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What will be the compound interest (compounding annually) on a sum of Rs. 9000 at the rate of 32 percent per annum for 2 years?
Question

What will be the compound interest (compounding annually) on a sum of Rs. 9000 at the rate of 32 percent per annum for 2 years?

A.

Rs. 6400.4

B.

Rs. 6908.3

C.

Rs. 6790.7

D.

Rs. 6681.6

Correct option is D

Given:
Principal (P) = Rs. 9000
Rate (R) = 32%
Time (T) = 2 years
Formula Used:
Compound Interest=P(1+R100)TP\text {Compound Interest} = P(1 + \frac R{100})^T - P​​
Solution:
CI=9000×(1+32100)29000CI=9000×(1.32)29000CI=9000×1.74249000=15681.69000=Rs.6681.6Thus, the compound interest is Rs. 6681.6.CI = 9000 \times (1 + \frac{32}{100})^2 - 9000\\ CI = 9000 \times (1.32)^2 - 9000\\CI = 9000 \times 1.7424 - 9000 = 15681.6 - 9000 = Rs. 6681.6\\\text{Thus, the compound interest is Rs. 6681.6.}​​

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