1
Question
P, Q and R were partners in the ratio of 1/5, 1/3 and 7/15 respectively. R retires and his share was taken up by P and Q in the ratio of 3 : 2. The new ratio of P and Q will be:
P, Q and R were partners in the ratio of 1/5, 1/3 and 7/15 respectively. R retires and his share was taken up by P and Q in the ratio of 3 : 2. The new ratio of P and Q will be:
Open in App
Solution
The correct option is D 12:13
Old ratio (P, Q, and R) = 1/5, 1/3 and 7/15 or 3 : 5 : 7R's profit share = 7/15P and Q decided to take his share in the ratio of 3 : 2Share of R taken by P = (7/5) *(3/5) = 21/75Share of R taken by Q = (7/5) * (2/5) = 14/75New profit share = Old profit share + Share taken from RP's new share = (3/15) + (21/75) = (15 + 21)/75 = 36/75Q's new share = (5/15) + (14/75) = (25 + 14)/75 = 39/75New profit sharing ratio (P and Q) = 36:39 = 12:13
Old ratio (P, Q, and R) = 1/5, 1/3 and 7/15 or 3 : 5 : 7
R's profit share = 7/15
P and Q decided to take his share in the ratio of 3 : 2
Share of R taken by P = (7/5) *(3/5) = 21/75
Share of R taken by Q = (7/5) * (2/5) = 14/75
New profit share = Old profit share + Share taken from R
P's new share = (3/15) + (21/75) = (15 + 21)/75 = 36/75
Q's new share = (5/15) + (14/75) = (25 + 14)/75 = 39/75
New profit sharing ratio (P and Q) = 36:39 = 12:13
Suggest Corrections
0
Similar questions