Math, asked by nitutewari231, 7 months ago

imran gives 1 ℅ of his monthly income to his sons as pocket money . the elder son gets 80% of the total amount given and he spends 80% of his share . if he saves ₹60 per month determine imrans monthly income

Answers

Answered by sita7oct1984
1

Answer:

answer:

Let total income be x

\begin{gathered} 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\end{gathered}

pocketmoney

100

1

x

eldersonshare

100

1

100

80

=

125

1

x=80%

pecentage of money that elder son save=100%−80%

=20%

money saved byson=

125

1

100

20

=

625

1

x

according to question

625

1

x=60

x=60×625

x=37500

Imran's monthly income is ₹37500

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