A college hostel mess has provisions for 25 days for 350 boys. At the end of 10 days, when some boys were shifted to another hostel, it was found that now the provisions will last for 21 more days. How many boys were shifted to another hhostel?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 100
Formula used:
Available provision = Number of days × Number of boys
Calculations:
Using equation (1),
Available provision = 25 × 350 = 8750 units
Remaining provision after 10 days = 8750 - 10 × 350 = 5250 units
Let x be the number of boys shifted to another hostel
⇒ (350 - x) × 21 = 5250
⇒ 350 - x = 250
⇒ x = 100