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    The simple interest on a principal amount (in Rs. ) is Rs. 531 for a period of 5 years at the rate of 9% per annum. The principal amount (in Rs. ) is:
    Question

    The simple interest on a principal amount (in Rs. ) is Rs. 531 for a period of 5 years at the rate of 9% per annum. The principal amount (in Rs. ) is:

    A.

    1171

    B.

    1186

    C.

    1179

    D.

    1180

    Correct option is D

    Given:

    Simple Interest (SI) = Rs. 531
    Time (T) = 5 years
    Rate (R) = 9% per annum
    Required: Principal (P)
    Formula Used:
    Simple Interest (SI)=P×R×T100\text{Simple Interest (SI)} = \frac{P \times R \times T}{100} \\
    Solution:

    531=P×9×5100 531=45P100 P=531×10045 P=5310045=1180531 = \frac{P \times 9 \times 5}{100} \\\ \\531= \frac{45P}{100} \\\ \\P = \frac{531 \times 100}{45} \\\ \\P = \frac{53100}{45} = 1180

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