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		<title>A boat covers a distance of 30 km downstream in 2 hours while it takes 6 hours to cover the same distance upstream. What is the speed of the boat in km/hr ?</title>
		<link>https://www.wikitechy.com/interview-questions/boats-and-streams/a-boat-covers-a-distance-of-30-km-downstream-in-2-hours-while-it-takes-6-hours-to-cover-the-same-distance-upstream-what-is-the-speed-of-the-boat-in-km-hr/</link>
					<comments>https://www.wikitechy.com/interview-questions/boats-and-streams/a-boat-covers-a-distance-of-30-km-downstream-in-2-hours-while-it-takes-6-hours-to-cover-the-same-distance-upstream-what-is-the-speed-of-the-boat-in-km-hr/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Wed, 18 Aug 2021 02:44:04 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=2078</guid>

					<description><![CDATA[Answer : C. 10]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">A boat covers a distance of 30 km downstream in 2 hours while it takes 6 hours to cover the same distance upstream. What is the speed of the boat in km/hr ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 5</p>
</div>
<div class="col-sm-6">
<p>B. 7.5</p>
</div>
<div class="col-sm-6">
<p>C. 10</p>
</div>
<div class="col-sm-6">
<p>D. 12</p>
</div>
</div>
</div>
</div>
<h3 id="answer-c-10"><b>Answer : </b>C. 10</h3>
<div class="subheading">
<h2 id="explanation">Explanation :</h2>
</div>
<div class="Content">
<div class="hddn">
<ul>
<li>Speed of boat downstream<br />
= Distance covered / Time taken<br />
= 30/2<br />
= 15 km/h</li>
<li>Now, speed of boat upstream<br />
= Distance covered / Time taken<br />
= 30/6<br />
= 5 km/h</li>
<li>Now, speed of boat = (Speed downstream + Speed upstream)/2<br />
= (15 + 5)/2<br />
= 20/2<br />
= 10 km/h.</li>
</ul>
</div>
</div>
]]></content:encoded>
					
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			<slash:comments>0</slash:comments>
		
		
			</item>
		<item>
		<title>A motorboat whose speed is 15 km/hr in still water goes 30km downstream and comes back in four and a half hours. The speed of the stream is ?</title>
		<link>https://www.wikitechy.com/interview-questions/boats-and-streams/a-motorboat-whose-speed-is-15-km-hr-in-still-water-goes-30km-downstream-and-comes-back-in-four-and-a-half-hours-the-speed-of-the-stream-is/</link>
					<comments>https://www.wikitechy.com/interview-questions/boats-and-streams/a-motorboat-whose-speed-is-15-km-hr-in-still-water-goes-30km-downstream-and-comes-back-in-four-and-a-half-hours-the-speed-of-the-stream-is/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Wed, 18 Aug 2021 02:39:49 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=2075</guid>

					<description><![CDATA[Answer : D. 5 km/hr]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">A motorboat whose speed is 15 km/hr in still water goes 30km downstream and comes back in four and a half hours. The speed of the stream is ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 4.5 km/hr</p>
</div>
<div class="col-sm-6">
<p>B. 6 km/hr</p>
</div>
<div class="col-sm-6">
<p>C. 7 km/hr</p>
</div>
<div class="col-sm-6">
<p>D. 5 km/hr</p>
</div>
</div>
</div>
</div>
<h3 id="answer-d-5-km-hr"><b>Answer : </b>D. 5 km/hr</h3>
<div class="subheading">
<h2 id="explanation">Explanation :</h2>
</div>
<div class="Content">
<div class="hddn">
<p>Let the speed of the stream be x km/hr. Then,<br />
Speed downstream = (15 + x) km/hr<br />
Speed upstream = (15 &#8211; x) km/hr</p>
<p>We know from question that it took 4(1/2)hrs to travel back to same point.<br />
So, (30/15 + x) + (30/15 − x) = 4(1/2)<br />
=&gt; 900/225 − x<sup>2</sup> = 9/2<br />
=&gt; 9x<sup>2</sup> = 225<br />
=&gt; x = 5km/hr.</p>
</div>
</div>
]]></content:encoded>
					
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			<slash:comments>0</slash:comments>
		
		
			</item>
		<item>
		<title>If the simple interest on a certain sum of money is 4/25 of the sum and the rate percent equals the number years, then the rate of interest per annum is ?</title>
		<link>https://www.wikitechy.com/interview-questions/simple-interest/if-the-simple-interest-on-a-certain-sum-of-money-is-4-25-of-the-sum-and-the-rate-percent-equals-the-number-years-then-the-rate-of-interest-per-annum-is/</link>
					<comments>https://www.wikitechy.com/interview-questions/simple-interest/if-the-simple-interest-on-a-certain-sum-of-money-is-4-25-of-the-sum-and-the-rate-percent-equals-the-number-years-then-the-rate-of-interest-per-annum-is/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Wed, 18 Aug 2021 02:28:06 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=2063</guid>

