A can do a job in 10 days and B in 15 days. They are working together and charged Rs. 5000. what will be the share of A

Sure, let's solve this step by step:

Step 1: First, we need to find the rate at which A and B work. We know that A can complete the job in 10 days and B can complete it in 15 days. So, A's work rate is 1/10 of the job per day, and B's work rate is 1/15 of the job per day.

Step 2: If they work together, their combined rate is the sum of their individual rates. So, (1/10 + 1/15) = 1/6 of the job per day.

Step 3: Now, we need to find out how much each person's contribution is worth. A's share is proportional to the amount of work he does, and the same goes for B.

Step 4: The ratio of A's work rate to the total work rate is (1/10) / (1/6) = 3/5. Similarly, the ratio of B's work rate to the total work rate is (1/15) / (1/6) = 2/5.

Step 5: Therefore, A's share of the Rs. 5000 is (3/5) * 5000 = Rs. 3000, and B's share is (2/5) * 5000 = Rs. 2000.