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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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