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    At what rate of interest (in percentage) per year will a sum of money double itself in 4 years on simple interest?
    Question

    At what rate of interest (in percentage) per year will a sum of money double itself in 4 years on simple interest?

    A.

    25%

    B.

    50%

    C.

    27%

    D.

    23%

    Correct option is A

    Given:

    Time t = 4 years

    Amount doubles on Simple Interest: A = 2P

    Formula Used:

    Simple Interest amount: A = P(1+rt)

    Solution: 

    For doubling: 2P = P(1+rt)

    rt = 1

    =1t=\dfrac{1}{t}​​

    r=14=0.25=\frac{1}{4}=0.25 ​= 25% per annum

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