A and B start a business with capital Rs. 20,000 and 10,000 respectively. A gets 20% of total profit for managing the business. If Rs. 60,000 profit they gain in the end of the year, then find the share of A.

Rs. 44000

                  A       :       B

Inv.    :   20000   :   10000

                 2        :       1

Profit:       2        :       1        =   3R

*If time is same then investment ratio becomes profit ratio*

Now, ATQ

⇒ 20% profit taken by A and remaining 80% (i.e. = 7R) is divided according to their profit ratio.

So,

⇒ 20% of 60000 = 12000 (A's extra profit)

⇒ Remaining = 60000- 12000 = 48000

⇒ Ratio of profit of A and B = 2 : 1 = 3R

3R = 48000

1R = 16000

Hence,

A's total profit = 2R + 12000 = 32000 + 12000 = Rs.44000