It was intended that Rs.19.50 should be divided between A,B &C in the ratio 2:3:4 but by mistake distribution was made in the ratio 1/2:1/3:1/4.how much does each gain or loss by this error?

Question

This is from the chapter ratio and proporton .Ans . Profit of A Rs.4.67,loss of B Rs.0.50,loss of C Rs. 4.17

Answer 1

original...2,3,4, sum=9

wood hav got 2/9, 3/9, & 4/9 av 19.5 or 0.222222222..., 1/3, & 0.444444444...

(1/2), (1/3), (1/4)...sum=0.75+0.333333333333333333...1.083333333333333...

so first gi get (1/2)/1.08333333=0.461538461 av total insted av 0.2222222

him get more than dubel his share

Answer 2

True distribution of the money is found by adding 2, 3 and 4 together=9 and partitioning the amount as 2/9, 3/9 (1/3) and 4/9: 13/3, 13/2, 26/3.

Actual distribution is found by adding the fractions together=(6+4+3)/12=13/12, partitioning the amount as 6/13, 4/13 and 3/13: 9, 6, 9/2.

To find gain or loss we subtract the true from the actual: 9-13/3=14/3=Rs4.67 gain; 6-13/2=-1/2=Rs0.50 loss; 9/2-26/3=-25/6=-Rs4.17 loss.