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    Aman invests Rs.5,000 for three years at a certain rate of interest, compounded annually. At the end of the first year, it amounts to Rs.5,600. Calcul
    Question

    Aman invests Rs.5,000 for three years at a certain rate of interest, compounded annually. At the end of the first year, it amounts to Rs.5,600. Calculate the rate of interest per annum.

    A.

    13%

    B.

    14%

    C.

    12%

    D.

    11%

    Correct option is C

    Given:    

    Principal (P): Rs.5,000
    Amount at the end of the 1st year (A1): Rs.5,600
    Interest earned in the first year = Rs.5,600 - Rs.5,000 = Rs.600
    Formula Used:
    Simple interest formula: SI=P×R×T100SI = \frac{P\times R \times T}{100}   ​

    Solution:
    I = Interest earned = Rs.600
    P = Principal amount (initial investment) = Rs.5,000
    r = Annual interest rate (in decimal form)
    t = Time period in years = 1   

    SI=P×R×T100SI = \frac{P\times R \times T}{100} 

    600 = 5000×R×1100 \frac{5000\times R \times 1}{100} 

    R = 12% 

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