Question

If 40$\%$ of a number is equal to two-third of another number, what is the ratio of the first number to the second number?

• A. 5:3
• B. 3:4
• C. 3:5
• D. 5:2

Answer 1

The correct option is A

5:3

Let $40\%ofA=\frac{2}{3}B.$

Then, $\frac{40A}{100}=\frac{2B}{3}$

$\frac{2A}{5}=\frac{2B}{3}$

$\frac{A}{B}=\frac{2}{3}\times \frac{5}{2}=\frac{5}{3}$

$\therefore A:B=5:3$