Question

A bag contains a total at 105 coins of Re. 1, 50 paise and 25 paise denominations. Find the

total number of coins of Re. 1 if there are a total of 50.50 rupees in the bag and it is known

that the number of 25 paise coins is 133.33% more than the number of Re. 1 coins.

Answer 1

from the given data we will get two equations 2.33X+Y=105 and
5.33X+y=210

from equation 1 we can determine that 2.33X is odd(any no. multiplied by odd no. results odd no) so y must be even.
but in 2nd equation Y should be even then only we will get the sum as a even no. 
so 1 and 2 are contraversial to each other
so ans is d