Question:

A person spends \( \frac{1}{3} \) of his income on food, \( \frac{1}{4} \) on house rent, and the remaining Rs. 630 on other items. The house rent is:

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Always solve step-by-step; check calculation to match the correct option.
Updated On: Aug 11, 2025
  • Rs. 504
  • Rs. 1512
  • Rs. 378
  • None of these
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The Correct Option is A

Solution and Explanation

Let the total income be \( x \). Food expense = \( \frac{x}{3} \) House rent = \( \frac{x}{4} \) Remaining = \( 630 \) We have: \[ x - \frac{x}{3} - \frac{x}{4} = 630 \] LCM of 3 and 4 = 12: \[ x - \frac{4x}{12} - \frac{3x}{12} = 630 \] \[ x - \frac{7x}{12} = 630 \] \[ \frac{5x}{12} = 630 \Rightarrow x = \frac{630 \times 12}{5} = 1512 \] House rent = \( \frac{1512}{4} = 378 \) — wait, this matches option (c), so the correct answer is (c) Rs. 378.
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