Question

A man who spends 72% of his income is
able to save ₹6300 per month. Find his (i) monthly
income and (I)monthly escpenses.

Answer 1

$\fbox \purple {Answer:-}$

$(i) \: Let \: his \: monthly \: income \: be \: ₹ \: x. \\ Percentage \: of \: income \: spent \: = \: 72\%. \\ Percentage \: of \: income \: saved \: = \: (100 \: - \: 72)\% \: = \: 28\%. \\ ∴ \: 28\% \: of \: ₹ \: x \: = \: ₹ \: 6300 \: ⇒ \: x \: × \frac{28}{100} \: = \: 6300 \\ ⇒ \: x \: = \: 6300 \times \frac{100}{28} \: = \: 22500. \\ Hence, \: the \: man's \: monthly \: income \: is \: ₹ \: 22500.$

$(ii) \: Monthly \: expenses \: = \: 72\% \: of \: ₹ \: 22500 \\ = \: ₹ \: 22500 \times \frac{72}{100} \: = \: ₹ \: 16200. \\ Hence, \: the \: man's \: monthly \: expenses \: are \: ₹ \: 16200.$

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