					<description><![CDATA[Answer : A. 4 %...]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">If the simple interest on a certain sum of money is 4/25 of the sum and the rate percent equals the number years, then the rate of interest per annum is ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 4 %</p>
</div>
<div class="col-sm-6">
<p>B. 5 %</p>
</div>
<div class="col-sm-6">
<p>C. 8 %</p>
</div>
<div class="col-sm-6">
<p>D. 10 %</p>
</div>
</div>
</div>
</div>
<h3 id="answer-a-4"><b>Answer : </b>A. 4 %&#8230;</h3>
<div class="subheading">
<h2 id="explanation">Explanation :</h2>
</div>
<div class="Content">
<div class="hddn">
<p>Let the principal be Rs.x, then the simple interest (I) = (4 / 25 )x.<br />
The rate of interest per annum be r% then time (T) = r years<br />
R = ( 100 * I ) / ( P * T )<br />
r = ( 100 * ( 4/25 ) x ) / ( x * r )<br />
r<sup>2</sup> = 400 / 25<br />
r = 20 / 5<br />
= 4 %</p>
</div>
</div>
<div class="text-center row"></div>
]]></content:encoded>
					
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		<title>A certain sum of money amounts to Rs.1300 in 2 years and to Rs. 1525 in 3.5 years. Find the sum and the rate of interest ?</title>
		<link>https://www.wikitechy.com/interview-questions/simple-interest/a-certain-sum-of-money-amounts-to-rs-1300-in-2-years-and-to-rs-1525-in-3-5-years-find-the-sum-and-the-rate-of-interest/</link>
					<comments>https://www.wikitechy.com/interview-questions/simple-interest/a-certain-sum-of-money-amounts-to-rs-1300-in-2-years-and-to-rs-1525-in-3-5-years-find-the-sum-and-the-rate-of-interest/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Wed, 18 Aug 2021 02:26:10 +0000</pubDate>
				<category><![CDATA[Simple Interest]]></category>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=2062</guid>

					<description><![CDATA[Answer : D. Rs 1000, 15%...]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">A certain sum of money amounts to Rs.1300 in 2 years and to Rs. 1525 in 3.5 years. Find the sum and the rate of interest ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. Rs 850 , 10%</p>
</div>
<div class="col-sm-6">
<p>B. Rs 900, 12%</p>
</div>
<div class="col-sm-6">
<p>C. Rs 800, 13%</p>
</div>
<div class="col-sm-6">
<p>D. Rs 1000,15%</p>
</div>
</div>
</div>
</div>
<h3 id="answer-d-rs-1000-15"><b>Answer : </b>D. Rs 1000, 15%&#8230;</h3>
<div class="subheading">
<h2 id="explanation">Explanation :</h2>
</div>
<div class="Content">
<div class="hddn">
<p>1525 &#8211; 1300 = 225 for 1.5 yrs (3.5 &#8211; 2)<br />
So for one yr 225 / 1.5 = 150<br />
then for 2 yrs interest is 150 + 150 = 300<br />
Then principal 1300 &#8211; 300 = 1000.<br />
Now 150 / 1000 * 100 = 15%</p>
</div>
</div>
]]></content:encoded>
					
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1976</guid>

					<description><![CDATA[Answer : C. 40]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">In a dairy farm, 40 cows eat 40 bags of husk in 40 days. In how many days one cow will eat one bag of husk ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 1</p>
</div>
<div class="col-sm-6">
<p>B. 1/40</p>
</div>
<div class="col-sm-6">
<p>C. 40</p>
</div>
<div class="col-sm-6">
<p>D. 80</p>
</div>
</div>
</div>
</div>
<h3 id="answer-c-40"><b>Answer : </b>C. 40</h3>
<div class="subheading">
<h2 id="explanation">Explanation:</h2>
</div>
<div class="Content">
<div class="hddn">
<p>Assume that in x days, one cow will eat one bag of husk.<br />
More cows, less days (Indirect proportion)<br />
More bags, more days (Direct proportion)<br />
Hence we can write as</p>
<div class="ImageContent">
<div class="hddn"><img decoding="async" class="img-responsive center-block" src="https://cdn.wikitechy.com/interview-questions/aptitude/chain-rule/in-a-dairy-farm-40-cows-eat-40-bags-of-husk.png" alt="In a dairy farm, 40 cows eat 40 bags of husk" /></div>
</div>
<ul>
<li style="list-style-type: none;">
<ul>1 x 40 x x = 40 x 1 x 40</ul>
</li>
</ul>
<ul>x = 40.</ul>
</div>
</div>
]]></content:encoded>
					
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			<slash:comments>0</slash:comments>
		
