Question

Kailash used to spend $85\%$ of his income. When his income increased by $36\%$ his expenses also increased by $40\%$ of his carlier expenses.How much percentage of his earning he save now ?

Answer 1

let, Kailash's income = x

Amount spend $=85\%$ of $x$

$=\frac{85}{100}\times x$

Amount saved $=x-\frac{85}{100}x$

$=x\left(\frac{15}{100}\right)$

New income after increase 36%

$=x+\frac{36}{100}x$

$=\frac{136}{100}\times x$

New amount spent $=\frac{85}{100}\times x+\frac{40}{100}\times (\frac{85}{100}\times x)$

$=\frac{85}{100}\times x+\frac{34x}{100}=\frac{119}{100}x$

New saving = income -amount spent

$=\frac{136}{100}\times x-\frac{119}{100}x$

$=\frac{17}{100}x=17\%$