A sum of ₹ 2700 is to be given in the form of 63 prizes. If the prize is of either ₹ 100
or ₹ 25, find the number of prizes of each type.
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let the no of of prize money of rupees 100 = x
total number of prizes= 63
The number of prize money of rupees 25= 63 - x
Cost for rupees 100 prizes = 100 × x = 100x
Cost for rupees 25 prizes = 25 ( 63- x)
= 1575- 25x
Total amount for all prizes = 3000
100x + 1575 - 25x = 3000
75x + 1575 = 3000
75x = 3000 - 1575
75x = 1425
x = 1425/ 75
= 19
no of prize money of rupees 100 = 19
no of prize money of rupees 25. = 63-x
= 63-19 = 44
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