# A total of rs 80000 is to be distributed among 200 persons as prizes. A prize is either of rs. 500 or rs. 100. Find the number of each prize

1
by Manesika

2014-09-09T18:42:51+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Let us say we have given prizes of Rs 500 to N persons and Rs 100 prizes to (200-N) persons. The total amount is,

Rs 80,000 = Rs 500 N + (200 - N) Rs 100
800 = 5 N + 200 - N = 4 N + 200

4 N = 600
N = 150

So the prizes of Rs 500 are given to 150 persons and the prizes of Rs 100 are given to 50 persons.

Thank you for your answer, but I didn't understand the second step of cutting the zeroes. So , can you kindly elaborate ?
80000 = 500 N + (200-N)100 => 800 * 100 = 5N * 100 + (200-N) 100 => divide by 100, we get 800 = 5N * 100/100 + (200-N)*100/100. It is same as striking of 100 from all terms or dividing by 100.