# The organisers 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 winners, if the total number of participants is 63

**Solution:**

Let's use the given conditions in the question to form a linear equation.

Let the number of winners(W) = x

Then the number of participants who do not win(L) = 63 - x

Total prize money = ₹3000

[W × 100] + [L × 25] = 3000

100x + (63 - x)25 = 3000

100x + 1575 - 25x = 3000

75x + 1575 = 3000

75x = 3000 - 1575

x = 1425/75

x = 19

Therefore, the number of winners of the essay competition is 19.

**☛ Check: **NCERT Solutions for Class 8 Maths Chapter 2

**Video Solution:**

## The organisers 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 winners, if the total number of participants is 63

NCERT Solutions Class 8 Maths Chapter 2 Exercise 2.2 Question 16

**Summary:**

The organisers 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. The number of winners is 19, if the total number of participants is 63.

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