P, Q & R are partners in a partnership firm named RAWAT SOLUTIONS and sharing profits in the ratio of 4:3:1. Q retires and sold his share of profits to other partners for ₹8100. ₹3600 was paid by P and ₹4500 was paid by R. Profit for the year after Q's retirement is ₹10500.

In which ratio ₹10500 profit will be divided among partners?

2:1

The correct answer is option 4 i.e. 2:1

As Q is retired from the firm and the profit is after his retirement so it will be distributed in the new ratio means 2:1.

*Old ratio is 4:3:1
As both partners gaining ratio is 4:5 means they acquire Q's share(3/8) in this ratio.
So, P acquires = 4/9 x 3/8 = 1/6
      R acquires = 5/9 x 3/8 = 5/24
New share = Old share + Acquired share
P's new share = 4/8 + 1/6
                       = (12 +4)/24
                       = 16/24 = 2/3
R's new share = 1/8 + 5/24
                       = (3 +5)/24
                       = 8/24 = 1/3
New ratio is 2/3 : 1/3
                  = 2:1