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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

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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\%$

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