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?

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 = $$900 \times 40 = Rs. 36,000$$