Question

From the salary of an officer, 10% is deducted as house rent, 20% of the rest he spends on conveyance, 20% of the rest he pays as income tax and 10% of the balance he spends on clothes. Then, he is left with Rs. 15,552. Find his total salary.

• A. Rs. 25,000
• B. Rs. 30,000
• C. Rs. 35,000
• D. Rs. 40,000

Answer 1

The correct option is B Rs. 30,000

Let the total salary $=100Rs$

$10\%$ spend of house rent

so remaining= $100-10=90Rs.$

$20\%$ of $90$ spend on conveyance=$\frac{20}{100}\times 90=18Rs.$

so remaining salary = $90-18=72Rs.$

$20\%$ of $72$ pays as income tax=$\frac{20}{100}\times 72=\frac{72}{5}Rs.$

Remaining salary =$72-\frac{72}{5}=\frac{288}{5}$

$10\%$ of $\frac{288}{5}$ spend on clothes=$\frac{10}{100}\times \frac{288}{5}=\frac{288}{50}$

Remaining salary = $\frac{288}{5}-\frac{288}{50}=\frac{2592}{50}$

$\because \frac{2592}{50}Rs$ is left then salary = $100Rs.$

$\therefore 15552Rs.$ is left then total salary=$\frac{100\times 50}{2592}\times 15552=30000Rs$