Question

A sum of 3000 rupees is to be given in the form of 63 prizes. If the prize money is either rs100 or rs25. Find the number of prizes?

Answer 1

Here is the answer to your question.
Total sum = Rs 3000
Total number of prizes = 63
Let the number of prizes, each of Rs 100 be 'x’ and number of prizes, each of Rs 25 be 'y'
Then according to question
x + y = 63 (1)
100x + 25y = 3000 (2)

Equation (2) gives 4x + y = 120 (3)

Subtracting equation (1) form equation (3):

4x + y – x – y = 120 – 63
3x = 57
x = 19

Putting x = 19 into equation (1)
19 + y = 63
y = 63 – 19 = 44

Number of prizes, each of Rs 100 = 19
Number of prizes, each of Rs 25 = 44