CA Foundation Exam > CA Foundation Questions > If A:B=3:2 and B:C=3:5, then A:B:C isa)9:6:10...
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If A:B=3:2 and B:C=3:5, then A:B:C is
- a)9:6:10
- b)6:9:10
- c)10:9:6
- d)none of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If A:B=3:2 and B:C=3:5, then A:B:C isa)9:6:10b)6:9:10c)10:9:6d)none of...
A:B = 3:2
B=2 when A=3
B:C = 3:5
B=3 when C=5
But to connect the two ratios you need B to be the same number in both. Find the Least Common Multiple.
LCM(2, 3) = 6
Now scale the equations so that B becomes 6.
A:B = 3:2 = 9:6
B:C = 3:5 = 6:10
A:B:C = 9:6:10
Most Upvoted Answer
If A:B=3:2 and B:C=3:5, then A:B:C isa)9:6:10b)6:9:10c)10:9:6d)none of...
Given information:
A:B = 3:2
B:C = 3:5
We need to find the ratio of A:B:C.
Solution:
Let's assume that the common ratio between A, B, and C is x.
Then, we can write:
A:B = 3x:2x (multiplying both sides by x)
B:C = 3y:5y (multiplying both sides by y)
We need to find the value of x and y to get the ratio of A:B:C in terms of x.
To find x, we can equate the value of B in both equations:
3x = 2y
y = (3/2)x
Now, we can substitute the value of y in the second equation:
B:C = 3y:5y = 9x/2 : 15x/2 = 3x:5
Therefore, the ratio of A:B:C is:
A:B:C = 3x : 2x : 5
We know that A:B = 3:2, so we can write:
3x/2x = 3/2
x = 3/2
Substituting the value of x in the ratio of A:B:C, we get:
A:B:C = 9:6:10
Hence, the correct option is A) 9:6:10.
A:B = 3:2
B:C = 3:5
We need to find the ratio of A:B:C.
Solution:
Let's assume that the common ratio between A, B, and C is x.
Then, we can write:
A:B = 3x:2x (multiplying both sides by x)
B:C = 3y:5y (multiplying both sides by y)
We need to find the value of x and y to get the ratio of A:B:C in terms of x.
To find x, we can equate the value of B in both equations:
3x = 2y
y = (3/2)x
Now, we can substitute the value of y in the second equation:
B:C = 3y:5y = 9x/2 : 15x/2 = 3x:5
Therefore, the ratio of A:B:C is:
A:B:C = 3x : 2x : 5
We know that A:B = 3:2, so we can write:
3x/2x = 3/2
x = 3/2
Substituting the value of x in the ratio of A:B:C, we get:
A:B:C = 9:6:10
Hence, the correct option is A) 9:6:10.
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If A:B=3:2 and B:C=3:5, then A:B:C isa)9:6:10b)6:9:10c)10:9:6d)none of...
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If A:B=3:2 and B:C=3:5, then A:B:C isa)9:6:10b)6:9:10c)10:9:6d)none of theseCorrect answer is option 'A'. Can you explain this answer?
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