		
			</item>
		<item>
		<title>A man sitting on a train travelling at the rate of 50 km/hr observes that it takes 9 sec for goods train travelling in the opposite direction to pass him. If the goods train is 187.5m long. Find its speed ?</title>
		<link>https://www.wikitechy.com/interview-questions/time-and-distance/a-man-sitting-on-a-train-travelling-at-the-rate-of-50-km-hr-observes-that-it-takes-9-sec-for-goods-train-travelling-in-the-opposite-direction-to-pass-him-if-the-goods-train-is-187-5m-long-find-its-s/</link>
					<comments>https://www.wikitechy.com/interview-questions/time-and-distance/a-man-sitting-on-a-train-travelling-at-the-rate-of-50-km-hr-observes-that-it-takes-9-sec-for-goods-train-travelling-in-the-opposite-direction-to-pass-him-if-the-goods-train-is-187-5m-long-find-its-s/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 21:35:54 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1968</guid>

					<description><![CDATA[Answer : C. 24 km/hr]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">A man sitting on a train travelling at the rate of 50 km/hr observes that it takes 9 sec for goods train travelling in the opposite direction to pass him. If the goods train is 187.5m long. Find its speed ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 40 km/hr</p>
</div>
<div class="col-sm-6">
<p>B. 30 km/hr</p>
</div>
<div class="col-sm-6">
<p>C. 24 km/hr</p>
</div>
<div class="col-sm-6">
<p>D. 25 km/hr</p>
</div>
</div>
<h3 id="answer-c-24-km-hr"><b>Answer : </b>C. 24 km/hr</h3>
</div>
</div>
<div class="subheading">
<h2 id="explanation">Explanation :</h2>
</div>
<div class="Content">
<div class="hddn">
<p>Let the speed of goods train be x km/hr.<br />
Then, (50 + x) * ( 5 / 18 ) = 187.5 / 9<br />
⇒ x = 25 km/hr.</p>
</div>
</div>
]]></content:encoded>
					
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			<slash:comments>0</slash:comments>
		
		
			</item>
		<item>
		<title>A cyclist drove one kilometre, with the wind in his back, in three minutes and drove the same way back, against the wind in four minutes. If we assume that the cyclist always puts constant force on the pedals, how much time would it take him to drive one kilometre without wind ?</title>
		<link>https://www.wikitechy.com/interview-questions/time-and-distance/a-cyclist-drove-one-kilometre-with-the-wind-in-his-back-in-three-minutes-and-drove-the-same-way-back-against-the-wind-in-four-minutes-if-we-assume-that-the-cyclist-always-puts-constant-force-on-th/</link>
					<comments>https://www.wikitechy.com/interview-questions/time-and-distance/a-cyclist-drove-one-kilometre-with-the-wind-in-his-back-in-three-minutes-and-drove-the-same-way-back-against-the-wind-in-four-minutes-if-we-assume-that-the-cyclist-always-puts-constant-force-on-th/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 21:34:46 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1967</guid>

					<description><![CDATA[Answer : B. 24/7 min]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">A cyclist drove one kilometre, with the wind in his back, in three minutes and drove the same way back, against the wind in four minutes. If we assume that the cyclist always puts constant force on the pedals, how much time would it take him to drive one kilometre without wind ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 7/3 min</p>
</div>
<div class="col-sm-6">
<p>B. 24/7 min</p>
</div>
<div class="col-sm-6">
<p>C. 17/7 min</p>
</div>
<div class="col-sm-6">
<p>D. 43/12 min</p>
</div>
</div>
</div>
</div>
<h3 id="answer-b-24-7-min"><b>Answer : </b>B. 24/7 min</h3>
<div class="subheading">
<h2 id="explanation">Explanation :</h2>
</div>
<div class="Content">
<div class="hddn">
<ul>
<li>Let the speed of the cyclist be &#8216;x&#8217; km/h and wind be &#8216;y&#8217; km/h.<br />
1 / (x + y) = 3/60<br />
⇒ x + y = 20 &#8212;&#8212;&#8211;&gt; (i)<br />
And, 1 / (x − y) = 4/60<br />
⇒ x − y = 15 &#8212;&#8212;&#8211;&gt; (ii)</li>
<li>On solving both the equations we get:<br />
x = 35/2<br />
y = 5/2</li>
<li>Now, time taken by cyclist without wind:<br />
= 2/35 × 60<br />
= 24/7 min</li>
</ul>
</div>
</div>
]]></content:encoded>
					
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			<slash:comments>0</slash:comments>
		
		
			</item>
		<item>
		<title>A car travels first half distance between two places with a speed of 40 km/hr and rest of the half distance with a speed of 60 km/hr. The average speed of the car is ?</title>
		<link>https://www.wikitechy.com/interview-questions/time-and-distance/a-car-travels-first-half-distance-between-two-places-with-a-speed-of-40-km-hr-and-rest-of-the-half-distance-with-a-speed-of-60-km-hr-the-average-speed-of-the-car-is/</link>
					<comments>https://www.wikitechy.com/interview-questions/time-and-distance/a-car-travels-first-half-distance-between-two-places-with-a-speed-of-40-km-hr-and-rest-of-the-half-distance-with-a-speed-of-60-km-hr-the-average-speed-of-the-car-is/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 21:33:17 +0000</pubDate>
				<category><![CDATA[Time and Distance]]></category>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1966</guid>

