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.
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%
Hence, the correct answer is option B.
Answer: B
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