Question

Two numbers are respectively 20$\%$ and 50$\%$ more than a third number. The ratio of the first two numbers is

• A. 3:4
• B. 4:5
• C. 2:3
• D. 4:7

Answer 1

The correct option is B

4:5

Let the third number be $x$

Then, first number = 120$\%$ of $x$ = $\frac{120x}{100}$ = $\frac{6x}{5}$

Second number = 150$\%$ of $x$ = $\frac{150x}{100}$ = $\frac{3x}{2}$

∴ The ratio of first two numbers = $\frac{6x}{5}$:$\frac{3x}{2}$ = 12$x$:15$x$ = 4:5