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    At what rate of interest (rounded off to two decimal places) per year will a sum of money double itself in 12 years on simple interest?
    Question

    At what rate of interest (rounded off to two decimal places) per year will a sum of money double itself in 12 years on simple interest?

    A.

    6.33%

    B.

    8.33%

    C.

    16.67%

    D.

    10.33%

    Correct option is B

    Given:

    A sum doubles in 12 years under simple interest SI.

    Time, t = 12 years; Amount A = 2P.

    Formula Used:

    Simple Interest: SI=P×r×t100\text{SI} = \dfrac{P \times r \times t}{100}​​

    Amount: A = P + SI

    Solution:
    Since the sum doubles, A = 2P 

    SI = A - P = P.
    P =P×r×12100 \frac{P \times r \times 12}{100}​​

    1 = r×12100\frac{r \times 12}{100}

    r =10012= \frac{100}{12} =​ 8.33%

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