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On a sum of money, the Simple Interest for 2 years is Rs.660 while the Compound Interest for two years is Rs.696.30, the rate of interest being the sa
Question

On a sum of money, the Simple Interest for 2 years is Rs.660 while the Compound Interest for two years is Rs.696.30, the rate of interest being the same. Find the rate of interest.

A.

12.75%

B.

13%

C.

10%

D.

11 %

Correct option is D

Given:
Simple Interest (SI) for 2 years = Rs. 660
Compound Interest (CI) for 2 years = Rs. 696.30

Formula Used:
CI - SI = SI × (Rate/100)²

Solution:


Difference between CI and SI for 2 years = 696.30 – 660 = 36.30

SI for 2 years = 660

SI for 1 year = 660/2 = 330

∴ Interest rate = (36.3/330) × 100 = 11%

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