40% of the employees of a company are men, 75% of men earn more than Rs. 25,000/year. If 45% of the company’s employees earn more than Rs. 25,000/ year, what fraction of the women employed by the company earn less than or equal to Rs. 25,000/year?
Let's assume that there are 100 employees in the company. Then, 40% of them are men, which is equal to 40 men.
Out of these 40 men, 75% earn more than Rs. 25,000/year, which is equal to 30 men.
Now, we know that 45% of the total employees earn more than Rs. 25,000/year. This is equal to 45 employees.
So, the number of women who earn more than Rs. 25,000/year is equal to 45 - 30 = 15.
Therefore, the total number of women employed by the company is 100 - 40 = 60.
Let's assume that the fraction of women who earn less than or equal to Rs. 25,000/year is x.
Then, the number of women who earn less than or equal to Rs. 25,000/year is equal to x times 60.
We can set up an equation based on the information given:
0.45(100) = 30 + x(60)
Simplifying this equation, we get:
45 = 30 + 60x
Subtracting 30 from both sides, we get:
15 = 60x
Dividing both sides by 60, we get:
x = 1/4
Therefore, the fraction of women employed by the company who earn less than or equal to Rs. 25,000/year is 1/4 or 25%.
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