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In a law firm, 72% of the employees are associates and 54% of the ....

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In a law firm, 72% of the employees are associates and 54% of the ....  [#permalink]

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New post Updated on: 23 Jan 2019, 05:34
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Question Stats:

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Everything you need to know about Tree Structures - Exercise Question #1

In a law firm, 72% of the employees are associates and 54% of the employees are senior associates. What percent of the associates in the firm are junior associates?

    A. 18%
    B. 25%
    C. 50%
    D. 54%
    E. 75%

To solve question 2: Question 2

To read the article: Everything you need to know about Tree Structures

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Originally posted by EgmatQuantExpert on 23 Jan 2019, 04:19.
Last edited by EgmatQuantExpert on 23 Jan 2019, 05:34, edited 1 time in total.
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In a law firm, 72% of the employees are associates and 54% of the ....  [#permalink]

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New post 23 Jan 2019, 04:41
we can solve this question using a 2x2 grid

solution attached

IMO B 25% would be correct option of Jr associate ..

EgmatQuantExpert wrote:
Everything you need to know about Tree Structures - Exercise Question #1

In a law firm, 72% of the employees are associates and 54% of the employees are senior associates. What percent of the associates in the firm are junior associates?

    A. 18%
    B. 25%
    C. 50%
    D. 54%
    E. 75%

To solve question 2: Question 2

To read the article: Everything you need to know about Tree Structures

Image

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Re: In a law firm, 72% of the employees are associates and 54% of the ....  [#permalink]

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New post 25 Jan 2019, 12:28
I believe that it should be A. Because lets assume we have 100 employees in the firm. And 72 (72%) of them are associates and 54(54%) are Senior associates.

Now 72-54=18 are junior associates. which means 18% of 100.
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Re: In a law firm, 72% of the employees are associates and 54% of the ....  [#permalink]

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New post 25 Jan 2019, 12:30
Billallkhan wrote:
I believe that it should be A. Because lets assume we have 100 employees in the firm. And 72 (72%) of them are associates and 54(54%) are Senior associates.

Now 72-54=18 are junior associates. which means 18% of 100.

Billallkhan
Question has asked for % of jr associate so it would be 18/72: 25 %

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In a law firm, 72% of the employees are associates and 54% of the ....  [#permalink]

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New post 01 Feb 2019, 02:10

Solution


Given:
We are given that,
    • 72% of the employees, in a law firm, are associates, and
    • 54% of the employees are senior associates

To find:
    • We are asked to find out the percent of the associates, who are junior associates

Approach and Working:
    • Total employees must be divided into two categories, they are associates and others.
    • Associates are then further divided into senior associates and junior associates

Now, let’s represent the above structure in the form a tree diagram.

Image

Now, let’ see what we need to find: The percentage of associates, in the firm, who are junior associates = \((\frac{A_J}{A}) * 100\)
    • Thus, we need to find the values of \(A_J\) and \(A_S\), to answer this question

Let us assume that the total number of employees in the firm = T
    • From the given information , we can say that the number of associates, A = 72% of T = \(\frac{72T}{100}\)

Now, from the diagram we can see that, total number of associates, \(A = A_J + A_S\)
    • And, we are given that \(A_S\) = 54% of T = \(\frac{54T}{100}\)
    • Which implies, \(A_J = A - A_S = \frac{72T}{100} – \frac{54T}{100} = \frac{18T}{100}\)

Thus, \((\frac{A_J}{A}) * 100 = [(\frac{18T}{100})/ (\frac{72T}{100})] * 100 = 18 * \frac{100}{72} = 25%\)

Therefore, the percentage of associates, in the firm, that are junior associates = 25%

Image

Hence, the correct answer is option B.

Answer: B

Image

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Re: In a law firm, 72% of the employees are associates and 54% of the ....  [#permalink]

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New post 19 Apr 2019, 10:17
EgmatQuantExpert wrote:
Everything you need to know about Tree Structures - Exercise Question #1

In a law firm, 72% of the employees are associates and 54% of the employees are senior associates. What percent of the associates in the firm are junior associates?

    A. 18%
    B. 25%
    C. 50%
    D. 54%
    E. 75%



If there are 100 employees, then 72 are associates and 54 are senior associates. Thus 72 - 54 = 18 are junior associates. Thus, 18/72 = 1/4 = 25% of the associates are junior associates.

Answer: B
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Re: In a law firm, 72% of the employees are associates and 54% of the ....   [#permalink] 19 Apr 2019, 10:17
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