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The respective ratio between the monthly salaries of Rene and Som is 5 : 3. Out of her monthly salary Rene gives $${1 \over 6}$$th as rent,…

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The respective ratio between the monthly salaries of Rene and Som is 5 : 3. Out of her monthly salary Rene gives $${1 \over 6}$$th as rent, $${1 \over 5}$$th to her mother, 30% as her education loan and keeps 25% aside for miscellaneous expenditure. Remaining Rs. 5000 she keeps as savings. What is Som?s monthly salary?
  • ARs. 21000
  • BRs. 24000
  • CRs. 27000
  • DRs. 36000
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Solution
Let monthly salary of Rene = $Rs. 1500x$
=> Monthly salary of Som = $Rs. 900x$
Amount given as rent by Rene = $\frac{1}{6} \times 1500x = 250x$

Amount given by Rene to her mother = $\frac{1}{5} \times 1500x = 300x$
Amount for loan = $\frac{30}{100} \times 1500x = 450x$

Amount kept aside = $\frac{25}{100} \times 1500x = 375x$
=> Amount left = $1500x - (250x + 300x + 450x + 375x) = 5000$
=> $1500x - 1375x = 125x = 5000$
=> $x = \frac{5000}{125} = 40$
$\therefore$ Som's salary = $900 \times 40 = Rs. 36,000$