Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: 2006 · Marks: · Difficulty:
In a certain company, the ratio of the number of managers to the number of production-line workers is 5 to 72. If 8 additional production-line workers were to be hired, the ratio of the number of managers to the production-line workers would be 5 to 74. How many managers does the company have?
(a)10
(b)20
(c)25
(d)30
Answer
Answer (as printed): B
Explanation
Let the number of managers and production-line workers be $5 x$ and $72 x$ respectively. Then, $$\frac{5 x}{72 x+8}=\frac{5}{74} \Rightarrow 370 x=360 x+40 \Rightarrow 10 x=40 \Rightarrow x=4 .$$ ∴ Number of managers $=5 \times 4=20$.
Explanation as extracted from the printed page; notation may be imperfect.