					<description><![CDATA[Answer : A. 48 km/hr]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">A car travels first half distance between two places with a speed of 40 km/hr and rest of the half distance with a speed of 60 km/hr. The average speed of the car is ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 48 km/hr</p>
</div>
<div class="col-sm-6">
<p>B. 37 km/hr</p>
</div>
<div class="col-sm-6">
<p>C. 44 km/hr</p>
</div>
<div class="col-sm-6">
<p>D. 45 km/hr</p>
</div>
</div>
</div>
</div>
<h3 id="answer-a-48-km-hr"><b>Answer : </b>A. 48 km/hr</h3>
<div class="subheading">
<h2 id="explanation">Explanation :</h2>
</div>
<div class="Content">
<div class="hddn">
<p>Let the total distance covered be S km.<br />
Total time taken= S / (2 × 40) + S / (2 × 60)<br />
= 5S / 240 hr<br />
Average speed = S × ( 240/ 5S )<br />
= 48 km/hr</p>
</div>
</div>
]]></content:encoded>
					
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			<slash:comments>0</slash:comments>
		
		
			</item>
		<item>
		<title>A man can row 4.5 km/hr in still water and he finds that it takes him twice as long to row up as to row down the river. Find the rate of the stream ?</title>
		<link>https://www.wikitechy.com/interview-questions/time-and-distance/a-man-can-row-4-5-km-hr-in-still-water-and-he-finds-that-it-takes-him-twice-as-long-to-row-up-as-to-row-down-the-river-find-the-rate-of-the-stream/</link>
					<comments>https://www.wikitechy.com/interview-questions/time-and-distance/a-man-can-row-4-5-km-hr-in-still-water-and-he-finds-that-it-takes-him-twice-as-long-to-row-up-as-to-row-down-the-river-find-the-rate-of-the-stream/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 21:27:35 +0000</pubDate>
				<category><![CDATA[Time and Distance]]></category>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1965</guid>

					<description><![CDATA[Answer : C. 1.5 km/hrs]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">A man can row 4.5 km/hr in still water and he finds that it takes him twice as long to row up as to row down the river. Find the rate of the stream ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 2 km/hr</p>
</div>
<div class="col-sm-6">
<p>B. 2.5 km/hr</p>
</div>
<div class="col-sm-6">
<p>C. 1.5 km/hr</p>
</div>
<div class="col-sm-6">
<p>D. 1.75 km/hr</p>
</div>
</div>
</div>
</div>
<h3 id="answer-c-1-5-km-hrs"><b>Answer : </b>C. 1.5 km/hrs</h3>
<div class="subheading">
<h2 id="explanation">Explanation :</h2>
</div>
<div class="Content">
<div class="hddn">
<p>Let the speed of the current be x km/hr.<br />
Upward speed = (4.5 + x) km/hr<br />
Downward speed = (4.5 − x) km/hr.<br />
Let distance travelled be y, then<br />
y / (4.5 − x) = 2y / (4.5 + x)<br />
x = 1.5 km/hr</p>
</div>
</div>
]]></content:encoded>
					
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			<slash:comments>0</slash:comments>
		
		
			</item>
		<item>
		<title>Length of the train is 170 meters and speed of the train is 63 km/hour. This train can pass a bridge in 30 seconds, then find the length of the bridge ?</title>
		<link>https://www.wikitechy.com/interview-questions/problems-on-trains/length-of-the-train-is-170-meters-and-speed-of-the-train-is-63-km-hour-this-train-can-pass-a-bridge-in-30-seconds-then-find-the-length-of-the-bridge/</link>
					<comments>https://www.wikitechy.com/interview-questions/problems-on-trains/length-of-the-train-is-170-meters-and-speed-of-the-train-is-63-km-hour-this-train-can-pass-a-bridge-in-30-seconds-then-find-the-length-of-the-bridge/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 15:14:40 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1800</guid>

					<description><![CDATA[Answer : A. 355 mtrs]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">Length of the train is 170 meters and speed of the train is 63 km/hour. This train can pass a bridge in 30 seconds, then find the length of the bridge ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 355 mtrs</p>
</div>
<div class="col-sm-6">
<p>B. 325 mtrs</p>
</div>
<div class="col-sm-6">
<p>C. 365 mtrs</p>
</div>
<div class="col-sm-6">
<p>D. 312 mtrs</p>
</div>
</div>
</div>
</div>
<h3 id="answer-a-355-mtrs"><b>Answer : </b>A. 355 mtrs</h3>
<div class="subheading">
<h2 id="explanation">Explanation :</h2>
</div>
<div class="Content">
<div class="hddn">
<p>Given speed = 63 km/hr = 63 × 5/18 = 35/2 m/s<br />
Let the length of the bridge = x mts<br />
Given time taken to cover the distance of (170 + x)mts is 30 sec.<br />
We know speed = distance/time<br />
35 / 2 = ( 170 + x ) / 30<br />
x = 355 mts.</p>
</div>
</div>
]]></content:encoded>
					
