The organisers 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 3,000. Find the number of winners, if the total number of participants is 63.
Let the number of winners be x. therefore, the number of participants who did not win = 63- x.
The amount given to winners be Rs 100x
Then, given to the participants who did not win = Rs 25(63-x) = Rs 1575 – 25x
Now, 100x + 1575 – 25x = 3000
75x = 3000 – 1575
75x = 1425
Thus, the number of winners are 19.