Rs 6500 were divided equally among a certain no: of persons. Had there been 15 more persons each would have got rs 30 less. Find the original no: of persons

thank you ...waiting for your answer..

Question

Rs 6500 were divided equally among a certain no: of persons Had
there been 15 more persons each would have got rs 30 less Find the
original no: of persons
thank you waiting for your answer

Gursheen kaur. · Accepted Answer

Let the original number of persons be n âˆ´ Amount received by each person = $\frac{Rs 6500}{n}$ If there were 15 more person, then Number of persons = n+ 15 New amount received by each person $= \frac{Rs 6500}{n + 15}$ âˆ´According to the question, Amount received by each person â€“ New amount received by each person = Rs 30 $\Rightarrow \frac{6500}{n} - \frac{6500}{n + 15} = 30 \Rightarrow \frac{6500 n + 97500 - 6500 n}{n (n + 15)} = 30 \Rightarrow \frac{97500}{n (n + 15)} = 30 \Rightarrow n^{2} + 15 n = 3250 \Rightarrow n^{2} + 15 n - 3250 = 0 \Rightarrow n^{2} + 65 n - 50 n - 3250 \Rightarrow n (n + 65) - 50 (n + 65) = 0 \Rightarrow (n + 65) (n - 50) = 0 E i t h e r n + 65 = 0 or n - 50 = 0 \Rightarrow n = - 65 o r \Rightarrow n = 50 \Rightarrow n = 50 (∵ n cannot be negative)$ Thus, the original number of persons is 50

Rs 6500 were divided equally among a certain no: of persons. Had there been 15 more persons each would have got rs 30 less. Find the original no: of persons thank you ...waiting for your answer..

Rs 6500 were divided equally among a certain no: of persons. Had there been 15 more persons each would have got rs 30 less. Find the original no: of persons

thank you ...waiting for your answer..