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The simple interest on a certain sum of money at rate of interest 6% per annum for 2 years is Rs. 960. What is the compound interest (compounding annu
Question

The simple interest on a certain sum of money at rate of interest 6% per annum for 2 years is Rs. 960. What is the compound interest (compounding annually) on the same sum for the same period and at the same rate of interest?

A.

Rs. 985.4

B.

Rs. 988.8

C.

Rs. 1122.2

D.

Rs. 1025.1

Correct option is B

​Given:
- Simple Interest (SI) = Rs. 960
- Rate of Interest = 6%
- Time = 2 years
Formula Used:
 SI = (P × R × T) / 100
 Compound Interest (CI) = P×(1+R/100)TPP × (1 + R/100)^T - P​​
Solution:
SI = (P × R × T) / 100
960 = (P × 6 × 2) / 100
P = Rs. 8000
Compound Interest (CI) = P × (1 + R/100)2^2​ - P
CI = 8000 × (1 + 6/100)2^2​- 8000
CI = 8000 × 1.062^2​ - 8000
CI = 8000 × 1.1236 - 8000
CI = Rs.988.88

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