GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
In 1970, company X had 2,000 employees, 15% of whom were
[#permalink]
14 Jul 2018, 05:06
14 Jul 2018, 05:06
Expert Reply
2
Bookmarks
00:00
Question Stats:
95% (01:46) correct
4% (01:46) wrong based on 21 sessions
Hide Show timer Statistics
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?
40% of those women were executives, what was the percent increase in the number of women executives from 1970 to 2012?
Re: In 1970, company X had 2,000 employees, 15% of whom were
[#permalink]
14 Jul 2018, 05:24
14 Jul 2018, 05:24
1
Expert Reply
Explanation
In 1970, company X had 0.15(2,000) = 300 female employees. Of those, 0.10(300) = 30 were female executives.
In 2012, company X had 0.45(12,000) = 5,400 female employees. Of those, 0.40(5,400) = 2,160 were female executives.
Percent Change =\(\frac{Difference}{Original}\times 100 \%\)
Percent Change =\(\frac{2130}{30}\times 100 \% = 7100\%\)
In 1970, company X had 0.15(2,000) = 300 female employees. Of those, 0.10(300) = 30 were female executives.
In 2012, company X had 0.45(12,000) = 5,400 female employees. Of those, 0.40(5,400) = 2,160 were female executives.
Percent Change =\(\frac{Difference}{Original}\times 100 \%\)
Percent Change =\(\frac{2130}{30}\times 100 \% = 7100\%\)
Re: In 1970, company X had 2,000 employees, 15% of whom were
[#permalink]
18 Jul 2018, 18:27
18 Jul 2018, 18:27
1
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?
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%
