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In a certain organisation, 40% employees are matriculates, 50% of the remaining are graduates and the remaining 180 are post-graduates. What is the number of graduate employees ?

A. 180

B. 240

C. 300

D. 360

Answer: Option A

Solution(By Examveda Team)

Let the total number of employees be x
Then,
(100 - 50)% of (100 - 40)% of x = 180
50% of 60% of x = 180
$$\eqalign{ & \Rightarrow \left( {\frac{{50}}{{100}} \times \frac{{60}}{{100}} \times x} \right) = 180 \cr & \Rightarrow x = \left( {\frac{{180 \times 10}}{3}} \right) \cr & \Rightarrow x = 600 \cr} $$
∴ Number of graduate employees :
$$=$$ 50% of 60% of x
$$\eqalign{ & = \left( {\frac{{50}}{{100}} \times \frac{{60}}{{100}} \times 600} \right) \cr & = 180 \cr} $$

This Question Belongs to Arithmetic Ability >> Percentage

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