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Sales: 100%
Technical: 50%
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
74% (02:26) correct
26%
(03:09)
wrong
based on 1569
sessions
History
Date
Time
Result
Not Attempted Yet
A corporation recently expanded both its sales department and its technical department. Immediately before expansion, the number of employees in the sales department was exactly 60% of the number of employees in the technical department. Immediately after the expansion, the sales department had exactly 12 employees, and the technical department had exactly 15 employees.
Select for Sales and Technical percent increases in the number of employees that the sales department and the technical department, respectively could have experienced during expansion, such that the percent increases are jointly consistent with the information provided. Make only 2 selections, one in each column.
Select for Sales and Technical percent increases in the number of employees that the sales department and the technical department, respectively could have experienced during expansion, such that the percent increases are jointly consistent with the information provided. Make only 2 selections, one in each column.
| Sales | Technical | |
| 20% | ||
| 25% | ||
| 40% | ||
| 50% | ||
| 75% | ||
| 100% |
ShowHide Answer
Official Answer
Sales: 100%
Technical: 50%
19 Mar 2024, 04:41
Kudos
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A simple question indeed on the surface – appears to be a word problem question with ratios and percent increase.
But the key to solving this question is making this inference:
This processing is at the heart of solving this question.
Now after this step, one should take care of processing in the most efficient way, rejecting the combinations that are not possible.
So, this question is one of those easy wins – that you should be able to solve in less than 1.5’ if you do the processing in the most efficient way!
But the key to solving this question is making this inference:
- The presented information of 60% simplifies to 3:5 ratio and that implies that one quantity is a multiple of 3 and the other is a multiple of 5.
This processing is at the heart of solving this question.
Now after this step, one should take care of processing in the most efficient way, rejecting the combinations that are not possible.
So, this question is one of those easy wins – that you should be able to solve in less than 1.5’ if you do the processing in the most efficient way!
husainp
Before the expansion, we are told that the number of employees in the sales department (S) was 60% of the number of employees in the technical department (T). This gives us S = 0.6T or S/T = 3/5. Since after the expansion, the number of employees in the sales and technical departments was 12 and 15 respectively, the number of employees in the departments before the expansion should have been less. Based on the ratio, the possible values could have been:
(S, T)
(3, 5)
(6, 10)
(9, 15)
____________
After the expansion, the number of employees in sales was 12, and in technical, 15.
If the values were (3, 5), the sales department would have had a 300% increase (from 3 to 12), but since this option isn't available, we discard this.
If the values were (6, 10), the sales department would have a 100% increase (from 6 to 12) and the technical department a 50% increase (from 10 to 15). This matches the available options. Done!
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