Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is? Options :5:43:24:52:3
Question
Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is?
Options : 5:4 3:24 5:2 3
Solution
Let's assume the third number is x.
According to the problem, the first number is 20% more than x, and the second number is 50% more than x.
So, the first number is 120% of x, or 1.2x, and the second number is 150% of x, or 1.5x.
The ratio of the two numbers is therefore 1.2x : 1.5x.
We can simplify this ratio by dividing both sides by the common factor, which is 0.3x.
So, the ratio of the two numbers is 1.2x/0.3x : 1.5x/0.3x = 4 : 5.
Therefore, the ratio of the two numbers is 4:5.
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