The organizers 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.
Let the number of winners be x
and, the number of runner-ups (does not win) be (63−x).
Each Winner will get Rs. 100
and, each runner-up will get Rs. 25
From the given condition, we have
∴100×(no. of winners) +25×(no. of runner-ups) =3000
⇒100(x)+25(63−x)=3000
⇒100x+1575−25x=3000
⇒75x+1575=3000
⇒75x=3000−1575
⇒75x=1425
⇒x=142575
∴x=19
Hence,the number of winners is 19.