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    Question

    Some amount out of Rs. 12000 was lent out at 10% per

    annum and the rest amount @ 16% per annum and thus in 5 years the total interest from both the amount collected was Rs. 7200. What is the amount which was lent out at 10% per annum?
    A Rs.4000 Correct Answer Incorrect Answer
    B Rs.9000 Correct Answer Incorrect Answer
    C Rs.8000 Correct Answer Incorrect Answer
    D Rs.5000 Correct Answer Incorrect Answer

    Solution

    let x be the amount at 10% p.a. So (12000 - x) will be invested on 16% p.a. So (x├Ч10├Ч5)/100+((12000-x)├Ч16├Ч5)/100 = 7200 Or 50x + 960000 тАУ 80 x┬а = 720000 Or 30x = 240000 so x┬а = 240000/30 = 8000┬а Alternative method Overall rate of interest = (12000├ЧR├Ч5)/100 = 7200 R = 12% So by allegation, Money lent @ 10% = 2/3 ├Ч 12000 = Rs.8000

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