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Of the employees at a certain company, 60 percent participate

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Of the employees at a certain company, 60 percent participate [#permalink] New post   29 Jun 2023, 20:34
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Of the employees at a certain company, 60 percent participate in the company retirement’s plan; and of those employees, 20 percent also participate in the company’s health plan. If 48 percent of the company’s employees in its health plan, what fraction of those employees also participate in the company’s retirement plan?

(A) 1/4
(B) 1/3
(C) 1/2
(D) 2/3
(E) 3/4
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Of the employees at a certain company, 60 percent participate [#permalink] New post   29 Jun 2023, 22:53
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houston1980 wrote:
Of the employees at a certain company, 60 percent participate in the company retirement’s plan; and of those employees, 20 percent also participate in the company’s health plan. If 48 percent of the company’s employees in its health plan, what fraction of those employees also participate in the company’s retirement plan?

(A) 1/4
(B) 1/3
(C) 1/2
(D) 2/3
(E) 3/4


Let the number of employees in the company = x

We can jot down the information in a 2*2 matrix as shown below

Required Ratio = Number of employees in the health plan and in the retirement plan / Number of employees in the health plan

Required Ratio = \(\frac{60*20}{100*100} * x\) / \(\frac{48}{100} * x\)

Required Ratio = \(\frac{1}{4}\)

Option A
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Re: Of the employees at a certain company, 60 percent participate [#permalink] New post   07 Jul 2023, 07:37
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houston1980 wrote:
Of the employees at a certain company, 60 percent participate in the company retirement’s plan; and of those employees, 20 percent also participate in the company’s health plan. If 48 percent of the company’s employees in its health plan, what fraction of those employees also participate in the company’s retirement plan?

(A) 1/4
(B) 1/3
(C) 1/2
(D) 2/3
(E) 3/4


If n is the number of employees at the company, then:

# retirement plan = 0.6n

# retirement & health plans = (0.2)(0.6n) = 0.12n

# health plan = 0.48n

Therefore, the fraction in question is:

0.12n/0.48n = 1/4

Answer: A
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Of the employees at a certain company, 60 percent participate [#permalink] New post   22 Jan 2024, 13:48
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JeffTargetTestPrep wrote:
houston1980 wrote:
Of the employees at a certain company, 60 percent participate in the company retirement’s plan; and of those employees, 20 percent also participate in the company’s health plan. If 48 percent of the company’s employees in its health plan, what fraction of those employees also participate in the company’s retirement plan?

(A) 1/4
(B) 1/3
(C) 1/2
(D) 2/3
(E) 3/4


If n is the number of employees at the company, then:

# retirement plan = 0.6n

# retirement & health plans = (0.2)(0.6n) = 0.12n

# health plan = 0.48n

Therefore, the fraction in question is:

0.12n/0.48n = 1/4

Answer: A

I am struggling with the last sentence..."What fraction of those (48%) also participate in the company´s retirement plan"
I still do not understand why is it not 48% / 12%. Is it tricky wording or is it me having a knowledge gap?
Thank you for your help!
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gmatclubot
Of the employees at a certain company, 60 percent participate [#permalink]
22 Jan 2024, 13:48
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