[4 : 5] Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:

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Aptitude

TNPSC G4

10th CBSE Maths

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

2 : 5

3 : 5

4 : 5

6 : 7

Explanation:

Let the third number be x.

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

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

Ratio of first two numbers = ($\dfrac{6x}{5} : \dfrac{3x}{2}$)= 12x : 15x = 4 : 5.

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