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%.

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Compound Interest

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