Some friends planned on a leisure trip where they had planned Rs 96 on eatables 4 of them did not co...........

Logical Reasoning(Master ) Arithmetical Reasoning

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

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Explanation:

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