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In a certain accounting association, 40 percent of the members have pa

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In a certain accounting association, 40 percent of the members have pa  [#permalink]

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New post 19 Oct 2016, 06:35
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In a certain accounting association, 40 percent of the members have passed the CPA exam. Among the members who have not passed the test, 50 members work at an accounting firm and the other 55 are still in school. How many members are in the accounting association?

A. 175
B. 200
C. 225
D. 250
E. 275
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Re: In a certain accounting association, 40 percent of the members have pa  [#permalink]

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New post 19 Oct 2016, 07:17
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alanforde800Maximus wrote:
In a certain accounting association, 40 percent of the members have passed the CPA exam. Among the members who have not passed the test, 50 members work at an accounting firm and the other 55 are still in school. How many members are in the accounting association?

a) 175
b) 200
c) 225
d) 250
e) 275

Please assist with above problem.


40% passed so 60% failed the CPA exam
Quote:
Among the members who have not passed the test, 50 members work at an accounting firm and the other 55 are still in school.

Total students not passed = 105 ( ie 50 + 55)
Quote:
How many members are in the accounting association?

Now, Total members = \(\frac{105}{60}*100\) = 175

Hence answer will be (A) 175

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Re: In a certain accounting association, 40 percent of the members have pa  [#permalink]

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New post 20 Oct 2016, 00:08
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Its given that 60% failed students = 105 (50 + 55)

60 % of total students = 105

Total students = 105*100/60

= 175

Option A.

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Re: In a certain accounting association, 40 percent of the members have pa  [#permalink]

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New post 24 Jan 2018, 21:37
Hi All,

This question can be solved by TESTing THE ANSWERS.

We're told that 40% of the members have passed the CPA exam, while the other (50+55 = 105) members have not. We're asked how many total members are in the association.

Let's TEST Answer B: 200 members

IF... there are 200 total members...
40% of 200 = 80
So there should be 120 other members. However, the prompt tells us that there are only 105 other members, so this answer is TOO BIG. We need fewer members; there's only one answer that fits...

Final Answer:

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Re: In a certain accounting association, 40 percent of the members have pa   [#permalink] 24 Jan 2018, 21:37
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