Question

the organisers of an essay competition decide that a winner in the competition gets a prize Rs 100 and a participant who does not win gets a prize of Rs25 .The total prize money distributed is Rs 3000.Find the number of winners, if the total number of participants is 63​

Answer 1

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Answer 2

Let the numbers of winner be x.

Then, the number of participants who didn’t win = 63 – x

Total money given to the winner = x × 100 = 100x

Total money given to participant who didn’t win = 25×(63-x)

According to the question,

100x + 25×(63-x) = 3,000

⇒ 100x + 1575 – 25x = 3,000

⇒ 75x = 3,000 – 1575

⇒ 75x = 1425

⇒ x = 1425/75

⇒ x = 19

Therefore, the numbers of winners are 19.