If the first number and the second number is 25% and 50% more than the third number
respectively, find the respective ratio between the first and the second number.

Correct option is B

Given:

Let the third number be 'x'.

Solution:
The first number is 25% more than the third number:
First number = $$x + 25\% \times x = x + \frac{25}{100} \times x = \frac{5x}{4}$$​​
The second number is 50% more than the third number:
Second number = $$x + 50\% \times x = x + \frac{50}{100} \times x = \frac{3x}{2}$$​​

We have the first number as $$\frac{5x}{4}$$ and the second number as $$\frac{3x}{2}$$​.
The ratio of the first number to the second number is:
​$$\frac{\frac{5x}{4}}{\frac{3x}{2}} = \frac{5x}{4} \times \frac{2}{3x} = \frac{5}{6}$$​​

Answer: The ratio between the first and second numbers is 5:6.