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In 1970, company X had 2,000 employees, 15% of whom were women, and 10

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Bunuel
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In 1970, company X had 2,000 employees, 15% of whom were women, and 10 [#permalink] New post   13 Dec 2018, 00:51
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In 1970, company X had 2,000 employees, 15% of whom were women, and 10% of these women were executives. In 2012, the company had 12,000 employees, 45% of whom were women. If 40% of those women were executives, what was the percent increase in the number of women executives from 1970 to 2012?

A. 71
B. 710
C. 7,100
D. 71,000
E. 710,000
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C
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Re: In 1970, company X had 2,000 employees, 15% of whom were women, and 10 [#permalink] New post   13 Dec 2018, 02:32
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Bunuel wrote:
In 1970, company X had 2,000 employees, 15% of whom were women, and 10% of these women were executives. In 2012, the company had 12,000 employees, 45% of whom were women. If 40% of those women were executives, what was the percent increase in the number of women executives from 1970 to 2012?

A. 71
B. 710
C. 7,100
D. 71,000
E. 710,000



1970 women 2000 * 15/100 = 300 and executives 30
2012 5400 * 40 % = 2160

change 2160-30/30 = 7100 IMO C
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In 1970, company X had 2,000 employees, 15% of whom were women, and 10 [#permalink] New post   13 Dec 2018, 23:18
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Bunuel wrote:
In 1970, company X had 2,000 employees, 15% of whom were women, and 10% of these women were executives. In 2012, the company had 12,000 employees, 45% of whom were women. If 40% of those women were executives, what was the percent increase in the number of women executives from 1970 to 2012?

A. 71
B. 710
C. 7,100
D. 71,000
E. 710,000



Answer should be C not D. Please check.

\(\frac{40}{100}\) * \(\frac{45}{100}\) * 12000= 2160....in 2012

\(\frac{10}{100}\) * \(\frac{15}{100}\) * 2000 =30.....in 1970

\(\frac{(2160-30)}{30}\) * 100 = 7100
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Re: In 1970, company X had 2,000 employees, 15% of whom were women, and 10 [#permalink] New post   13 Dec 2018, 23:59
Hi Bunuel,

This question is not hard at all but I think people will choose answer A instead of answer C.

But answer A is a trap answer and we should not forget to multiple 71 with 100% to get 7100.

:dazed
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Re: In 1970, company X had 2,000 employees, 15% of whom were women, and 10 [#permalink] New post   01 Sep 2020, 06:54
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once you see the diff of 2160 and 30... we know 30 x 70 = 2100.. definitely 70X times with 100% means 7000%...
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Re: In 1970, company X had 2,000 employees, 15% of whom were women, and 10 [#permalink] New post   01 Sep 2020, 10:01
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In 1970, company X had 2,000 employees, 15% of whom were women, and 10% of these women were executives:

=> 2000 * \(\frac{15}{100}\) = 300 (women) => 300 * \(\frac{10}{100}\) = 30 (women executives) - Old value

In 2012, the company had 12,000 employees, 45% of whom were women, and 40% of those women are executives:

=> 12,000 * \(\frac{45}{100}\) = 5400 (women) => 5400 * \(\frac{40}{100}\) = 2160 (women executives)- New value

Percent increase : \(\frac{{New value - Old value} }{ {Old value}}\) * 100

=> \(\frac{{2160 - 30} }{ {30}}\) * 100

=> 7,100

Answer C
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Re: In 1970, company X had 2,000 employees, 15% of whom were women, and 10 [#permalink] New post   01 Sep 2020, 11:45
Bunuel wrote:
In 1970, company X had 2,000 employees, 15% of whom were women, and 10% of these women were executives. In 2012, the company had 12,000 employees, 45% of whom were women. If 40% of those women were executives, what was the percent increase in the number of women executives from 1970 to 2012?

A. 71
B. 710
C. 7,100
D. 71,000
E. 710,000

1970

Women = 300 ; Women Executives = 30

2012

Women = 5400 ; Women Executives = 2160

Hence percentage increase in number of women executives from 1970 to 2012 is \(\frac{(2160 - 30)}{30}*100 = 7100\)% , Answer must be (C)
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Re: In 1970, company X had 2,000 employees, 15% of whom were women, and 10 [#permalink] New post   05 Feb 2021, 03:28
1970

\(Employees = 2000\).

Women Employees = \(2000*\frac{15}{100}\) => \(300\).

Women Executives = \(300*\frac{10}{100}\) => \(30 Executives\).

2012

\(Employees = 12000\).

Women Employees = \(12000*\frac{45}{100} => 5400\).

Woman Executives = \(5400*\frac{40}{100} => 2160\).

% increase in women executives from 1970 to 2012= \((2160-30)*\frac{100}{30} => 7100% increase\).

The OA is C.
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Re: In 1970, company X had 2,000 employees, 15% of whom were women, and 10 [#permalink] New post   28 Dec 2023, 11:58
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Re: In 1970, company X had 2,000 employees, 15% of whom were women, and 10 [#permalink]
28 Dec 2023, 11:58
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