A, B, C and D purchase a gift worth 60. A pays 1/2 of what others are paying, B pays 1/3 rd of what others are paying and C pays 1/4 th of what others are paying. What is the amount paid by D?

It is given that together A B C D contributed Rs 60

So A+B+C+D = 60

It is given that A contributed half of what B , C ,D pays . So , assume B,C,D pays Rs y and hence amount payed by A is Rs y/2

y + $$\frac{y}{2}$$ = 60

y = 40 ,

amount paid by A = $$\frac{y}{2}$$ = 20

It is given that B contributed 1/3rd of what A , C ,D pays . So , assume A,C,D pays Rs z and hence amount payed by B is Rs z/3

z + $$\frac{z}{3}$$ = 60

z =45

amount paid by B = $$\frac{z}{3}$$ = Rs 15

It is given that C contributed 1/4th of what A , B ,D pays . So , assume A,B,D pays Rs m and hence amount payed by C is Rs m/4

m + $$\frac{m}{4}$$ = 60

m = 48

amount paid by C = $$\frac{m}{4}$$ = Rs 12

So amount paid by D = 60 - (12+15+20) = Rs 13