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

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2:3

3:4

4:5

5:6

answer is C.

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Detailed Solution

Concept- To compare each component with the entire, ratio to percent conversion is quite helpful. Any two components of a whole are compared using ratios. For instance, a solution's sugar to salt ratio is 3:1. It is informing us that the ratio of sugar to salt in the solution is three to one. Ratios of a very particular kind include percentages. Instead of comparing the separate pieces to one another, a percent compares any one component of the whole to the entire thing. As we have given a percentage of two numbers, we need to calculate the ratio of these numbers by using the ratio formula .
Let consider the number is

Then, first number is

Second number is

Now the ratio of the number is

We will cancel the x as it is common on both sides.

So, the ratio of two numbers is 4:5.
Hence, the correct answer is option 3) 4 : 5

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