CONCEPT:RATIOS AND PARTNERSHIPS

-The share of an individual in the profit is in proportion to his investment made.

-If the investment of A and B are in the ratio a:b,then in the profit of x$, the shares of A and B are a/(a +b)*x $ and b/(a +b)*x $

respectively.

SOLUTION:

Let total investment be $100.

Then A's investment is 1/5*100= $20

Thus(B+C)'s investment=100-20=$80;-----(1)

Given, B=A+C

=>B-C=A=$20--------(2)

From (1) and (2) 2B=100=>B's investment is=$50

Hence C's investment is=100-(20+50)=30

Thus investment ratio of A:B:C =20:50:30=2:5:3

C's share thus is 3/10*5200=$1560 (C)