A is a working partner and B is a sleeping partner in a business. The capital of A and B are Rs.6000, Rs.9000 respectively. A received 12 1\2% for managing the business and the rest is divided in proportion to their capitals. What each gets out of a profit of Rs.12000.

This math problem is about two people, A and B, who are partners in a business. They each put in different amounts of money to start the business.

A put in Rs.6000 and B put in Rs.9000. A gets a percentage of the profit for managing the business, and the rest is divided between them in proportion to their original investments.

So, if the business makes Rs.12000 in profit, A gets Rs.1500 and B gets Rs.6300. In order to find out the money gained by A and B, the first step is to find out how much of the Rs.12000 profit goes to A for managing the business.

This is done by dividing Rs.12000 by 100 and multiplying it by 12 1/2 (the percentage that A gets).

This equals Rs.1500, so that is how much A earns for managing the business. The rest of the profit, Rs.10500, is then divided between A and B in proportion to their original investments.

This means that A gets 2/5 of the Rs.10500, or Rs.4200, and B gets 3/5 of it, or Rs.6300. So, A ends up with Rs.5700 and B with Rs.6300.