A, B, and C start a business. A invests 33\(\frac{1}{3}\)% of the total, B invests 25% of the remaining and C invests the rest. Find the share of A at the end of the year if the total profit is Rs. 219000.

73000

Let total investment = 6    

33\(\frac{1}{3}\)% = \(\frac{1}{3}\)

A invests = 6 × \(\frac{1}{3}\) = 2

25% = \(\frac{1}{4}\)  

B invests = (6-2)\(\frac{1}{4}\) = 1

C invests = 6 - (2 + 1) = 3

              A       :         B        :        C

Inv.    :   2       :          1       :         3

Profit:    2       :          1       :         3   = 6R

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

ATQ,

6R = 219000       

A's profit = 2R = \(\frac{219000}{6}\) × 2 = 73000