There are 35 students in a hostel. If the number of students increased by 7, the expense of mess increased by ₹42 per day, while the average expenditure per head decreased by 1. Find the original expenditure of the mess.
Answer & explanation
Correct answer: option 3
Let original expense per head per day = x
Total number of students = 35
Therefore, original expense per day = 35x
Now, after adding 7 new students;
Total number of students = 42
ATQ,
⇒ 42 (x - 1) = 35x + 42
⇒ 42x - 42 = 35x + 42
⇒ 7x = 84
⇒ x = 12
Original expenditure of mess = 35x = 35 x 12 = 420