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Three numbers are such that the second is 120% of the first, and the third is 75% of the second. What is the ratio of the first to the third?

1. 10:9
2. 9:10
3. 4:3
4. 5:6

Correct answer: 10:9

Solution

Let the first number be x. Then the second is 120% of x = 1.2x, and the third is 75% of 1.2x = 0.9x. So the ratio of the first to the third is x : 0.9x = 10 : 9.

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