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A shop hired new employees recently. The number of male employees inc

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MathRevolution
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A shop hired new employees recently. The number of male employees inc [#permalink] New post   Updated on: 05 Dec 2019, 11:39
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Question Stats:

69% (02:52) correct 31% (02:29) wrong based on 98 sessions
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[GMAT math practice question]

Some employees joined and left a company recently. The number of male employees increased by 10% and the number of female employees decreased by 10%. As a result, the number of all employees increased by 10 individuals, which is a 2% increment. How many male and female employees are there after the recent hiring?

A. \(280, 250\)

B. \(300, 200\)

C. \(330, 180\)

D. \(340, 180\)

E. \(350, 200\)
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Official Answer
C

Originally posted by MathRevolution on 03 Dec 2019, 01:42.
Last edited by MathRevolution on 05 Dec 2019, 11:39, edited 1 time in total.
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Re: A shop hired new employees recently. The number of male employees inc [#permalink] New post   03 Dec 2019, 02:08
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Let the number of male employee = M, number of male employee after hiring = M+10% of M = 1.1M
Number of female employee = F, Number of Female Employee = F-10% of F = 0.9F
Net increase = 0.1M-0.1F = 10
hence, M-F = 100

Also the increase of 10 individual = 2% increase
2/100 * (M+F) = 10
M+F = 500

Solving For M & F, we get,

M = 300
F = 200

Hence after hiring, the values will be 1.1M = 330, 0.9F = 180

Answer C


Shortcut method:

The increase of 10 individual = 2% increase
2/100 * (M+F) = 10
initial (M+F) = 500 and after hiring total will be 510 (as there is a net increase of 10 employee)

Since only option C sums to 510, it is the right Answer.

MathRevolution wrote:
[GMAT math practice question]

A shop hired new employees recently. The number of male employees increased by 10% and the number of female employees decreased by 10%. As a result, the number of all employees increased by \(10\) individuals, which is a 2% increment. How many male and female employees are there after the recent hiring?

A. \(280, 250\)

B. \(300, 200\)

C. \(330, 180\)

D. \(340, 180\)

E. \(350, 200\)
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Re: A shop hired new employees recently. The number of male employees inc [#permalink] New post   05 Dec 2019, 01:27
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=>

Assume \(m\) and \(f\) are the numbers of male and female employees before hiring, respectively.

We have \((m + f)*(\frac{2}{100}) = 10\) or \(m + f = 500\), since the number of employees increased by \(2%\).

We have \(m(\frac{10}{100}) - f(\frac{10}{100}) = 10\) or \(m - f = 100\), since the number of male employees increased by \(10%\) and the number of female employees decreased by \(10%\).

When we add two equations, we have \((m + f) + (m - f) = 500 + 100, 2m = 600\) or \(m = 300.\)

Then \(f = 500 – m = 200.\)

There are \(1.1m = 330\) male employees and \(0.9f = 180\) female employees.

Therefore, C is the answer.
Answer: C
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Re: A shop hired new employees recently. The number of male employees inc [#permalink] New post   05 Dec 2019, 02:39
While I am able to get the right answer by calculating the sum of male and female employees (after "hiring") to be 510 and noticing that only C satisfies, this question should be revised in order to make sense.

The first sentence clearly says "A shop hired new employees recently". In a real world, the shop cannot hire negative female employees whatsoever. So, the reduction of female employees in the wake of new hiring is not going to happen.
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Re: A shop hired new employees recently. The number of male employees inc [#permalink] New post   05 Dec 2019, 11:40
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zhanbo wrote:
While I am able to get the right answer by calculating the sum of male and female employees (after "hiring") to be 510 and noticing that only C satisfies, this question should be revised in order to make sense.

The first sentence clearly says "A shop hired new employees recently". In a real world, the shop cannot hire negative female employees whatsoever. So, the reduction of female employees in the wake of new hiring is not going to happen.


You are right. The question has been modified for more realistic environment.
Thank you for your comments.
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A shop hired new employees recently. The number of male employees inc [#permalink] New post   Updated on: 19 Dec 2019, 11:22
MathRevolution wrote:
[GMAT math practice question]

Some employees joined and left a company recently. The number of male employees increased by 10% and the number of female employees decreased by 10%. As a result, the number of all employees increased by 10 individuals, which is a 2% increment. How many male and female employees are there after the recent hiring?

A. \(280, 250\)

B. \(300, 200\)

C. \(330, 180\)

D. \(340, 180\)

E. \(350, 200\)



Increase in number 10 ,

Increase in pc 2%

so 1% is 5 and 100% is 500

2% increment so new number is 102%=510

now simply check the options and if they don't add up to 510 then you can eliminate it. by this way you can eliminate all of them except C

so answer is C

Originally posted by jackfr2 on 05 Dec 2019, 13:54.
Last edited by jackfr2 on 19 Dec 2019, 11:22, edited 1 time in total.
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A shop hired new employees recently. The number of male employees inc [#permalink] New post   18 Dec 2019, 09:05
MathRevolution wrote:
=>

Assume \(m\) and \(f\) are the numbers of male and female employees before hiring, respectively.

We have \((m + f)*(\frac{2}{100}) = 10\) or \(m + f = 500\), since the number of employees increased by \(2%\).

We have \(m(\frac{10}{100}) - f(\frac{10}{100}) = 10\) or \(m - f = 100\), since the number of male employees increased by \(10%\) and the number of female employees decreased by \(10%\).

When we add two equations, we have \((m + f) + (m - f) = 500 + 100, 2m = 600\) or \(m = 300.\)

Then \(f = 500 – m = 200.\)

There are \(1.1m = 330\) male employees and \(0.9f = 180\) female employees.

Therefore, C is the answer.
Answer: C


it took me around 2minute 50 second to solve this question.What idel time should one take to solve this level of question if one is aiming for q50
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A shop hired new employees recently. The number of male employees inc [#permalink]
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