Peter could save 10 % of his income. But two | vedclass

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Question

(B) Let the initial income of Peter be $I = 100$.Initial savings $= 10 \%$ of $100 = 10$.Initial expenditure $= 100 - 10 = 90$.New income after $20 \%

Vedclass · Accepted Answer

$22 \frac{2}{9} \%$

Vedclass · Answer

(B) Let the initial income of Peter be $I = 100$.Initial savings $= 10 \%$ of $100 = 10$.Initial expenditure $= 100 - 10 = 90$.New income after $20 \%$ increase $= 100 + 20 = 120$.New savings $= 10$ (same as before).New expenditure $= 120 - 10 = 110$.Increase in expenditure $= 110 - 90 = 20$.Percentage increase in expenditure $= (\frac{20}{90}) 	imes 100 = \frac{200}{9} = 22 \frac{2}{9} \%$.

Peter could save $10 \%$ of his income. But two years later,when his income increased by $20 \%$,he could save the same amount as before. By what percentage has his expenditure increased?

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