A man spends $80$ % of his income in expenditure, with the increase in the cost of living his expenditure increases by $37 \frac{1}{2}$ and his income increases by $16 \frac{2}{3}$ , then the present percent saving is

1 \frac{2}{3}

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7 \frac{6}{5}

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5 \frac{5}{7}

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9 \frac{3}{11}

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Solution

The correct option is C $5 \frac{5}{7}$
If the income was Rs 100 then the expenditure was Rs 80
Income increase by $16 \frac{2}{3}$ % $\Rightarrow$ Income becomes Rs $116 \frac{2}{3}$
Expenditure increases by $37 \frac{1}{2}$ % $\Rightarrow$ Expenditure= $80 + 37 \frac{1}{2}$ % of 80=80+ $\frac{37.5}{100} \times 80$ =80+30=Rs 110
$∴$ Present saving =Rs $116 \frac{2}{3}$ -Rs $110$ = $6 \frac{2}{3}$
Present per cent saving = $\frac{6 \frac{2}{3}}{116 \frac{2}{3}} \times 100 = \frac{\frac{20}{3}}{\frac{350}{3}} \times 100 = \frac{2000}{350} = 5 \frac{5}{7}$ %

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A man spends 80% of his income in expenditure, with the increase in the cost of living his expenditure increases by 3712 and his income increases by 1623, then the present percent saving is

A man spends $80$ % of his income in expenditure, with the increase in the cost of living his expenditure increases by $37 \frac{1}{2}$ and his income increases by $16 \frac{2}{3}$ , then the present percent saving is