the organiser of an essay competition decide that a winner in the competition gets a prize of rs.100 and a participant who does not win gets a prize of rs.25 .the total prize money distributed is rs.3000.Find the number of winners if total number of participants is 63.
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The organizers of an essay competition decide that a winner gets a prize of rs.100 and who doesn't wins get a prize of rs.25 the total prize money distributed is 3000 find the no. Of winners if no. Of participants is 63
Let x be the number of winners.
✿Then the number of participants who do not win is given as (63 – x)
✿The prize money given to x winners = Rs ( 100x)
The prize money given to (63 – x) participants is = Rs 25(63 – x)
✿According to the given data, the total prize money distributed = Rs 3000
Therefore, 100x + 25(63 – x) = 3000
4x + (63 – x) = 120
3x + 63 = 120
x = 19
✿Therefore, the number of winners is 19.
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