Question

the organiser of an essay competition decide that a winner in the competition get a price of rupees hundred and the participant who does not win get a price of rupees 25 the total prize money distributed in rupees 3000 find the number of winner if the total number is participating is 63
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Answer 1

Answer:

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Step-by-step explanation:

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=  57/3 =19

∴ The number of winners is 19.