Question

The organisers of an essay compeition decide that a winner in the compeition 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. 3000. Find the number of winners , if the total number of participants is 63.

Answer 1

100 X 10 = 1,000
1,000 X 3 = 3,000
 So 30 is your answer there are 30 winners.

Answer 2

hey shruti
here is ur answer ✴
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Solution: Given, Total number participants = 63
Total prize money distributed = Rs 3000
Winner gets a prize of Rs 100
Loser gets a prize of Rs 25
Number of winners = ?

Let the number of winners = m
Since,
Number of winners + Number of losers = Total number of participants
Or, m + Number of losers = 63

By transposing ‘m’ to RHS, we get
Number of losers = 63 – m
Now, Total Prize money distributed to winners
= Number of winners X prize money distributed to each winner = m X 100 = 100m
Total prize money distributed to losers
= Number of losers X prize money distributed to each loser
= (63 – m) X 25 = (63 x 25) – 25 m = 1575 – 25 m

Now, Total Prize money of winners + Total Prize money of losers = Total prize money
By substituting the total prize money distributed to winners and total prize money distributed to losers, we get
100 m + 1575 – 25 m = 3000
⇒ 100 m – 25 m + 1575 = 3000

By transposing 1575 to RHS, we get
100 m – 25 m = 3000 – 1575
⇒75 m = 1425

After dividing both sides by 75, we get

75m/75 =1425/75
m=19
Thus, number of winners = 19 Answer
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I hope this will help
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