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			<slash:comments>0</slash:comments>
		
		
			</item>
		<item>
		<title>A train speed past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is ?</title>
		<link>https://www.wikitechy.com/interview-questions/problems-on-trains/a-train-speed-past-a-pole-in-15-seconds-and-a-platform-100-m-long-in-25-seconds-its-length-is/</link>
					<comments>https://www.wikitechy.com/interview-questions/problems-on-trains/a-train-speed-past-a-pole-in-15-seconds-and-a-platform-100-m-long-in-25-seconds-its-length-is/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 15:12:56 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1799</guid>

					<description><![CDATA[Answer : B. 150 m]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">A train speed past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 50 m</p>
</div>
<div class="col-sm-6">
<p>B. 150 m</p>
</div>
<div class="col-sm-6">
<p>C. 200 m</p>
</div>
<div class="col-sm-6">
<p>D. None of these</p>
</div>
</div>
</div>
</div>
<h3 id="answer-b-150-m"><b>Answer : </b>B. 150 m</h3>
<div class="subheading">
<h2 id="explanation">Explanation :</h2>
</div>
<div class="Content">
<div class="hddn">
<p>Let the length of the train be x metres and its speed by y m/sec.<br />
Then, x / y = 15<br />
=&gt; y = x / 15<br />
(x + 100) / 25 = x / 15<br />
=&gt; 15(x + 100) = 25x<br />
=&gt; 15x + 1500 = 25x<br />
=&gt; 1500 = 10x<br />
=&gt; x = 150 m.</p>
</div>
</div>
]]></content:encoded>
					
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			<slash:comments>0</slash:comments>
		
		
			</item>
		<item>
		<title>Two trains of equal length, running in opposite directions, pass a pole in 18 and 12 seconds. The trains will cross each other in ?</title>
		<link>https://www.wikitechy.com/interview-questions/problems-on-trains/two-trains-of-equal-length-running-in-opposite-directions-pass-a-pole-in-18-and-12-seconds-the-trains-will-cross-each-other-in/</link>
					<comments>https://www.wikitechy.com/interview-questions/problems-on-trains/two-trains-of-equal-length-running-in-opposite-directions-pass-a-pole-in-18-and-12-seconds-the-trains-will-cross-each-other-in/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 15:10:18 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1798</guid>

					<description><![CDATA[Answer : A. 14.4 sec]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">Two trains of equal length, running in opposite directions, pass a pole in 18 and 12 seconds. The trains will cross each other in ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 14.4 sec</p>
</div>
<div class="col-sm-6">
<p>B. 15.5 sec</p>
</div>
<div class="col-sm-6">
<p>C. 18.8 sec</p>
</div>
<div class="col-sm-6">
<p>D. 20.2 sec</p>
</div>
</div>
</div>
</div>
<h3 id="answer-a-14-4-sec"><b>Answer : </b>A. 14.4 sec</h3>
<div class="subheading">
<h2 id="explanation">Explanation :</h2>
</div>
<div class="Content">
<div class="hddn">
<p>Let length of each train be x meter.<br />
Then, speed of 1<sup>st</sup> train = x/18 m/sec<br />
Speed of 2<sup>nd</sup> train = x/12 m/sec</p>
<p>Now, When both trains cross each other, time taken<br />
= [ 2x/((x / 18 ) + (x / 12)) ]
= 2x / [(2x + 3x) / 36] = 2x * 36 / 5x<br />
= 72 / 5<br />
= 14.4 seconds.</p>
</div>
</div>
]]></content:encoded>
					
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			</item>
		<item>
		<title>A train of length 110 meters is running at a speed of 60 kmph. In what time, it will pass a man who is running at 6 kmph in the direction opposite to that in which the train is going ?</title>
		<link>https://www.wikitechy.com/interview-questions/problems-on-trains/a-train-of-length-110-meters-is-running-at-a-speed-of-60-kmph-in-what-time-it-will-pass-a-man-who-is-running-at-6-kmph-in-the-direction-opposite-to-that-in-which-the-train-is-going/</link>
					<comments>https://www.wikitechy.com/interview-questions/problems-on-trains/a-train-of-length-110-meters-is-running-at-a-speed-of-60-kmph-in-what-time-it-will-pass-a-man-who-is-running-at-6-kmph-in-the-direction-opposite-to-that-in-which-the-train-is-going/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 15:08:04 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1797</guid>

