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    Mohan borrowed an amount of Rs.18,000 and paid a simple interest of Rs.2,700 at 10% per annum. Find the duration for which he kept the borrowed amount
    Question

    Mohan borrowed an amount of Rs.18,000 and paid a simple interest of Rs.2,700 at 10% per annum. Find the duration for which he kept the borrowed amount. 

    A.

    3/2 years

    B.

    2/3 years

    C.

    3/20 years

    D.

    3 years

    Correct option is A

    Given:
    Principal, P = Rs.18000
    Simple Interest, SI = Rs. 2700
    Rate of Interest, R = 10 % per annum
    Formula Used:
    SI=P×R×T100SI = \frac{P \times R \times T}{100}​​
    Solution:
    Substitute the values in the formula;
    2700=18000×10×T100 T=2700×10018000×10 T=270000180000=32 year=1.5 years2700 = \frac{18000 \times 10 \times T}{100} \\ \ \\T = \frac{2700 \times 100}{18000 \times 10} \\ \ \\T = \frac{270000}{180000} = \frac{ 3}{2} \ \text{year} = 1.5 \text{ years}​​
    Thus, Mohan kept the borrowed amount for 32 year\frac{ 3}{2} \ \text{year} or  1.5 years.

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