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 may boys were shifted to another hostel?

Question

Question

This question was previously asked in

SSC CGL 2021 Tier-I (Held On : 20 April 2022 Shift 1)

Answer 1

Given:

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.

Concept used:

Available provisions = Number of days × Number of boys

Calculation:

Available provisions = 25 × 350 = 8750 units

After 10 days the remaining provision = 8750 - 10 × 350

⇒ 5250 units

Let N number of boys shifted to another hostel.

According to the question,

(350 - N) × 21 = 5250

⇒ 350 - N = 5250/21

⇒ 350 - N = 250

⇒ N = 350 - 250

⇒ N = 100

∴ 100 boys were shifted to another hostel.