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.

Question

Philoid · Accepted Answer

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.