Manmohan spends frac{1}{5} part of his money | vedclass

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Question

(D) Let the total monthly income of Manmohan be $x$.Step $1$: Pocket money spent is $\frac{1}{5}x$.Step $2$: The remainder after pocket money is $x -

Vedclass · Accepted Answer

$300$

Vedclass · Answer

(D) Let the total monthly income of Manmohan be $x$.Step $1$: Pocket money spent is $\frac{1}{5}x$.Step $2$: The remainder after pocket money is $x - \frac{1}{5}x = \frac{4}{5}x$.Step $3$: He spends $\frac{4}{5}$ of the remainder on other affairs,so other expenses = $\frac{4}{5} 	imes \frac{4}{5}x = \frac{16}{25}x$.Step $4$: The final saving is the remainder minus other expenses: $\frac{4}{5}x - \frac{16}{25}x = \frac{20x - 16x}{25} = \frac{4}{25}x$.Step $5$: Given that the saving is $Rs.\, 48$,we have $\frac{4}{25}x = 48$.Step $6$: Solving for $x$: $x = 48 	imes \frac{25}{4} = 12 	imes 25 = 300$.Therefore,his monthly income is $Rs.\, 300$.

Manmohan spends $\frac{1}{5}$ part of his money as pocket money and $\frac{4}{5}$ of the remainder in other affairs. If he is left with $Rs.\, 48$ per month,what is his monthly income? (in $Rs.$)

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