Question

Out of her total income, Mrs. Dubey spends 20% on house rent and 70% of the rest on household expenditure. If she saves Rs. 1,800, then her total income is:

• A. Rs. 7,200
• B. Rs. 7,300
• C. Rs. 7,400
• D. Rs. 7,500

Hint:

Break down percentage problems into sequential steps: Find remaining income after deductions, then use given conditions to solve for the total.

Answer 1

The Correct Option is D

Step 1: Define the total income - Let total income be \( x \). - House rent = \( 20% \) of \( x \): \[ \frac{20}{100} \times x = 0.2x \] - Remaining income after rent: \[ x - 0.2x = 0.8x \] Step 2: Calculate household expenditure - Household expenditure = \( 70% \) of remaining income \[ \frac{70}{100} \times 0.8x = 0.56x \] - Remaining savings: \[ 0.8x - 0.56x = 0.24x \] Step 3: Solve for total income - Given savings = Rs. 1,800 \[ 0.24x = 1800 \] \[ x = \frac{1800}{0.24} = 7,500 \]