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The difference between compound interest (compounding annually) and simple interest on a sum of Rs. 10,00,000 for 2 years is Rs. 2401. Find the rate o
Question

The difference between compound interest (compounding annually) and simple interest on a sum of Rs. 10,00,000 for 2 years is Rs. 2401. Find the rate of interest per annum.

A.

4.9%

B.

6.1%

C.

5.0%

D.

5.2%

Correct option is A

Given: Principal = 1000000, Time = 2 years, Difference in interests = 2401
Formula Used: Difference = P×(R100)2P \times {(\frac{R}{ 100})}^2​​
Solution:
2401 = 1000000 ×R210000\times \frac{R^2}{10000}

2401100=R2\frac{2401}{100} = R^2

R=2401100R = \sqrt{\frac{2401}{100}}

R = 4.9%

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