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The simple interest received on a sum at the rate of 4 percent per annum is 3/5 of the sum. What is the time period?
Question

The simple interest received on a sum at the rate of 4 percent per annum is 3/5 of the sum. What is the time period?

A.

12 years

B.

10 years

C.

20 years

D.

15 years

Correct option is D

Given:
Rate of Interest (R) = 4% per annum
Simple Interest (SI) = 35×Principal (P)\frac{3}{5} \times \text {Principal (P)}​​
Formula Used:
Simple Interest (SI) = P×R×T100\frac{P \times R \times T}{100}​​
Time (T) = SI×100P×R\frac{SI \times 100}{P \times R}​​
Solution:
T=35×P×100P×4 T=3×1005×4 T=30020T = \frac{\frac{3}{5} \times P \times 100}{P \times 4}\\\ \\T = \frac{3 \times 100}{5 \times 4}\\\ \\T = \frac{300}{20}\\​​
T = 15
Therefore, the time period is 15 years.

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