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There were 35 students in a hostel. If the number of students be increased by 7, the expenditure on food increases by 42 per day while the average expenditure of students is reduced by 1. What was the initial expenditure (in Rs.) on food per day?

There were 35 students in a hostel. If the number of students be increased by 7, the expenditure on food increases by 42 per day while the average expenditure of students is reduced by 1. What was the initial expenditure (in Rs.) on food per day? Correct Answer 420

Given:

Total number of students in the hostel were = 35

Formula:

Average = Sum of all observations/Total number of all observation

Calculation:

Let the average expenditure be Rs. x

According to the question

35x + 42 = 42 (x – 1)

⇒ 35x + 42 = 42x – 42

⇒ 42x – 35x = 42 + 42

⇒ 7x = 84

⇒ x = 84/7

⇒ x = 12

∴ Initial expenditure was = 12 × 35 = Rs. 420 

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