# The pupils of tenth standard of a school had arranged for a picnic at a total cost of Rs.300, which had to be shared equally by them.since 5 of them failed to join the party,each of the other had to pay Rs.2 more.Find the strength of the class.

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by deeenbe

## Answers

2015-03-23T00:20:02+05:30

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Let the strength of the class be  N.      Let the cost per person be  Rs P.
Total cost = Rs  N * p = Rs 300.

As 5 of the students did not join the party,  the total cost
Rs 300 = (N-5) * (p+2)
= N p - 5 p + 2 N - 10
= 300 - 5 p + 2 N - 10
=>  5 p = 2 N - 10
=>  5 * 300/N = 2 N - 10
=>   N² - 5 N - 750 =  0
(N - 30) (N + 25) = 0
N = 30  as  N is positive.

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