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    The simple interest on a principal amount (in Rs. ) is Rs. 360 for a period of 4 years at the rate of 2% per annum. The principal amount (in Rs. ) is:
    Question

    The simple interest on a principal amount (in Rs. ) is Rs. 360 for a period of 4 years at the rate of 2% per annum. The principal amount (in Rs. ) is:

    A.

    4490

    B.

    4501

    C.

    4508

    D.

    4500

    Correct option is D

    Given:

    Simple Interest (SI) = Rs. 360
    Time = 2 years
    Rate = 4% per annum
    Formula Used:
    Simple Interest (SI)=P×R×T100\text{Simple Interest (SI)} = \frac{P \times R \times T}{100} \\\\​​
    Solution:524=P×5×2100524=10P100=>524=P10P=524×10=5240524 = \frac{P \times 5 \times 2}{100} \\\\524 = \frac{10P}{100} \\\\\Rightarrow 524 = \frac{P}{10} \\\\P = 524 \times 10 = 5240

    360=P×4×2100360=8P100=>360=4P5P=4500360 = \frac{P \times 4 \times 2}{100} \\\\360 = \frac{8P}{100} \\\\\Rightarrow 360= \frac{4P}{5} \\\\P = 4500

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