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# The organisers of an essay competition decide that a winner in the competition gets a prize of ₹100 and a participant who does not win gets a prize of ₹25. The total prize money distributed is ₹3,000. Find the number of winners, if the total number of participants is 63.

Harshit Singh
one year ago
Dear Student

Let the numbers of winner be x.
Then, the number of participants who didn't win = 63 - x Total money given to the winner = x × 100 = 100x
Total money given to participant who didn't win = 25×(63-x) According to the question,
100x + 25×(63-x) = 3,000
⇒100x+1575-25x=3,000
⇒75x=3,000-1575
⇒75x=1425
⇒x = 1425/75
⇒x=19
Therefore, the numbers of winners are 19.

Thanks