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At what rate (in percentage) per year will a sum of money 5 times itself in 16 years on simple interest?
Question

At what rate (in percentage) per year will a sum of money 5 times itself in 16 years on simple interest?

A.

23

B.

25

C.

50

D.

27

Correct option is B

Given
Amount becomes 5 times the Principal.
Time = 16 years.
Formula Used
Simple Interest (SI) = Amount - Principal
Rate = SI×100Principal×Time\frac{SI \times 100}{Principal \times Time}​​
Solution
Let Principal be P.
Amount = 5P
SI = 5P - P = 4P
Rate = 4P×100P×16\frac{4P \times 100}{P \times 16}​​

Rate =  40016=25%\frac{400}{16} = 25\%​​
Final Answer
So the correct answer is (b) 
Exam Hall Method:

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