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    Bharat borrowed a sum of Rs.10,000 at a certain rate of simple interest for 2 years. If he paid an interest of Rs.2,000 at the end of the period, then
    Question

    Bharat borrowed a sum of Rs.10,000 at a certain rate of simple interest for 2 years. If he paid an interest of Rs.2,000 at the end of the period, then find the rate of interest per annum.

    A.

    15%

    B.

    25%

    C.

    20%

    D.

    10%

    Correct option is D

    Given:

    Simple Interest(SI) = Rs. 2000  

    Principle(P) = Rs. 10000 

    Time(t) = 2 years

    Formula used: 

    SI = P×r×t100\frac{P \times r \times t } {100}

    SI = Simple Interest
    P = Principal amount 
    r = Rate of interest per annum 
    = Time in years

    Solution:  

    Substituting the values in the formula;

    2000=10000×r×21002000 = \frac{10000 \times r \times 2}{100} ​

    2000 =  20000×r100\frac{20000\times r}{100}

    2000 = 200 ×\times r ​

    r =    2000200\frac{2000}{200} =  10 %

    Thus, the Rate of Interest (r) = 10% per annum. 

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