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Question 53
The respective ratio between the monthly salary of Om and that of Pihu is 7 : 9. Om and Pihu, both save 20% and 40% of their monthly salary respectively. Om invest $$\frac{1}{2}$$ of his savings in PPF and Pihu invests $$\frac{7}{9}$$ th of his savings in PPF. If Om and Pihu together saved Rs.17,500/in PPF, what is Pihu's monthly salary?
Solution
Let the monthly salary of Om be 7x
Monthly salary of Pihu = 9x
Savings of Om = $$7x \times \frac{20}{100} = \frac{7x}{5}$$
Savings of Pihu = $$9x \times \frac{40}{100} = \frac{18x}{5}$$
Given that,
$$\frac{1}{2}\times \frac{7x}{5} + \frac{7}{9}\times \frac{18x}{5} = 17500$$
$$x = 5000$$
Pihu's monthly salary $$= 9x = $$Rs. 45000
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