Two numbers are respectively 35% and 80% more than a third number. The ratio of
MATHEMATICS
JAMB 2023
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: B. 3 : 4
Explanation
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 = \(1.35x : 1.80x = 3 : 4\)
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