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: Option B
Solution(By Examveda Team)
Let the number of managers and production - line workers be 5x and 72x respectivelyThen,
$$\eqalign{ & = \frac{{5x}}{{72x + 8}} = \frac{5}{{74}} \cr & \Rightarrow 370x = 360x + 40 \cr & \Rightarrow 10x = 40 \cr & \Rightarrow x = 4. \cr} $$
∴ Number of managers = 5 × 4 = 20
Related Questions on Ratio
If a : b : c = 3 : 4 : 7, then the ratio (a + b + c) : c is equal to
A. 2 : 1
B. 14 : 3
C. 7 : 2
D. 1 : 2
If $$\frac{2}{3}$$ of A=75% of B = 0.6 of C, then A : B : C is
A. 2 : 3 : 3
B. 3 : 4 : 5
C. 4 : 5 : 6
D. 9 : 8 : 10
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