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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 ?
8
12
16
24
Let the number of persons be 'x'.
96/(x - 4) - 96/x = 4
1/(x - 4) - 1/x = 4/96 [Dividing by 96 both sides]
1/(x - 4) - 1/x = 1/24
x2 - 4x - 96 = 0
(x - 12)(x + 8) = 0
x = 12
Hence x - 4 = 12 - 4 = 8
By: Deepak Dawra ProfileResourcesReport error
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