If A : B = 3 : 2 and B : C = 3 : 4, then

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Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Ratios

Question:

If A : B = 3 : 2 and B : C = 3 : 4, then A : C is:

Options:

1 : 2

2 : 1

9 : 8

8 : 9

Correct Answer:

9 : 8

Explanation:

A : B = 3 : 2 and B : C = 3 : 4

2A = 3B ⇒ B = 2\(\frac{A}{3}\)

4B = 3C ⇒ 4(2\(\frac{A}{3}\)) = 3C

8\(\frac{A}{3}\) = 3C

\(\frac{A}{C}\) = \(\frac{9}{8}\)

The correct answer is Option (3) → 9 : 8