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02 Dec 2020, 04:28
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C
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Difficulty:
15%
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Question Stats:
84% (02:15) correct
16%
(02:10)
wrong
based on 80
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A, B and C start a small business. A contributes 1/5th of the total capital invested in the business. B contributes as much as A and C together. Total profit at the end of the year was $5,200. What was C's profit share?
A. 1500
B. 1510
C. 1560
D. 2510
E. 2700
A. 1500
B. 1510
C. 1560
D. 2510
E. 2700
02 Dec 2020, 04:50
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CONCEPT:RATIOS AND PARTNERSHIPS
-The share of an individual in the profit is in proportion to his investment made.
-If the investment of A and B are in the ratio a:b,then in the profit of x$, 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=$1560 (C)
Hope this helps.
Devmitra Sen
-The share of an individual in the profit is in proportion to his investment made.
-If the investment of A and B are in the ratio a:b,then in the profit of x$, 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)
Hope this helps.
Devmitra Sen
02 Dec 2020, 05:18
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Let the total investment was 100.
A's invest: \(\frac{1}{5}\) * 100 = 20
Remanining: 100 - 20 = 80 (B +C)'s investment
=> B + C = 80 ---- Eqn(1)
B's investment= A + C = 20 + C
=> B - C = 20 ---- Eqn(2)
Eqn 1 + Eqn2: 2B = 100 or B = 50
=> B + C = 80
=> 50 + C = 80
=> C = 30
=> A: B: C = 20: 50: 30 or 2:5:3
C' share: \(\frac{3 }{ (2 + 5 + 3)}\) * 5,200
=> \(\frac{3}{10}\) * 5,200
=> 1,560
Answer C
A's invest: \(\frac{1}{5}\) * 100 = 20
Remanining: 100 - 20 = 80 (B +C)'s investment
=> B + C = 80 ---- Eqn(1)
B's investment= A + C = 20 + C
=> B - C = 20 ---- Eqn(2)
Eqn 1 + Eqn2: 2B = 100 or B = 50
=> B + C = 80
=> 50 + C = 80
=> C = 30
=> A: B: C = 20: 50: 30 or 2:5:3
C' share: \(\frac{3 }{ (2 + 5 + 3)}\) * 5,200
=> \(\frac{3}{10}\) * 5,200
=> 1,560
Answer C
