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Question 126

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

Solution

Let initially, there were x friends. So each one had to contribute Rs. 96/x

Now, 4 friends didn't show up. so, the remaining x - 4 friends had to pay Rs. 4 extra.

So, the equation will be:$$\dfrac{96}{x-4}-\dfrac{96}{x}=4$$

Now, out of all the options, only x = 12 satisfies the equation. Hence, the number of friends who attended the picnic are 12 - 4 = 8

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