Question 11

The difference between simple interest on a certain sum at the rate of 8% per annum for 18 months and 24 months is Rs 452. What is the sum (in Rs)?

Solution

Let the sum be = Rs. $$100x$$

Rate of interest = 8%

=> Simple interest = $$\frac{P\times R\times T}{100}$$

According to ques,

=> $$(\frac{100x\times8\times2}{100})-(\frac{100x\times8\times1.5}{100})=452$$

=> $$16x-12x=452$$

=> $$x=\frac{452}{4}=113$$

$$\therefore$$ Sum = $$100\times113=Rs.$$ $$11,300$$

=> Ans - (C)

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