					<description><![CDATA[Answer : C. 6]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">A train of length 110 meters is running at a speed of 60 kmph. In what time, it will pass a man who is running at 6 kmph in the direction opposite to that in which the train is going ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 10</p>
</div>
<div class="col-sm-6">
<p>B. 8</p>
</div>
<div class="col-sm-6">
<p>C. 6</p>
</div>
<div class="col-sm-6">
<p>D. 4</p>
</div>
</div>
</div>
</div>
<h3 id="answer-c-6"><b>Answer : </b>C. 6</h3>
<div class="subheading">
<h2 id="explanation">Explanation :</h2>
</div>
<div class="Content">
<div class="hddn">
<p>Distance = 110 m<br />
Relative speed = 60 + 6 = 66 kmph ( Since both the train and the man are in moving in opposite direction )<br />
= (66 * 5 / 18) m/sec<br />
= 55 / 3 m/sec</p>
<p>Time taken to pass the man = (100 * 3/ 55) = 6 s</p>
</div>
</div>
]]></content:encoded>
					
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			<slash:comments>0</slash:comments>
		
		
			</item>
		<item>
		<title>Vijay invested Rs.50,000 partly at 10% and partly at 15%. His total income after a year was Rs.7000. How much did he invest at the rate of 10% ?</title>
		<link>https://www.wikitechy.com/interview-questions/compound-interest/vijay-invested-rs-50000-partly-at-10-and-partly-at-15-his-total-income-after-a-year-was-rs-7000-how-much-did-he-invest-at-the-rate-of-10/</link>
					<comments>https://www.wikitechy.com/interview-questions/compound-interest/vijay-invested-rs-50000-partly-at-10-and-partly-at-15-his-total-income-after-a-year-was-rs-7000-how-much-did-he-invest-at-the-rate-of-10/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 14:59:21 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1788</guid>

					<description><![CDATA[Answer : A. 40,000...]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">Vijay invested Rs.50,000 partly at 10% and partly at 15%. His total income after a year was Rs.7000. How much did he invest at the rate of 10% ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 40,000</p>
</div>
<div class="col-sm-6">
<p>B. 41,000</p>
</div>
<div class="col-sm-6">
<p>C. 12,000</p>
</div>
<div class="col-sm-6">
<p>D. 20,000</p>
</div>
</div>
</div>
</div>
<h3 id="answer-a-40000"><b>Answer : </b>A. 40,000&#8230;</h3>
<div class="subheading">
<h2 id="explanation">Explanation :</h2>
</div>
<div class="Content">
<div class="hddn">
<p>Let the amount Vijay invested at the rate of 10% = Rs x<br />
The amount invested at 15% = Rs (50,000 &#8211; x)<br />
Time = 1yr<br />
Income from 10% rate = 10% of x = x/10<br />
Income from 15% rate = 15% of (50,000 &#8211; x) = (150,000 &#8211; 3x)/20</p>
<p>According to question,<br />
[x/10] + [(150,000 &#8211; 3x)/20] = 7000<br />
150000 &#8211; x = 140000<br />
x = 10,000.<br />
Therefore, he has invested Rs 10,000 at 10% and Rs 40,000 at 15%.</p>
</div>
</div>
]]></content:encoded>
					
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			<slash:comments>0</slash:comments>
		
		
			</item>
		<item>
		<title>Rs.5887 is divided between Shyam and Ram, such that Shyam’s share at the end of 9 years is equal to Ram’s share at the end of 11 years, compounded annually at the rate of 5%. Find the share of Shyam ?</title>
		<link>https://www.wikitechy.com/interview-questions/compound-interest/rs-5887-is-divided-between-shyam-and-ram-such-that-shyams-share-at-the-end-of-9-years-is-equal-to-rams-share-at-the-end-of-11-years-compounded-annually-at-the-rate-of-5-find-the-s/</link>
					<comments>https://www.wikitechy.com/interview-questions/compound-interest/rs-5887-is-divided-between-shyam-and-ram-such-that-shyams-share-at-the-end-of-9-years-is-equal-to-rams-share-at-the-end-of-11-years-compounded-annually-at-the-rate-of-5-find-the-s/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 14:57:11 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1787</guid>

					<description><![CDATA[Answer : C. 3087...]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">Rs.5887 is divided between Shyam and Ram, such that Shyam’s share at the end of 9 years is equal to Ram’s share at the end of 11 years, compounded annually at the rate of 5%. Find the share of Shyam ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 2088</p>
</div>
<div class="col-sm-6">
<p>B. 2000</p>
</div>
<div class="col-sm-6">
<p>C. 3087</p>
</div>
<div class="col-sm-6">
<p>D. None of these</p>
</div>
</div>
</div>
</div>
<h3 id="answer-c-3087"><b>Answer : </b>C. 3087&#8230;</h3>
<div class="subheading">
<h2 id="explanation">Explanation :</h2>
</div>
<div class="Content">
<div class="hddn">
<p>Shyam’s share * (1 + 0.05)<sup>9</sup> = Ram’s share * (1 + 0.05)<sup>11</sup><br />
Shyam’s share / Ram’s share = (1 + 0.05)<sup>11</sup> / (1 + 0.05)<sup>9</sup><br />
= (1 + 0.05)<sup>2</sup><br />
= 441/400<br />
Therefore Shyam’s share = (441/841) * 5887<br />
= 3087 .</p>
</div>
</div>
]]></content:encoded>
					
