Question

Sonali invests $15\%$ of her monthly salary in insurance policies. She spends $55\%$ of her monthly salary on shopping and household expenses. She saves the remaining amount of ₹ 12,750. What is Sonali’s monthly income?

• A. ₹ 42,500
• B. ₹ 38,800
• C. ₹ 40,000
• D. ₹ 35,500

Answer 1

The correct option is A

₹ 42,500

Let Sonali’s monthly income be ₹ $x$.
Then,
$15\%ofx+55\%ofx+12750=x\Rightarrow \frac{15}{100}x+\frac{55}{100}x+12750=x\Rightarrow \frac{70}{100}x+12750=x\Rightarrow 12750=(1-\frac{70}{100})x\Rightarrow 12750=\frac{30}{100}x\Rightarrow x=\frac{12750\times 10}{3}\therefore x=₹42,500$