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    Arun borrowed a sum of Rs. 9,000 from Jayanthi at 10% rate of compound interest per annum, compounded annually. Find the total amount paid by Arun aft
    Question

    Arun borrowed a sum of Rs. 9,000 from Jayanthi at 10% rate of compound interest per annum, compounded annually. Find the total amount paid by Arun after 2 years to clear all dues.

    A.

    Rs. 10,089

    B.

    Rs. 10,890

    C.

    Rs. 10,098

    D.

    Rs. 10,980

    Correct option is B

    Given :

    P = 9,000 (Principal amount borrowed),

    r = 10% (rate if Interest),

    t = 2 year (Time Period)

    Formula used: 

    A = P ( 1 + r100\frac{r}{100} ) t 

    A = principle  + interest

    P = Principle

    Solution: 

    ​​A=9000(1+10100)2A = 9000 ( 1 + \frac{10}{100})^2 

    A=9000(1+0.1)2A = 9000 (1 + 0.1)^2 

    A=9000×(1.1)2A = 9000 \times (1.1)^2 

    A=9000×1.21A = 9000 \times 1.21 

    A=10,890A = 10,890 

    The total amount Arun has to pay after 2 years is Rs. 10,890.

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