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

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

Solution:
Let the third number be x

Then, first number = 120% of x = 120x/100 = 6x/5
Second number = 150% of x = 150x/100 = 3x/2

∴ Ratio of first two numbers = 6x/5 : 3x/2
= 12x : 15x
= 4 : 5