Some friends planned on a leisure trip where they had planned Rs.96 on eatables. 4 of them did not come. So the rest of them had to pay Rs. 4 each extra. The number of people who turned up on the trip was

Question

Some friends planned on a leisure trip where they had planned Rs.96 on eatables. 4 of them did not come. So the rest of them had to pay Rs. 4 each extra. The number of people who turned up on the trip was

A. 24

B. 16

C. 12

D. 8

Answer: D

Solution:

Let the number of persons be x. Then

(96 / x – 4)- (96/x) = 4

⇔ (1 / x – 4) – 1 / x = 4 / 96

⇔ x – ( x – 4 ) / x ( x – 4 ) = 1 / 24

⇔ x2 – 4x – 96 = 0

⇔ ( x – 12) (x + 8) = 0

⇔ x = 12

So, required number = x – 4 = 8