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# M17-03

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Math Expert
Joined: 02 Sep 2009
Posts: 53796

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16 Sep 2014, 01:00
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Difficulty:

55% (hard)

Question Stats:

67% (01:14) correct 33% (01:24) wrong based on 81 sessions

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Before a project started, there had been 20 male and 12 female employees in the finance department. If 5 more men were hired to work on the project, what was the percent increase in the ratio of male employees to female employees in the finance department?

A. 10%
B. 12%
C. 20%
D. 24%
E. 25%

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Math Expert
Joined: 02 Sep 2009
Posts: 53796

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16 Sep 2014, 01:00
2
Official Solution:

Before a project started, there had been 20 male and 12 female employees in the finance department. If 5 more men were hired to work on the project, what was the percent increase in the ratio of male employees to female employees in the finance department?

A. 10%
B. 12%
C. 20%
D. 24%
E. 25%

Ratio before $$= \frac{20}{12}$$, ratio after $$= \frac{25}{12}$$. The percent increase = $$(\frac{\frac{25}{12} - \frac{20}{12}}{\frac{20}{12}})*100\% = \frac{5}{12}*\frac{12}{20}*100\% = 25\%$$.

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Manager
Joined: 24 Nov 2013
Posts: 57

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12 Aug 2015, 01:09
we can also solve this by testing answer options.
Check for 20% (easy number to deal).
20/12 (M:F ratio before change) + 20% (20/12) = 24/12....but the ratio after increase is 25/12. hence C is ruled out.
A and B also ruled out as they will given even smaller ratio.

Lets check 25%
20/12 (ratio before change) + 25% (20/12) = 25/12...which is the M:F ratio after the change.
Intern
Joined: 04 Sep 2018
Posts: 39
GPA: 3.33

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16 Jan 2019, 01:16
Can I get an explanation for this question? Purchased GMAT Club Quant tests, but not really happy with the explanation provided. My quant is on the weak side, so a step by step explanation would be really ace people.

Math Expert
Joined: 02 Sep 2009
Posts: 53796

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16 Jan 2019, 01:41
nust2017 wrote:
Can I get an explanation for this question? Purchased GMAT Club Quant tests, but not really happy with the explanation provided. My quant is on the weak side, so a step by step explanation would be really ace people.

Not sure what to elaborate there. The question tests ratios and percent increase/decrease formula (general formula for percent increase or decrease, (percent change): $$\text{Percent} = \frac{\text{Change}}{\text{Original}}*100$$).

Could you please specify what part is unclear in the solution? Thank you.
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Re: M17-03   [#permalink] 16 Jan 2019, 01:41
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# M17-03

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