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    Gopal invests a sum of Rs. 5400 and Akshay invests a sum of Rs. 9400 at the same rate of simple interest per annum. If, at the end of 6 years, Akshay
    Question

    Gopal invests a sum of Rs. 5400 and Akshay invests a sum of Rs. 9400 at the same rate of simple interest per annum. If, at the end of 6 years, Akshay gets Rs. 720 more interest than Gopal, then find the rate of interest per annum (in percentage).

    A.

    5

    B.

    2

    C.

    3

    D.

    4

    Correct option is C

    Given:

    Principal invested by Gopal = Rs. 5400
    Principal invested by Akshay = Rs. 9400
    Time = 6 years
    Difference in interest = Rs. 720
    Rate of interest is the same for both
    Formula Used:
    Simple Interest (SI) = (P × R × T) / 100
    Solution:
    Difference in principal= 9400 − 5400= 4000
    According to the question:
    4000×R×6100=720 24000R100=720 240R=720 R=3% \frac{4000 \times R \times 6}{100} = 720 \\\ \\\frac{24000R}{100} = 720\\\ \\240R = 720\\\ \\R = 3\%\\\ \\

    Rate of interest = 3% per annum


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