Answer:

Solution

Let the number of prizes each of Rs.100 be x, and the number of prizes each of Rs.25 be y ;

then by question,

x + y = 63

y = 63 - x -------(1)

Cost of x prizes each of Rs.100= 100x

Cost of y prizes each of Rs.25 = 25y

Therefore, 100x + 25y = 3000

25(4x+y) = 3000

4x + y = 3000/25 = 120

y = 120 - 4x ------(2)

Replacing y = 63-x as per eq1), we have

63 - x = 120 - 4x

4x - x = 120 - 63

3x = 57

x = 19

Hence y = 63-x = 63-19

y = 44

Thus the number of prizes each of Rs.100 = 19

& the numer of peizes each of Rs.25 = 44