Instead of dividing Rs.117 among P, Q and R in the ratio 1/2 : 1/3 : 1/4, it was wrongly divided in the ratio 2 : 3 : 4. Who gains the most in this distribution and how much do he gains?

Total amount  = Rs.117
Wrong ratio = 2 : 3 : 4

9 unit = 117

1 unit = 13

Share of P = 2 unit = $$2 \times 13$$ = Rs.26

Share of Q = 3 unit = $$3 \times 13$$ = Rs.39

Share of R = 4 unit = $$4 \times 13$$ = Rs.52

$$\therefore$$ R gains the most in this distribution.

Correct ratio of P, Q and R = 1/2 : 1/3 : 1/4 = 6 : 4 : 3

13 unit = 117

1 unit = 9

Share of R = 3 unit = 3 $$\times 9$$ = Rs.27

Difference of gain = 52 - 27 = Rs.25