Question

a man spends 20% of his salary on house rent after spending 25% of the remainder he has rs 4800 left. What is his monthly salary .

Answer 1

QUESTION -

a man spends 20% of his salary on house rent after spending 25% of the remainder he has rs 4800 left. What is his monthly salary .

ANSWER -

$\bold\green{Monthly\:salary } = \bold{Rs.8000}$

SOLUTION -

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$\begin{gathered}\bf{Given}\begin{cases}\sf {Salary\:on\:house\:rent = 20\%}\\\sf{Spending\:on\:remainder = 25\%}\\\sf{Left = Rs.4800}\\\sf{Monthly\:salary=?}\end{cases}\end{gathered}$

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let monthly salary = x

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$\rule{300}{1}$

$\begin{gathered}\mapsto\sf Expenditure\: on \; house\; rent \\\\\mapsto\sf\dfrac{20}{100}x \end{gathered}$

$\rule{300}{1}$⠀

$\begin{gathered}\mapsto\sf Remainder \: amount = x - 20\%x \\\\\mapsto\sf x - 20\%x \\\\\mapsto\sf x - \dfrac{20}{100}x \\\\\mapsto\sf rs \: \dfrac{80}{100}x \end{gathered}$

$\rule{300}{1}$

$\begin{gathered}\mapsto\sf Expenditure\\\\\mapsto\sf rs\dfrac{25}{100} \times \dfrac{80}{100} x \end{gathered}$

$\rule{300}{1}$

$\begin{gathered}\mapsto\sf Left \;amount\\\\\mapsto\sf \frac{80}{100}x -\dfrac{25}{100} \times \dfrac{80}{100} x=4800\\\\\mapsto\sf \frac{8}{10} -\dfrac{2}{10}x=4800 \\\\\mapsto\sf 6x=4800\\\\\mapsto\sf x=\frac{4800}{6} \\\\\mapsto\sf x=rs \;8000 \end{gathered}$

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Answer 2

Yes please !

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