A, B, and C invested some money in the ratio of 7 : 11: 14 and out of the total profit of Rs.300000, they donated Rs.44000 to the trust. P takes 6.25% of the remaining profit as an active partner and remaining profit they distribute according to their capital. Find the total profit of A at the end of one year.

68500

Total profit = 300000, Donation = 44000

Remaining profit = 256000

Now, 6.25 = \(\frac{1}{16}\)

A takes extra \(\frac{1}{16}\) of 256000

                     = \(\frac{1}{16}\) × 256000 = 16000

Thereafter remaining profit = 256000 - 16000 = 240000

*(If time of investment is same then investment ratio becomes profit sharing ratio)

             A   :    B   :    C

Profit:   7   :   11   :  14  =  32R

⇒ 32R = 240000

⇒ 1R = 7500

⇒ A's profit ratio = 7R = 7 × 7500 = 52500

Now,

⇒ Total profit of A = 52500 + 16000 = 68500