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    Mahesh borrowed a sum of ₹14,000 at a certain rate of simple interest for 4 years. If he paid an interest of ₹3,500 at the end of the period at x
    Question

    Mahesh borrowed a sum of ₹14,000 at a certain rate of simple interest for 4 years. If he paid an interest of ₹3,500 at the end of the period at x% per annum rate of interest, the value of x is:​

    A.

    8.25

    B.

    6.25

    C.

    5.25

    D.

    7.25

    Correct option is B

    Given:

    Principal (P) = ₹14,000;

    Time (T) = 4 years;

    Simple Interest (SI) = ₹3,500;

    Rate of interest = x% per annum.

    Formula Used:

    SI = P×R×T100 \frac{P \times R \times T}{100}​​

    Solution: 

    Applying the formula;

    3500 = 14000×x×4100\frac{14000 \times x \times 4}{100}​​

    3500 = 56000x100 \frac{56000x}{100}​​

    3500 = 560x

    x = 3500560\frac{3500}{560}​ = 6.25

    Thus, rate of interest is 6.25%

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