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

  • question_answer
    Rs. 260200 is divided between Ram and Shyam so that the amount that Ram receives in 4 yr is the same as that Shyam receives in 6 yr. If the rerest is compounded annually at the rate of 4% per annum, then Ram's share is [SSC CGL Tier II, 2017]

    A) Rs. 125000

    B) Rs. 135200

    C) Rs. 152000

    D) Rs. 108200

    Correct Answer: B

    Solution :

    [b] Let amount received by Ram = Rs. x Then, amount received by Shyam \[=\text{ Rs}.\,(260200-x)\] According to the question, \[x={{\left( 1+\frac{4}{100} \right)}^{4}}\] \[\Rightarrow \]   \[x=(260200-x){{\left( 1+\frac{4}{100} \right)}^{6}}\] \[\Rightarrow \]   \[x=(260200-x){{\left( 1+\frac{1}{25} \right)}^{2}}\] \[\Rightarrow \]   \[x=(260200-x)\times {{\left( \frac{26}{25} \right)}^{2}}\] \[\Rightarrow \]   \[625x=260200\times 676-676x\] \[\Rightarrow \]   \[625x+676x=260200\times 676\] \[\Rightarrow \]   \[1301x=260200\times 676\] \[\Rightarrow \]   \[x=200\times 676\]\[\Rightarrow \]\[x=\text{Rs}.\,\,135200\]


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