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
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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
x×
100
80
=
125
1
x=80%
pecentage of money that elder son save=100%−80%
=20%
money saved byson=
125
1
x×
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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