In Veeru Bhai Private Limited, 60% of the employees are men and 48% of the employees are engineers. Of these engineers, 66.6% are men. What percentage of the women employees in the company are not engineers?

Introduction / Context:
This percentage problem combines two categorical breakdowns in a company workforce: gender and profession. It tests your ability to work with overlapping percentages and to focus on a specific subgroup, here women who are not engineers.

Given Data / Assumptions:

• In the company, 60% of employees are men and 40% are women.• Forty eight percent of all employees are engineers.• Of these engineers, 66.6% (about two thirds) are men.• We must find the percentage of women who are not engineers relative to all women employees.

Concept / Approach:
It is convenient to assume a total number of employees, for example 100, to convert percentages into actual counts. Then we can determine how many are male engineers, female engineers and women who are not engineers. Finally we compute the required percentage among women.

Step-by-Step Solution:
Step 1: Assume total employees = 100.Step 2: Men = 60 employees and women = 40 employees.Step 3: Engineers = 48 employees, since 48% are engineers.Step 4: Of these 48 engineers, 66.6% are men. Approximating 66.6% as two thirds, male engineers = (2/3) * 48 = 32.Step 5: Female engineers = total engineers − male engineers = 48 − 32 = 16.Step 6: Total women employees are 40.Step 7: Women who are not engineers = total women − female engineers = 40 − 16 = 24.Step 8: Required percentage among women = (24 / 40) * 100 = 60%.

Verification / Alternative check:
We can double check the full distribution. Men non engineers = 60 − 32 = 28. Total non engineers = 28 + 24 = 52 which is consistent with 100 − 48 engineers. Thus all percentages align correctly, supporting the result.

Why Other Options Are Wrong:
Values 33.33%, 52% and 46.66% arise from using the wrong base when computing percentages, such as total employees instead of only women, or treating 66.6% approximately but not adjusting engineer numbers correctly.

Common Pitfalls:
The main difficulty is keeping track of which percentage is of which total. Many candidates mistakenly calculate the percentage of women non engineers out of all employees, instead of out of only women employees, which changes the denominator and the answer.

Final Answer:
Sixty percent of the women in the company are not engineers.