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The Simple Interest and Compound Interest on a certain sum of money for two years are Rs.8400 and Rs.8652 respectively. Find the rate of interest.
Question

The Simple Interest and Compound Interest on a certain sum of money for two years are Rs.8400 and Rs.8652 respectively. Find the rate of interest.

A.

5.5%

B.

6%

C.

5%

D.

4.5%

Correct option is B

Given:

SI = 8400

CI = 8652

Time = 2 years

R = ?

Calculation:

CI - SI = 8652 – 8400 = 252

Simple interest for 2 years = 8400

Thus, SI for 1 year =84002\frac{ 8400}{2}​ = 4200

This interest is offered on interest of 1st year

∴ Rate of interest =2524200\frac{252}{4200}​ ×100= 6%

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