Multiple choice

Out of 36 students in a hostel, 19 students left the hostel. Due to this, the expenditure of the mess decreased by Rs. 48 per day, while the average expenditure per head increased by Rs. 5. What is the sum of original expenditure and the new expenditure of the mess?

  1. Rs. 456

  2. Rs. 471

  3. Rs. 493

  4. Rs. 496
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AI explanation

Let the original average expenditure per head be x. The original daily expenditure is 36x, and the new daily expenditure is 17 times the quantity (x + 5). The problem states the expenditure decreased by Rs. 48, leading to the equation 36x minus 17 times the quantity (x + 5) equals 48, which simplifies to 19x equals 133, meaning x is 7. The original expenditure was 36 times 7, which is Rs. 252, and the new expenditure was 17 times 12, which is Rs. 204. Their sum is 252 plus 204, resulting in Rs. 456.

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