In an organization, 40% of the employees are matriculates, 50% ofthe remaining are graduates and remaining 180 are post-graduates. How many employees are graduates ?
In an organization, 40% of the employees are matriculates, 50% ofthe remaining are graduates and remaining 180 are post-graduates. How many employees are graduates ?
A360
B240
C180
D300
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Correct answer is: 180
Explanation: Let the total number of employees be T
- 40% of T are matriculates: 0.4T
- Remaining employees: 60% of T = 0.6T
- 50% of these remaining employees are graduates: 0.5×0.6T=0.3T
- The remaining 50% are post-graduates: 0.3T=180
- Solving for T: 0.3T=180 → T=600
- Therefore, the number of graduates is 0.3×600=180
- OPTION a (360): Incorrect, as it does not match the calculated number of graduates.
- OPTION b (240): Incorrect, as it does not match the calculated number of graduates.
- OPTION c (180): Correct, as it matches the calculated number of graduates.
- OPTION d (300): Incorrect, as it does not match the calculated number of graduates.
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