# The Number of Those Who Attended the Picnic was

A number of friends decided to go on a picnic and planned to spend Rs. 96 on eatables. Four of them , however, did not turn up. As a consequence, the remaining ones had to contribute Rs. 4 each extra. The number of those who attended the picnic was

- 16
- 8
- 12
- 24

**Answer: (2) 8
Explanation:-**

Let the number of persons be X.

According to the question,

96/(X – 4) – 96/X = 4

1/(X – 4) – 1/X = 4/96

{X – (X – 4)}/X(X – 4) = 1/24

X^{2} – 4X – 96 = 0

(X – 12)(X + 8) = 0

X – 12 = 0

X = 12

Required number = X – 4

= 12 – 4 = 8

Hence, the answer is 8.