Question

Imran gives 1% of his monthly income to his two sons as pocket money. The elder son gets 80% of the total amount given and he spends 80% of his share. If he saves Rs. 60 per month, determine Imran's monthly income.

Answer 1

answer:

Let total income be x

$pocket \: money \\ \frac{1}{100} x \\ \\ elder \: son \: share \\ \frac{1}{100} x \times \frac{80}{100} = \frac{1}{125} x \\ \\ money \: elder \: son \: spend = 80\% \\ \\ pecentage \: of \: money \: that \: elder \: son \: save = 100\% - 80\% \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 20\% \\ money \: saved \: by \: son = \frac{1}{125} x \times \frac{20}{100} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{625} x \\ \\ according \: to \: question \\ \\ \frac{1}{625} x = 60 \\ x = 60 \times 625 \\ x = 37500$

Imran's monthly income is ₹37500

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