Question

In an organization, 40% employees are matriculates. 50% of the rest are graduates and the remaining 225 are post-graduates. What is the number of matriculate employees?

• A. 225
• B. 280
• C. 300
• D. 320

Hint:

To solve problems involving percentages, break down the information step by step and relate each group to the total.

Answer 1

The Correct Option is C

Let the total number of employees in the organization be \( N \). - 40% of the employees are matriculates, so the number of matriculate employees is: \[ \text{Matriculates} = 0.40N \] - 50% of the remaining employees (i.e., 60% of the total) are graduates. The remaining 225 employees are post-graduates. Now, the number of employees who are not matriculates is \( 0.60N \). Since 50% of them are graduates, the number of graduates is: \[ \text{Graduates} = 0.50 \times 0.60N = 0.30N \] The remaining employees are post-graduates, and their number is 225. Therefore, we have: \[ \text{Post-graduates} = 0.60N - 0.30N = 0.30N = 225 \] Solving for \( N \): \[ 0.30N = 225 \quad \Rightarrow \quad N = \frac{225}{0.30} = 750 \] Thus, the number of matriculate employees is: \[ \text{Matriculates} = 0.40 \times 750 = 300 \]