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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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.