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    A sum of Rs. 7000 is invested in a scheme of simple interest. The rate of interest in this scheme is 20 percent per annum. If Rs. 1750 interest is obt
    Question

    A sum of Rs. 7000 is invested in a scheme of simple interest. The rate of interest in this scheme is 20 percent per annum. If Rs. 1750 interest is obtained, then for how many months is the sum invested?

    A.

    21 months

    B.

    24 months

    C.

    15 months

    D.

    18 months

    Correct option is C

    Given:
    Principal = Rs. 7000
    Simple Interest obtained = Rs. 1750
    Rate of interest = 20% per annum
    Formula Used:
    Simple Interest (SI) = Principal×Rate×Time100\frac{\text{Principal} \times \text{Rate} \times \text{Time}}{100}
    Solution:
    Time = 1750×1007000×20=1.25years\frac{1750 \times 100} {7000 \times 20} = 1.25 \text{years}​​
    Convert to months:
    Months = 1.25 × \times​ 12 = 15 months
    Thus, the sum is invested for 15 months.

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