In a company 60% of the employees are men. Of these 40% are drawing more than Rs 50,000 per year. If 36% of the total employees of the company draw more than Rs 50,000 per year, what is the percentage among women who are drawing less than Rs 50,000 per ye

examrobotsa's picture
Q: 68 (IAS/2002)
In a company 60% of the employees are men. Of these 40% are drawing more than Rs 50,000 per year. If 36% of the total employees of the company draw more than Rs 50,000 per year, what is the percentage among women who are drawing less than Rs 50,000 per year?

question_subject: 

Maths

question_exam: 

IAS

stats: 

0,2,6,2,4,2,0

keywords: 

{'percentage': [1, 2, 2, 3], 'total employees': [0, 0, 1, 0], 'employees': [1, 0, 5, 5], 'women': [9, 8, 22, 46], 'rs': [0, 0, 9, 3], 'company': [2, 2, 8, 11], 'men': [4, 3, 12, 9]}

Let`s solve the problem step by step:

Let`s assume that the total number of employees in the company is 100.

Given:

- 60% of the employees are men, so there are 60 men in the company.

- Of these men, 40% are drawing more than Rs 50,000 per year. So, 40% of 60 men (0.4 * 60 = 24) are drawing more than Rs 50,000 per year.

- 36% of the total employees of the company draw more than Rs 50,000 per year. So, 36% of 100 employees (0.36 * 100 = 36) are drawing more than Rs 50,000 per year.

To find the number of women who are drawing less than Rs 50,000 per year:

Total number of employees drawing more than Rs 50,000 per year = 36 (as given)

Number of men drawing more than Rs 50,000 per year = 24 (as calculated)

Number of women drawing more than Rs 50,000 per year = Total - Men = 36 - 24 = 12

To find the percentage of women drawing less than Rs 50,000 per year:

Total number of women = Total employees - Men = 100 - 60 = 40

Number of women drawing less than Rs 50,000 per year = Total women - Women drawing more than Rs 50,000 per year = 40 - 12 = 28

Percentage of women drawing less than Rs 50,000 per year = (Women drawing less than Rs 50,000 / Total women) * 100

Percentage of women drawing less than Rs 50,000 per year = (28 / 40) * 100 = 70

Therefore, the percentage among women who are drawing less than Rs 50,000 per year is 70%.