There were 35 students in a hostel. If the number of students is increased by 7

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

Options:

A . Rs.432

B . Rs.442

C . Rs.400

D . Rs.420

Answer: Option D
Answer: (d)Suppose the initial expenditure per day = Rs. x ⇒ $x/35$ - ${x+42}/42$ = 1 ⇒ ${6x-5x-210}/210 = 1$ ⇒ x = 210 + 210 = Rs. 420

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