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Ravi's salary before he got an increment was 20% of total income of of his family.His increment was one fourth of his salary after increment.What percentage of total income of his family is his new salary
asked in Quantitative Aptitude by (274 points) 6 26 | 164 views

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  • Let total family income be                          :         $x$
  • Ravi`s increment be                                     :         $y$
  • Then Ravi`s income before increment    :        $0.2x$

    $Increment \ value  : = $ $\frac{1}{4} \times (0.2x+y)=y \\  y= \frac{0.2x}{3} $

            $New \  salary = \frac{0.2x}{3}+0.2x = \frac{0.8x}{3}$


  New salary in terms of family income = $\LARGE \frac{\frac{0.8x}{3}}{x+\frac{0.2x}{3}} $$\times 100=25\%$


Note : Ravi is also part of family therefore increment in Ravi`s salary will also increase his family income.
 

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