Question

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

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

Hint:

Find what percentage of the salary is left as savings, then use the given rupee saving to find the value of 1% of salary.

Answer 1

The Correct Option is A

Step 1: Set up the salary in parts.
Let Sonali's monthly salary be Rs. \(100x\), so every percentage turns into a clean multiple of \(x\).

Step 2: Write out where the money goes.
Insurance takes \(15x\) and shopping plus household expenses take \(55x\). So the amount saved is \(100x - 15x - 55x = 30x\).

Step 3: Use the given saving to solve for x.
We are told the saving equals Rs. 12,750, so \(30x = 12750\), which gives \(x = 425\).

Final Answer:
Monthly income \( = 100x = 100 \times 425 = 42{,}500 \). \[ \boxed{\text{Rs. } 42{,}500} \]