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Average weekly wages of workers

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gulsam
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Average weekly wages of workers [#permalink] New post   23 Dec 2019, 12:14
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1.Approximately what % of the average weekly male wage was the average weekly female wage for workers employed in service occupations in state X in 1987?

2.For the occupation that had the highest ratio of women to men in state X in 1987, by approximately what % would the average weekly female wage have to increase to equal the average weekly male wage?

3. Approximately how much was earned in 1987 by all men working in state X as operators, fabricators, and laborers?

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OA

1. 67%
2.50%
3.200mln
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Re: Average weekly wages of workers [#permalink] New post   27 Apr 2020, 07:29
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gulsam wrote:
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1.Approximately what % of the average weekly male wage was the average weekly female wage for workers employed in service occupations in state X in 1987?

2.For the occupation that had the highest ratio of women to men in state X in 1987, by approximately what % would the average weekly female wage have to increase to equal the average weekly male wage?

3. Approximately how much was earned in 1987 by all men working in state X as operators, fabricators, and laborers?

Show: ::
OA

1. 67%
2.50%
3.200mln



Here,

(1)

Male wages in service occupations = $300

Female wages in service occupations = $200

Percentage = \(\frac{200}{300 }* 100\)% = 67%

(2)

The highest ration of female to male is Technical , sales and support

No. of Av. men wages = $ 500

No. of men = 8000

Total Av. wages for men =500 * 8000 = $40,000

Similarly,

No. of Av. female wages = $ 300

No. of female = 16,000

Total Av. wages for female = 300 * 16000 =$48,000

Since, Av wages of female = 48,000/16,000 = $300

but, we need the av. wages of female to be = $500

hence, the total av. wage of female should be increased to = $80,000 ( \(\frac{80000}{16000} = 500\))

SO the female wages has to increase by 50% to that of male wages

(3)

Total no. of men in state X as operators, fabricators, and laborers = 11,000

Av. wages = $350

Total wages earned = 11,000 * 350 = 3,850,000
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sgatev23
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Average weekly wages of workers [#permalink] New post   04 Dec 2024, 06:38
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re Q2.For the occupation that had the highest ratio of women to men in state X in 1987, by approximately what % would the average weekly female wage have to increase to equal the average weekly male wage?
- the highest ratio of women to men is the last one - 9:(21-9), or 9:11
- Avg Wage Women = $450
- Avg Wage Men = 650
Difference: $200
200/450 * 100 = 44.4%, ~45%

For Q 3, the question asks for the total for the year, not on a weekly basis. so you have 11000*350*4*12 = ~185M

imho
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Re: Average weekly wages of workers [#permalink] New post   04 Jun 2020, 00:04
pranab223 wrote:
gulsam wrote:
Image

1.Approximately what % of the average weekly male wage was the average weekly female wage for workers employed in service occupations in state X in 1987?

2.For the occupation that had the highest ratio of women to men in state X in 1987, by approximately what % would the average weekly female wage have to increase to equal the average weekly male wage?

3. Approximately how much was earned in 1987 by all men working in state X as operators, fabricators, and laborers?

Show: ::
OA

1. 67%
2.50%
3.200mln



Here,

(1)

Male wages in service occupations = $300

Female wages in service occupations = $200

Percentage = \(\frac{200}{300 }* 100\)% = 67%

(2)

The highest ration of female to male is Technical , sales and support

No. of Av. men wages = $ 500

No. of men = 8000

Total Av. wages for men =500 * 8000 = $40,000

Similarly,

No. of Av. female wages = $ 300

No. of female = 16,000

Total Av. wages for female = 300 * 16000 =$48,000

Since, Av wages of female = 48,000/16,000 = $300

but, we need the av. wages of female to be = $500

hence, the total av. wage of female should be increased to = $80,000 ( \(\frac{80000}{16000} = 500\))

SO the female wages has to increase by 50% to that of male wages

(3)

Total no. of men in state X as operators, fabricators, and laborers = 11,000

Av. wages = $350

Total wages earned = 11,000 * 350 = 3,850,000


For Q2, since average wages are already given and the question asks us approximately what % would the average weekly female wage have to increase to equal the average weekly male wage, why can't we simply do 300(100+?/100)=500?? Or am I missing something here?
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Re: Average weekly wages of workers [#permalink] New post   04 Jun 2020, 10:17
Expert Reply
You have the average of both: male and female
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