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SSC Quantitative Aptitude Simple Interest Question Bank Simple and Compound Interest (II)

  • question_answer
    A person has left an amount of Rs. 120000 to be divided between his two sons ages 14 yr and 12 yr such that they get equal amounts when each attains 18 yr of age. If the amount gets a simple interest of 5% per annum, the younger son's share at per cent is

    A) Rs. 48800

    B) Rs. 57600

    C) Rs. 62400

    D) Rs. 84400

    Correct Answer: B

    Solution :

    [b] Let the share of elder arid younger sons be Rs. x and Rs. \[(120000-x),\] respectively. Amount got by elder son = Amount got by younger son \[x+\frac{x\times 5\times 4}{100}=(120000-x)+\frac{(120000-x)\times 5\times 6}{100}\]\[\Rightarrow \]            \[x+\frac{x}{5}=(120000-x)+\frac{(120000-x)\times 3}{10}\] \[\Rightarrow \] \[\frac{11}{5}x\times 10=120000\times 10+360000-3x\] \[\Rightarrow \] \[22x=1200000+360000-3x\] \[\Rightarrow \] \[25x=1560000\] \[\Rightarrow \] \[x=62400\] Thus, younger son's share \[=120000-62400=Rs.\,\,57600\]


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