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

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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.

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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.