X, Y & Z share profit in the ratio 3:2:1. On Z's retirement, his share was taken by X & Y in the ratio 2:1. Their new ratio will be...........
Answer & explanation
Correct answer: option 2
The correct answer is option 2- 11:7.
Old ratio = 3:2:1 (X, Y & Z)
Z retires
Gaining ratio = 2:1 (X & Y)
Z share = 1/6
X takes = 2/3 * 1/6
= 2/18
Y takes = 1/3 * 1/6
= 1/18
New share = Old share + Gained share
New share of X = 3/6 + 2/18
= (9+2)/18
= 11/18
New share of Y = 2/6 + 1/18
= (6+1)/18
= 7/18
New ratio between X & Y = 11/18 : 7/18
= 11:7