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
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
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 = \(1.35x : 1.80x = 3 : 4\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #67335)