a certain sum of money is divided between P and Q in the ration 3-1/2:5-1/2. if P gets Rs 180

less than Q then Q's share is

Answer:

Let us assume that Q's share be Rs. X, then P's share will be (X - 180).

The amount is divided among P and Q in the ratio 3 1/2 : 5 1/2 = 7/2 / 11/2 = 7/2 x 2/11 = 7/11.

Then:

7/11 = (X - 180)/X

7X = 11X - 1980

7X - 11X = - 1980

4X = 1980

X = 1980/4 = 495

Ans: Q's Share = Rs. 495.