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In an organization, 25% of employees attended the seminar, 15% of employees had undergone training. 5% of the employees attended the seminar and had undergone training as well but those who neither attended the seminar nor had undergone training are 130 in number. Then the total number of employees who had undergone the training is?

In an organization, 25% of employees attended the seminar, 15% of employees had undergone training. 5% of the employees attended the seminar and had undergone training as well but those who neither attended the seminar nor had undergone training are 130 in number. Then the total number of employees who had undergone the training is? Correct Answer 30

Let the number of employees in the organization be x.

25% employees attended seminar = 25% of x = 0.25x

15% employees undergone training = 15% of x = 0.15x

5% employees attended seminar and undergone training = 5% of x = 0.05x

Those who neither attended seminar nor had undergone training = 130

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Number of employees who only attended seminar = 0.25x – 0.05x = 0.20x

Number of employees who had only undergone training = 0.15x – 0.05x = 0.10x

Total number of employees involved in at least one of the activities = 0.20x + 0.10x + 0.05x = 0.35x

Number of employees not involved in any activity = x – 0.35x = 0.65x

According to given information,

0.65x = 130

x = 130 ÷ 0.65

x = 200

Number of employees who had undergone training = 0.15x = 0.15 × 200 = 30

Hence, 30 is the correct answer.

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