In a research organisation, 70% of the employees are men and 60% of the employees are junior scientists and 70% of the junior scientists are men,. Find the percentage of women who are not junior scientists :

In a research organisation, 70% of the employees are men and 60% of the employees are junior scientists and 70% of the junior scientists are men. Find the percentage of women who are not junior scientists :

SOLUTION:

Assume that total 100 employees work in that organisation
70% out of 100 are men = 70
left 30% out of 100 employees will be women = 30
60% out of 100 employees are junior scientists = 60
Out of 60 junior scientists , 70 % are men = 60 * 70/100 = 42 (men)
42 men are junior scientist.
Women who are junior scientist are 60 – 42 = 18
Now, 18 women out of 30 are junior scientist
Women who are not junior scientist = 30 – 18 = 12
% of women who are not junior scientist = 12/30  * 100 = 40%

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