P and Q entered into a partnership investing Rs.16000 and Rs. 12000 respectively. After 3 months P withdraw Rs. 5000, while Q invested Rs. 5000 more. After 3 more months R joins the business with a capital of Rs. 21000. The share of Q exceeds that of R, out of the total profit of Rs. 26400 after one year byOptionsRs. 2000Rs. 1900Rs. 3600Rs. 6800

The problem is about the distribution of profit in a partnership. Here's how to solve it:

Step 1: Calculate the capital for each partner for the period they invested.

P's capital for the first 3 months: Rs. 16000 P's capital for the next 9 months (after withdrawing Rs. 5000): Rs. 11000 So, P's capital for the year: (160003 + 110009) = Rs. 147000

Q's capital for the first 3 months: Rs. 12000 Q's capital for the next 3 months (after investing Rs. 5000 more): Rs. 17000 Q's capital for the remaining 6 months: Rs. 17000 So, Q's capital for the year: (120003 + 170009) = Rs. 186000

R's capital for the last 6 months (since R joined after 6 months): Rs. 21000 So, R's capital for the year: (21000*6) = Rs. 126000

Step 2: Calculate the ratio of their capitals, as profit is distributed in the ratio of their capitals.

P : Q : R = 147000 : 186000 : 126000 Simplify the ratio by dividing each term by the greatest common divisor (3000 in this case). P : Q : R = 49 : 62 : 42

Step 3: Calculate the difference in the share of profit between Q and R.

The total profit is Rs. 26400. So, the share of each partner will be:

P's share = (49 / (49+62+42)) * 26400 = Rs. 9240 Q's share = (62 / (49+62+42)) * 26400 = Rs. 11760 R's share = (42 / (49+62+42)) * 26400 = Rs. 7920

The difference between Q's and R's share is Rs. 11760 - Rs. 7920 = Rs. 3840.

So, the share of Q exceeds that of R by Rs. 3840. This option is not given in the question.