Question

A man spends \(\frac{2}{5}\) of his salary on house rent, \(\frac{3}{10}\) of his salary on food and \(\frac{1}{8}\) of his salary on conveyance. If he has Rs. 1400 left with him, find his expenditure on food.

• A. 1000
• B. 2400
• C. 1500
• D. 2000
• E.

Hint:

Always check for simplification and verification by recalculating based on the total to ensure accuracy.

Answer 1

The Correct Option is B

Step 1: Assume the total salary is \( x \).
Step 2: The expenses are as follows: - House rent: \( \frac{2}{5}x \) - Food: \( \frac{3}{10}x \) - Conveyance: \( \frac{1}{8}x \) The total expenditure is: \[ \frac{2}{5}x + \frac{3}{10}x + \frac{1}{8}x \] Step 3: Finding the common denominator for the fractions: \[ \frac{16}{40}x + \frac{12}{40}x + \frac{5}{40}x = \frac{33}{40}x \] Step 4: The remaining amount is calculated as follows: \[ x - \frac{33}{40}x = \frac{7}{40}x \] Given that this remaining amount is Rs. 1400: \[ \frac{7}{40}x = 1400 \] \[ x = 1400 \times \frac{40}{7} = 8000 \] Step 5: The expenditure on food is calculated as: \[ \frac{3}{10}x = \frac{3}{10} \times 8000 = 2400 \] Thus, the expenditure on food is Rs. 2400.