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    Question

    If Simple Interest is 12.5% more than the principal and

    number of years(n), rate(r) are numerically in the ratio 2 : 1, then find the values of n, r.
    A n = 20, r = 10% Correct Answer Incorrect Answer
    B n = 14; r = 7% Correct Answer Incorrect Answer
    C n = 12, r = 6% Correct Answer Incorrect Answer
    D n = 15; r = 7(1/2)% Correct Answer Incorrect Answer

    Solution

    Let principal =100 Then SI =100+12.5 =112.5 Given the ratio of time and rate =2:1 Time =2x and rate =x Now using formula of -SI =PRT/100 112.5 = (100×2x × x)/100 x2 =112.5 /2 =1125/20 x2 =225/4 x =15/2 =7.5 And time =2×7.5 =15years

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