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If a sum becomes its double in 10 years, then the annual rate of simple interest is:
Question

If a sum becomes its double in 10 years, then the annual rate of simple interest is:

A.

8%

B.

5%

C.

10%

D.

20%

Correct option is C

Given:
Time = 10 years
The sum becomes double its original value.
Formula Used:
Simple Interest = P×R×T100 \frac{P × R × T}{100}​​
Amount = Principal + Simple Interest
Solution:
Let the principal sum be P.
Since the amount becomes double, Amount = 2P.
Simple Interest = Amount - Principal
Simple Interest = 2P - P = P
Substitute the values into the formula:
P = P×R×10100\frac{P × R × 10}{100}​​

1 = 10R100 \frac{10R}{100}​​

1 =R10 \frac{R}{10}​​

R = 10%
Final Answer
So the correct answer is (c)

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