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

Question

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

Options:

A . 2 : 5

B . 3 : 5

C . 4 : 5

D . 6 : 7

Answer: Option C

Let the third number be x.

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

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

Therefore Ratio of first two numbers = \(\left(\frac{6x}{5}:\frac{3x}{2}\right)= 12x:15x = 4:5.\)

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