Two numbers are respectively 35% and 80% more than a third number. The ratio of the two numbers is

A.

7 : 16

B.

3 : 4

C.

16 : 7

D.

4 : 3

Correct answer is B

Let the third number = \(x\)

Then the first number = 100% \(x + 35%x = 135\)%\(x = \frac {135x}{100} = 1.35x\) (Note: 100% \(x = x\))

The second number = 180% \(x = \frac {180x}{100} = 1.80x\)

∴ The ratio of the first number to the second number = \(1.35x : 1.80x = 3 : 4\)