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    What is the rate percent and time needed, both of them being equal in value, for the simple interest on a certain sum to be 36 over 100 of that sum?
    Question

    What is the rate percent and time needed, both of them being equal in value, for the simple interest on a certain sum to be 36 over 100 of that sum?

    A.

    Rate =5%, Time =5 years

    B.

    Rate =7%, Time =7 years

    C.

    Rate =6%, Time =6 years

    D.

    Rate =8%, Time =8 years

    Correct option is C

    Given:
    Simple Interest (SI) = 36/100 of Principal (P)
    Rate (R) = Time (T)
    Formula Used:
    SI = P×R×T100\frac{P × R × T}{100}​​
    Solution:
    Substitute the given values into the formula:
    36100×P=P×R×R100\frac{36}{100} × P = \frac{P × R × R}{100}​​
    36=R236 = R^2​​
    Take the square root of both sides:
    R = 6
    Since Rate and Time are numerically equal:
    Rate = 6% and Time = 6 years.
    Final Answer
    So the correct answer is (c)

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