A, B and C were partners in a firm shaing profits in 3:2:1 ratio. They admitted D for 10% profits. Calculate New Profit-sharing Ratio.

Explanation

D's share `=10%or(10)/(100)or(1)/(10)th`, Remaining share `=1-(1)/(10)=(9)/(10)`
Distribute the remaining share of `(9)/(10)` among A,B and C in their old ratio of 3:2:1 A's New share `=(9)/(10)xx(3)/(6)=(27)/(60)`, B's New share `=(9)/(10)xx(2)/(6)=(18)/(60)`
C's New share `=(9)/(10)xx(1)/(6)=(9)/(60)`, D's share `=(1)/(10)or(6)/(60)`
Thus, New Profit-sharing Ratio A, B,C and D `=(27)/(60):(18)/(60):(9)/(60):(6)/(60)=9:6:3:2`.