Question

16. The organisers of an essay competition decide that a winner in the
competition gets a prize of 7.100 and a participant who does not win gets
a prize of 25. The total prize money distributed is 73,000. Find the
number of winners, if the total number of participants is 63.​

Answer 1

Answer:

Correct option is

C

19

Let x be the number of the winners. So, the number of participants who does not win (63−x).

Prize money given to x winners = Rs. (100×x)= Rs. 100x

and prize money given to (63−x) participants = Rs. 25(63−x)

Given, total prize money distributed = Rs. 3000

∴100x+25(63−x)=3000

⇒4x+(63−x)=120 ...[On dividing both sides by 25]

⇒3x+63=120

⇒3x=120−63 ...[Transposing 63 to RHS]

⇒3x−57⇒x=

3

57

=19

∴ The number of winners is 19.

Step-by-step explanation:

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