Question

10. The organiser of a drawing competition decides that a winner in the competition gets
prize of ₹ 150 and participant who does not win get a prize of ₹ 30. The total prize money
distributed is ₹ 5880. Find the number of winners, if the total number of participants is 100​

Answer 1

Answer:

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

\Rightarrow x=\frac{1425}{75}⇒x=

75

1425

⇒ x = 19

∴, the numbers of winners are 19.