Multiple Choice Questions on Rs 650 was divided among 3 children in the ratio 2 4 7 Had it been divided in the ratio 1 2 1 4 1 7 ........... for ACIO - Intelligence Bureau Preparation

Ratio, Proportion

Quantitative Aptitude (IB)

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Indian Economy - Understanding the basics of Indian economic system

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    Rs 650 was divided among 3 children in the ratio 2 : 4 : 7. Had it been divided in the ratio 1/2 : 1/4 : 1/7, who would have gained the most and by how much?

    C, Rs 246

    Incorrect Answer

    C, Rs 264

    Incorrect Answer

    A, Rs 246

    Incorrect Answer

    A, Rs 264

    Correct Answer
    Explanation:

    New ratio = 1/2 : 1/4 : 1/7 = 14 : 7 : 4
    So both ratio suggests that C has not gained any money, rather he has lose the money.
    For both ratio find the shares of A and B
    With ratio 2 : 4 : 7, A gets = [2/(2+4+7)] * 650 = 100, B gets = [4/(2+4+7)] * 650 = 200
    With ratio 14 : 7 : 4, A gets = [14/(14+7+4)] * 650 = 364, B gets = [7/(14+7+4)] * 650 = 182
    B has also lose the money, A gain the money and = 364 – 100 = 264


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