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		<title>A certain sum amounts to Rs. 7000 in 2 years and to Rs. 8000 in 3 years. Find the sum ?</title>
		<link>https://www.wikitechy.com/interview-questions/compound-interest/a-certain-sum-amounts-to-rs-7000-in-2-years-and-to-rs-8000-in-3-years-find-the-sum/</link>
					<comments>https://www.wikitechy.com/interview-questions/compound-interest/a-certain-sum-amounts-to-rs-7000-in-2-years-and-to-rs-8000-in-3-years-find-the-sum/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 14:54:50 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1786</guid>

					<description><![CDATA[Answer : C. Rs 5359.37...]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">A certain sum amounts to Rs. 7000 in 2 years and to Rs. 8000 in 3 years. Find the sum ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. Rs 6959.37</p>
</div>
<div class="col-sm-6">
<p>B. Rs 6459.37</p>
</div>
<div class="col-sm-6">
<p>C. Rs 5359.37</p>
</div>
<div class="col-sm-6">
<p>D. Rs 5759.37</p>
</div>
</div>
</div>
</div>
<h3 id="answer-c-rs-5359-37"><b>Answer : </b>C. Rs 5359.37&#8230;</h3>
<div class="subheading">
<h2 id="explanation">Explanation :</h2>
</div>
<div class="Content">
<div class="hddn">
<p>Amount = Rs. 7000, Time = 2 years<br />
Amount = Rs. 8000, Time = 3 years<br />
To calculate sum, we must first calculate rate of interest.<br />
Simple interest = PRN / 100</p>
<p>S.I. on Rs. 7000 for 1 year = Rs. (8000 – 7000) = Rs. 1000<br />
1000 = 7000 × R × 1 / 100<br />
R = 11 23/7%<br />
Let sum be Rs. X<br />
7000 = P [ 1 + ( 100 / 7 × 100 ) ]<sup>2</sup><br />
8 / 7 × 8 / 7 × P = 7000<br />
P = 5359.37</p>
</div>
</div>
<div class="text-center row"></div>
]]></content:encoded>
					
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		<title>Find the compound interest on Rs. 20,000 in 2 years at 4 % per annum, the interest being compounded half-yearly ?</title>
		<link>https://www.wikitechy.com/interview-questions/compound-interest/find-the-compound-interest-on-rs-20000-in-2-years-at-4-per-annum-the-interest-being-compounded-half-yearly/</link>
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		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 14:52:16 +0000</pubDate>
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		<category><![CDATA[the compound interest on rs 2000 at 5% per annum]]></category>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1785</guid>

					<description><![CDATA[Answer : A. Rs 1648.64...]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">Find the compound interest on Rs.20,000 in 2years at 4% per annum, the interest being compounded half-yearly ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. Rs 1648.64</p>
</div>
<div class="col-sm-6">
<p>B. Rs 1596.32</p>
</div>
<div class="col-sm-6">
<p>C. Rs 14826.56</p>
</div>
<div class="col-sm-6">
<p>D. Rs 11563.99</p>
</div>
</div>
</div>
</div>
<h3 id="answer-a-rs-1648-64"><b>Answer : </b>A. Rs 1648.64&#8230;</h3>
<div class="subheading">
<h2 id="explanation">Explanation :</h2>
</div>
<div class="Content">
<div class="hddn">
<p>Interest is compounded half-yearly, therefore,<br />
Amount = P ( 1 + (R/2) /100 )<sup>2n</sup> &#8211; &#8211; &#8211; &#8211; &#8211; &#8211; &#8211; &#8211; &#8211; [Interest compounded Half-yearly]
<p><b>Given :</b><br />
Principal = Rs. 20000,<br />
Rate = 2 % per half-year,<br />
Time = 2 years = 4 half- years<br />
Amount = 20000 [ 1 + 2 / 100 ]<sup>4</sup><br />
Amount = Rs.21648.64<br />
Compound Interest = Total amount – Principal<br />
= 21648.64 – 20000<br />
= Rs. 1648.64</p>
</div>
</div>
<div class="text-center row"></div>
]]></content:encoded>
					
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			<slash:comments>0</slash:comments>
		
		
			</item>
		<item>
		<title>A property decreases in value every year at the rate of 6 1/4% of its value at the beginning of the year its value at the end of 3 years was Rs.21093. Find its value at the beginning of the first year ?</title>
		<link>https://www.wikitechy.com/interview-questions/compound-interest/a-property-decreases-in-value-every-year-at-the-rate-of-6-1-4-of-its-value-at-the-beginning-of-the-year-its-value-at-the-end-of-3-years-was-rs-21093-find-its-value-at-the-beginning-of-the-first-year/</link>
					<comments>https://www.wikitechy.com/interview-questions/compound-interest/a-property-decreases-in-value-every-year-at-the-rate-of-6-1-4-of-its-value-at-the-beginning-of-the-year-its-value-at-the-end-of-3-years-was-rs-21093-find-its-value-at-the-beginning-of-the-first-year/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 14:39:05 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1783</guid>

