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A corporation recently expanded both its sales department and its tech

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husainp
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A corporation recently expanded both its sales department and its tech [#permalink] New post   Updated on: 27 Jan 2024, 09:19
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70% (02:32) correct 30% (03:21) wrong based on 210 sessions
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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.
Sales Technical
20%
25%
40%
50%
75%
100%
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Sales: 100% Technical: 50%

Originally posted by husainp on 27 Jan 2024, 08:38.
Last edited by chetan2u on 27 Jan 2024, 09:19, edited 1 time in total.
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Re: A corporation recently expanded both its sales department and its tech [#permalink] New post   19 Mar 2024, 04:41
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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:
  • 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!


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Re: A corporation recently expanded both its sales department and its tech [#permalink] New post   27 Jan 2024, 09:28
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husainp wrote:
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.



Before expansion:
Let the number of employees in technical department be x, then those in sales department = 0.6x
S:T = 0.6x:x = 3x:5x.
Thus, the minimum number can be S = 3 and T=5
After expansion:
S=12 and T=15
So S changes from 3 to 12, a 400% increase. No option

Next
Before expansion:
S:T = 0.6x:x = 3x:5x =3*2:5*2 = 6:10
After expansion:
S=12 and T=15
So, S changes from 6 to 12, a 100% increase. The answer is a part of option, so let us test for T.
T changes from 10 to 15, an increase of 50%, again in the option.

Answer
100% and 50%
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A corporation recently expanded both its sales department and its tech [#permalink] New post   29 Apr 2024, 03:20
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chetan2u
I think you should have written 300% increase...(12-3)/3 *100 = 300%
chetan2u wrote:
husainp wrote:
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.



Before expansion:
Let the number of employees in technical department be x, then those in sales department = 0.6x
S:T = 0.6x:x = 3x:5x.
Thus, the minimum number can be S = 3 and T=5
After expansion:
S=12 and T=15
So S changes from 3 to 12, a 400% increase. No option

Next
Before expansion:
S:T = 0.6x:x = 3x:5x =3*2:5*2 = 6:10
After expansion:
S=12 and T=15
So, S changes from 6 to 12, a 100% increase. The answer is a part of option, so let us test for T.
T changes from 10 to 15, an increase of 50%, again in the option.

Answer
100% and 50%


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A corporation recently expanded both its sales department and its tech [#permalink]
29 Apr 2024, 03:20
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