The organizers of an essay competition decide that a winner in the competition gets a prize of ₹100 and a participant who does not win, gets a prize of ₹25. The total prize money distributed is ₹3,000. Find the number of participants is 63.

Total sum of money = ₹3000
Let the number of winners of ₹100 be x.
And those who are not winners = 63-x
According to the question, 100Xx+25X(63-x)=3000
⇒ 100x+1575-25x=3000
⇒ 75x+1575=3000
⇒ 7x+1575-1575=3000-1575 [Subtracting 1575 from both sides]
⇒ 7x-1425
⇒ 7x/7=1425/7 [Dividing both sides by 7]
⇒ x=19

Hence the number of winner is 19.

Class 8 Maths Chapter 2 Exercise 2.2 Solution in Video

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