Question

The organizers in an essay competition decide that winner will get a prize of Rs. 100 and a participation who doesn’t 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.

Answer 1

Answer:

Winners = 19

Step-by-step explanation:

Total Participate - 63 (19 Winners + 44 Non Winners)

Nos of Winner 19 * 100 = 1900

Nos of Non Winners 44 * 25 = 1100

Total Participate 19 + 44 = 63

Total Money Distribution - 1900 + 1100 = 3000

Answer 2

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The organizers of an essay competition decide that a winner gets a prize of rs.100 and who doesn't wins get a prize of rs.25 the total prize money distributed is 3000 find the no. Of winners if no. Of participants is 63

Let x be the number of winners.

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✿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.

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