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  • a)
    15
  • b)
    10
  • c)
    12
  • d)
    none of these
Correct answer is option 'B'. Can you explain this answer?
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a)15b)10c)12d)none of theseCorrect answer is option 'B'. Can you expla...
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a)15b)10c)12d)none of theseCorrect answer is option 'B'. Can you expla...
Solution:
Given, A:B = 2:3, B:C = 4:5 and C:D = 6:7
Let's assume a constant k, such that
A = 2k, B = 3k
B = 4m, C = 5m
C = 6n, D = 7n
where k, m and n are constants.
Now we have to find the value of A:B:C:D
Method 1: Using the values obtained above
A:B:C:D = 2k:3k:5m:7n
Now substituting the values of k, m and n in terms of B, we get
A:B:C:D = 16B:24B:30B:35B
A:B:C:D = 16:24:30:35
Hence, the correct option is (b).
Method 2: Using cross-multiplication
We know that A:B = 2:3
So, B/A = 3/2
Similarly, B:C = 4:5
So, C/B = 5/4
And, C:D = 6:7
So, D/C = 7/6
Multiplying all the ratios, we get
(B/A) * (C/B) * (D/C) = (3/2) * (5/4) * (7/6)
Simplifying, we get
D/A = 35/16
Therefore, A:B:C:D = 16:24:30:35
Hence, the correct option is (b).
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a)15b)10c)12d)none of theseCorrect answer is option 'B'. Can you explain this answer?
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