swerP 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 by

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

1. Calculate the capital for each month for each partner:

   • P's capital for the first 3 months is Rs. 16000. After 3 months, P withdraws Rs. 5000, so for the next 9 months, P's capital is Rs. 16000 - Rs. 5000 = Rs. 11000. Therefore, P's capital for the year is 316000 + 911000 = Rs. 139000.

   • Q's capital for the first 3 months is Rs. 12000. After 3 months, Q invests Rs. 5000 more, so for the next 9 months, Q's capital is Rs. 12000 + Rs. 5000 = Rs. 17000. Therefore, Q's capital for the year is 312000 + 917000 = Rs. 183000.

   • R joins the business 6 months into the year with a capital of Rs. 21000. Therefore, R's capital for the year is 6*21000 = Rs. 126000.

2. Calculate the ratio of their capitals, which will be the same as the ratio of their profits:

   • The ratio of P:Q:R = 139000:183000:126000 = 139:183:126.

3. Calculate the total profit:

   • The total profit is Rs. 26400.

4. Distribute the profit according to the ratio of their capitals:

   • P's share = 26400 * (139/448) = Rs. 8200 (approximately).
   • Q's share = 26400 * (183/448) = Rs. 10600 (approximately).
   • R's share = 26400 * (126/448) = Rs. 7600 (approximately).

5. The problem asks for how much Q's share exceeds R's share:

   • Q's share exceeds R's share by Rs. 10600 - Rs. 7600 = Rs. 3000.