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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?

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1. 

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?

[A]. 8
[B]. 10
[C]. 12
[D]. Cannot be determined
[E]. None of these

Answer: Option A

Explanation:

 

  1-sym-obracket-h1 15000 x 1-sym-oparen-h1 1 + R 1-sym-cparen-h1 2 - 15000 1-sym-cbracket-h1 - 1-sym-oparen-h1 15000 x R x 2 = 96
100 100
 15000 1-sym-obracket-h1 1-sym-oparen-h1 1 + R 1-sym-cparen-h1 2 - 1 - 2R 1-sym-cbracket-h1 = 96
100 100
 15000 1-sym-obracket-h1 (100 + R)2 - 10000 - (200 x R) 1-sym-cbracket-h1 = 96
10000
 R2 = 1-sym-oparen-h1 96 x 2 1-sym-cparen-h1 = 64
3

 R = 8.

 Rate = 8%.

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