Question

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.


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Answer 1

Answer:

Let x be the number of winners.

Then the number of participants who do not win is given as (63 – x)

The prize money given to x winners = Rs ( 100x)

The prize money given to (63 – x) participants is = Rs 25(63 – x)

According to the given data, the total prize money distributed = Rs 3000

Therefore, 100x + 25(63 – x) = 3000

4x + (63 – x) = 120

3x + 63 = 120

x = 19

Therefore, the number of winners is 19.