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29 Jun 2023, 20:34
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A
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Difficulty:
15%
(low)
Question Stats:
87% (01:45) correct
13%
(02:35)
wrong
based on 695
sessions
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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 participate 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
(A) 1/4
(B) 1/3
(C) 1/2
(D) 2/3
(E) 3/4
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07 Jul 2023, 07:37
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houston1980
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
29 Jun 2023, 22:53
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houston1980
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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