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

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In 1970, company X had 2,000 employees, 15% of whom were [#permalink] New post 14 Jul 2018, 05:06
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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?
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Re: In 1970, company X had 2,000 employees, 15% of whom were [#permalink] New post 18 Jul 2018, 18:27
sandy 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?


First solve for how many execs are women in 1970:
\(2000 * \frac{15}{100} = 300\) --> This is total number of women in 1970 at Company X
\(300 * \frac{10}{100} = 30\) --> This is the number of women execs in 1970 at Company X

Now solve for how many execs are women in 2012:
\(12000 * \frac{45}{100} = 5400\) --> This is total number of women in 2012 at Company X
\(5400 * \frac{40}{100} = 2160\) --> This is the number of women execs in 2012 at Company X

Now we have to solve for the percent increase by using the percent increase formula (google it if this doesn't make sense):
\(2160 - 30 = 2130\)
\(2130 / 30 = 71\)
\(71 * 100 = 7100\)

The answer is 7100%
Re: In 1970, company X had 2,000 employees, 15% of whom were   [#permalink] 18 Jul 2018, 18:27
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In 1970, company X had 2,000 employees, 15% of whom were

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