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In an organization, 40% of the employees are matriculated, 50% of the remaining are graduates and the remaining 180 are post-graduates. How many employees are graduates?

Question

In an organization, 40% of the employees are matriculated, 50% of the remaining are graduates and the remaining 180 are post-graduates. How many employees are graduates?

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Solution

Let's solve this step by step:

  1. Let's assume the total number of employees in the organization is X.

  2. According to the problem, 40% of the employees are matriculated. So, the number of matriculated employees is 40/100 * X = 0.4X.

  3. The remaining employees, which means those who are not matriculated, are X - 0.4X = 0.6X.

  4. The problem states that 50% of these remaining employees are graduates. So, the number of graduate employees is 50/100 * 0.6X = 0.3X.

  5. The remaining employees, which means those who are not matriculated or graduates, are post-graduates. So, the number of post-graduate employees is 0.6X - 0.3X = 0.3X.

  6. According to the problem, the number of post-graduate employees is 180. So, we can set up the equation 0.3X = 180.

  7. Solving this equation for X gives us X = 180 / 0.3 = 600. So, there are 600 employees in total.

  8. The number of graduate employees is 0.3X = 0.3 * 600 = 180.

So, there are 180 employees who are graduates.

This problem has been solved

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