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

Submitted by examrobotsa on

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%.

Practice this on app