16. The organisers of an essay competition decide that a winner in the competition gets a prize of Rs100 and a participant who does not winges a prize of Rs 25. The total prize money distributed is Rs3,000. Find the number of winners, if the total number of participants is 63.
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find the hcf of 63 and 3000
vivekanand6:
solution kidar hai
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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.
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