simple and compound interest problems with solutions - Wikitechy https://www.wikitechy.com/interview-questions/tag/simple-and-compound-interest-problems-with-solutions/ Interview Questions Fri, 17 Sep 2021 11:17:03 +0000 en-US hourly 1 https://wordpress.org/?v=6.9 https://www.wikitechy.com/interview-questions/wp-content/uploads/2025/10/cropped-wikitechy-icon-32x32.png simple and compound interest problems with solutions - Wikitechy https://www.wikitechy.com/interview-questions/tag/simple-and-compound-interest-problems-with-solutions/ 32 32 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% ? 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/ 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 Tue, 17 Aug 2021 14:59:21 +0000 https://www.wikitechy.com/interview-questions/?p=1788

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% ?

A. 40,000

B. 41,000

C. 12,000

D. 20,000

Answer : A. 40,000…

Explanation :

Let the amount Vijay invested at the rate of 10% = Rs x
The amount invested at 15% = Rs (50,000 – x)
Time = 1yr
Income from 10% rate = 10% of x = x/10
Income from 15% rate = 15% of (50,000 – x) = (150,000 – 3x)/20

According to question,
[x/10] + [(150,000 – 3x)/20] = 7000
150000 – x = 140000
x = 10,000.
Therefore, he has invested Rs 10,000 at 10% and Rs 40,000 at 15%.

]]> 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/feed/ 0 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 ? 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/ 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 Tue, 17 Aug 2021 14:57:11 +0000 https://www.wikitechy.com/interview-questions/?p=1787

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 ?

A. 2088

B. 2000

C. 3087

D. None of these

Answer : C. 3087…

Explanation :

Shyam’s share * (1 + 0.05)9 = Ram’s share * (1 + 0.05)11
Shyam’s share / Ram’s share = (1 + 0.05)11 / (1 + 0.05)9
= (1 + 0.05)2
= 441/400
Therefore Shyam’s share = (441/841) * 5887
= 3087 .

]]> 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/feed/ 0 Find the compound interest on Rs. 20,000 in 2 years at 4 % per annum, the interest being compounded half-yearly ? 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/ 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/#respond Tue, 17 Aug 2021 14:52:16 +0000 https://www.wikitechy.com/interview-questions/?p=1785

Find the compound interest on Rs.20,000 in 2years at 4% per annum, the interest being compounded half-yearly ?

A. Rs 1648.64

B. Rs 1596.32

C. Rs 14826.56

D. Rs 11563.99

Answer : A. Rs 1648.64…

Explanation :

Interest is compounded half-yearly, therefore,
Amount = P ( 1 + (R/2) /100 )2n – – – – – – – – – [Interest compounded Half-yearly]

Given :
Principal = Rs. 20000,
Rate = 2 % per half-year,
Time = 2 years = 4 half- years
Amount = 20000 [ 1 + 2 / 100 ]4
Amount = Rs.21648.64
Compound Interest = Total amount – Principal
= 21648.64 – 20000
= Rs. 1648.64

]]> 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/feed/ 0 Rs.8000 become Rs.9261 in a certain interval of time at the rate of 5% per annum of C.I. Find the time ? https://www.wikitechy.com/interview-questions/compound-interest/rs-8000-become-rs-9261-in-a-certain-interval-of-time-at-the-rate-of-5-per-annum-of-c-i-find-the-time/ https://www.wikitechy.com/interview-questions/compound-interest/rs-8000-become-rs-9261-in-a-certain-interval-of-time-at-the-rate-of-5-per-annum-of-c-i-find-the-time/#respond Tue, 17 Aug 2021 14:34:24 +0000 https://www.wikitechy.com/interview-questions/?p=1781

Rs.8000 become Rs.9261 in a certain interval of time at the rate of 5% per annum of C.I. Find the time ?

A. 4 years

B. 6 years

C. 2 years

D. 3 years

Answer : D. 3 years…

Explanation :

Amount = 9261 p = 8000
rate = 5%
A = p [ 1 + r / 100]n
9261 = 8000[1 + 5/100]n
=> 9261 / 8000 = [21 / 20]n
=> [21 / 20]3=[21 / 20]n
on comparing n = 3 so it will take 3years

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