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.

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