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

  1. 16
  2. 8
  3. 12
  4. 24
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1 Answer(s)

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
X2 – 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.

Anurag Mishra Professor Answered on 4th June 2015.
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