SOLUTION: A , B and C started a business by investing a business in a way that A:B = 1:2 and B:C = 3:4 , what will be the share of A in a company profit of Rs 68000 ?

Question 1096373: A , B and C started a business by investing a business in a way that A:B = 1:2 and B:C = 3:4 , what will be the share of A in a company profit of Rs 68000 ?
Found 2 solutions by ankor@dixie-net.com, greenestamps:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A , B and C started a business by investing a business in a way that A:B = 1:2 and B:C = 3:4 ,
what will be the share of A in a company profit of Rs 68000:
:
A + B + C = 68000
A = 2B
and
4C = 3B
C = B
or
C = .75B
:
Replace A & C in the first equation
2B + B + .75B = 68000
3.75B = 68000
B = 68000/3.75
B = $18,133.33 is B's share
:
C = .75(18133.33)
C = $13,600 is C's share
:
A = 2(18133.33)
A = $36,366.67 is A's share
:
;
You can check this for yourself, add up the 3 shares
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Play with the given ratios so that the number for B in both ratios is the same. It's like finding a common denominator when adding or subtracting fractions.

In the first ratio, the number for B is 2; the second, the number for B is 3. So multiply both numbers in the first ratio by 3 and both numbers in the second ratio by 2; that will make 6 the number for B in both ratios. Then you can combine the two ratios into a single ratio.

1:2 --> 3:6
3:4 --> 6:8

So
A:B:C = 3:6:8

Now with all three numbers expressed in a single ratio, we can let the amounts for A, B, and C be represented by 3x, 6x, and 8x. Then, since the total is 68000,

So the amounts the three business owners should get are
A: 3x = 12000
B: 6x = 24000
C: 8x = 32000

Note: the answers from the first tutor are wrong. While his method was fine, he accidentally wrote 4C=3B, where it should have been 3C=4B...
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