Question

Which of the following is the equivalent ratio of 3:2?

• A. 6:4
• B. 9:6
• C. 12:8
• D. All of these

Answer 1

The correct option is D

All of these

Equivalent ratio means that both the numbers comprising a ratio are multiplied by the same number.

From the given options,

6:4 is the equivalent ratio of 3:2, which is $\frac{3\times 2}{2\times 2}=\frac{6}{4}$.

Similarly, $\frac{3\times 3}{2\times 3}=\frac{9}{6}$ and $\frac{3\times 4}{2\times 4}=\frac{12}{8}$.

So, 6:4 is the equivalent ratio of 3:2, i.e. when the numbers are multiplied by 2, 9:6 when multiplied by 3, 12:8 when multiplied by 4.

Hence, the correct answer is option (d).