					<description><![CDATA[Answer : A. Rs 25600.24...]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">A property decreases in value every year at the rate of 6 1/4% of its value at the beginning of the year its value at the end of 3 years was Rs.21093. Find its value at the beginning of the first year ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. Rs 25600.24</p>
</div>
<div class="col-sm-6">
<p>B. Rs 32000.50</p>
</div>
<div class="col-sm-6">
<p>C. Rs 18060.26</p>
</div>
<div class="col-sm-6">
<p>D. Rs 18600</p>
</div>
</div>
</div>
</div>
<h3 id="answer-a-rs-25600-24"><b>Answer : </b>A. Rs 25600.24&#8230;</h3>
<div class="subheading">
<h2 id="explanation">Explanation :</h2>
</div>
<div class="Content">
<div class="hddn">
<p>6 1/4% = 1/16<br />
x * (15/16) * (15/16) * (15/16) = 21093<br />
x = 25600.24</p>
</div>
</div>
]]></content:encoded>
					
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			<slash:comments>0</slash:comments>
		
		
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		<title>A sum of money place at compound interest doubles itself in 4 years. In how many years will it amount to eight times itself ?</title>
		<link>https://www.wikitechy.com/interview-questions/compound-interest/a-sum-of-money-place-at-compound-interest-doubles-itself-in-4-years-in-how-many-years-will-it-amount-to-eight-times-itself/</link>
					<comments>https://www.wikitechy.com/interview-questions/compound-interest/a-sum-of-money-place-at-compound-interest-doubles-itself-in-4-years-in-how-many-years-will-it-amount-to-eight-times-itself/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 14:36:54 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1782</guid>

					<description><![CDATA[Answer : C. 12...]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">A sum of money place at compound interest doubles itself in 4 years. In how many years will it amount to eight times itself ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 16</p>
</div>
<div class="col-sm-6">
<p>B. 8</p>
</div>
<div class="col-sm-6">
<p>C. 12</p>
</div>
<div class="col-sm-6">
<p>D. 20</p>
</div>
</div>
</div>
</div>
<h3 id="answer-c-12"><b>Answer : </b>C. 12&#8230;</h3>
<div class="subheading">
<h2 id="explanation">Explanation :</h2>
</div>
<div class="Content">
<div class="hddn">
<p>Let, Principal = Rs. 100.<br />
Amount = Rs. 200.<br />
Rate = r%<br />
Time = 4 years.</p>
<p>Now,<br />
A = P * [ 1 + (r/100) ]<sup>n</sup><br />
200 = 100 * [ 1 + (r/100) ]<sup>4</sup><br />
2 = [1 + (r/100)]<sup>4</sup> &#8230;&#8230;&#8230;.. (i)<br />
If sum become 8 times in the time n years, then,<br />
8 = ( 1 + (r/100) )<sup>n</sup><br />
23 = ( 1 + (r/100) )<sup>n</sup> &#8230;&#8230;.. (ii)</p>
<p>Using eqn (i) in (ii), we get<br />
( [1 + (r/100) ]<sup>4</sup>)<sup>3</sup> = ( 1 + (r/100) )<sup>n</sup><br />
[1 + (r/100)]<sup>12</sup> = (1 + (r/100))<sup>n</sup><br />
n = 12 years.</p>
</div>
</div>
<div class="text-center row"></div>
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		<title>Rs.8000 become Rs.9261 in a certain interval of time at the rate of 5% per annum of C.I. Find the time ?</title>
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		<pubDate>Tue, 17 Aug 2021 14:34:24 +0000</pubDate>
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					<description><![CDATA[Answer : D. 3 years...]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">Rs.8000 become Rs.9261 in a certain interval of time at the rate of 5% per annum of C.I. Find the time ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 4 years</p>
</div>
<div class="col-sm-6">
<p>B. 6 years</p>
</div>
<div class="col-sm-6">
<p>C. 2 years</p>
</div>
<div class="col-sm-6">
<p>D. 3 years</p>
</div>
</div>
</div>
</div>
<h3 id="answer-d-3-years"><b>Answer : </b>D. 3 years&#8230;</h3>
<div class="subheading">
<h2 id="explanation">Explanation :</h2>
</div>
<div class="Content">
<div class="hddn">
<p>Amount = 9261 p = 8000<br />
rate = 5%<br />
A = p [ 1 + r / 100]<sup>n</sup><br />
9261 = 8000[1 + 5/100]<sup>n</sup><br />
=&gt; 9261 / 8000 = [21 / 20]<sup>n</sup><br />
=&gt; [21 / 20]<sup>3</sup>=[21 / 20]<sup>n</sup><br />
on comparing n = 3 so it will take 3years</p>
</div>
</div>
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