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Railways Quantitative Aptitude Percentage Sample Paper Percentage Sample Test Paper-8

  • question_answer
    A person saves 20% of his income every year. If his yearly increase in income is 10%, then his savings increases every year by

    A)  10%                

    B)  6%

    C)  5%                  

    D)  4%

    Correct Answer: A

    Solution :

    [a] Let the original income per year = Rs. x \[\therefore \] Savings = 20% of \[x=\frac{20}{100}x\] After increase his new income \[=x+\frac{10}{100}x=\frac{110}{100}x\] New saving = 20% of \[\frac{110}{100}x=\frac{20}{100}\times \frac{110}{100}x=\frac{22}{100}x\] Increase in savings \[=\frac{22}{100}x-\frac{20}{100}x=\frac{2}{100}x\] \[\therefore \] % increase \[=\frac{\frac{2}{100}x}{\frac{20}{100}x}\times 100%=10%\]


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