1.

A sum of ₹.3000 is to be given in the form of 63 prizes. If the prize money is either ₹. 100 or.25. Find the number of prizes of each type.

Answer»

Let the number of ₹ 100 prizes be x 

Then the number of ₹ 25 prizes be = 63 – x 

Value of the prizes = 100x + (63 – x) x 25 

= 100x+ 1575 – 25x 

= 75x + 1575 

By problem, 75x + 1575 = 3000 

75x = 3000 – 1575 

75x = 1425

x = 1425/75

x = 19 

∴ ₹ 100 prizes = 19 

₹25 prizes= 63 – x =63 – 19 = 44



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