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The difference between compound interest and simple interest on an amount of Rs. 15,000 for 2 years is Rs. 96. What is the rate of interest per annum?

Correct Answer: 8

Explanation:


[ 15000 x 1 + R 2 - 15000 ] - 15000 x R x 2 = 96
100 100



⟹ 15000 [ 1 + R 2 - 1 - 2R ] = 96
100 100



⟹ 15000 [ (100 + R)2 - 10000 - (200 x R) ] = 96
10000



⟹ R2 = 96 x 2 = 64
3


⟹ R = 8.


∴ Rate = 8%.


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