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If a certain sum of money becomes thrice of itself in 7 years 3 months at simple interest, then what will be the annual rate of interest?
Question

If a certain sum of money becomes thrice of itself in 7 years 3 months at simple interest, then what will be the annual rate of interest?

A.

25.68 percent

B.

29.27 percent

C.

30.23 percent

D.

27.58 percent

Correct option is D

Given:
Principal (P) = 100
Time = 7 years 3 months = 7.25 years
Amount (A) = 3P = 300
Formula Used:
SI=P×R×T100SI = \frac{P \times R \times T}{100}​​
Solution:
Simple Interest (SI) = A – P = 300 – 100 = 200
200=100×R×7.25100200=7.25RR=2007.25R=27.59% (approx.)200 = \frac{100 \times R \times 7.25}{100} \\200 = 7.25R \\R = \frac{200}{7.25} \\R = 27.59\% \ (\text{approx.})​​

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