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: \( 0.5 \times 0.6T = 0.3T \)
- The remaining 50% are post-graduates: \( 0.3T = 180 \)
- Solving for \( T \): \( 0.3T = 180 \) → \( T = 600 \)
- Therefore, the number of graduates is \( 0.3 \times 600 = 180 \)
- 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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