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    The rate at which a sum becomes 2 times of itself in 10 years at simple interest is:
    Question

    The rate at which a sum becomes 2 times of itself in 10 years at simple interest is:

    A.

    10%

    B.

    25%

    C.

    20%

    D.

    15%

    Correct option is A

    Given:

    Time = 10 years

    Amount = 2(Principle)

    Formula used:

    Simple interest =(P×R×T)100 \frac{(P×R×T)}{100}

    where, P= Principle, R= Rate, T= Time

    Amount = SI + Principle

    Solution:

    Amount = P+(P×R×T)100P + \frac{(P×R×T)}{100}​​

    =>2P=P+(P×R×10)100 2P= P + \frac{(P×R×10)}{100}​​

    =>P=(P×R×10)100 P = \frac{(P×R×10)}{100}​​

    => R = 10%

    Therefore, the rate is 10%.

    Hence option (a) is the correct answer.

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