Question

There were 35 students in a hostel. Due to the admission of 7 new students, the expenses of the mess were increased by ₹ 42 per day while the average expenditure per head diminished by ₹ 1. What was the original expenditure of the mess?

Options

• ₹ 450

• ₹ 320

• ₹ 550

• ₹ 420

Answer 1

₹ 420
Explanation:
Let the original average expenditure be ₹ x.
Then, 42(x-1) - 35x = 42
⇒                        7x = 84
⇒                          x = l2
Therefore, original expenditure
= ₹(35 x 12) = ₹ 420