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

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

A certain movie star's salary for each film she makes consis [#permalink]

Show Tags

09 Aug 2010, 20:18

3

This post received KUDOS

3

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

25% (medium)

Question Stats:

78% (02:52) correct
22% (02:12) wrong based on 181 sessions

HideShow timer Statistics

A certain movie star's salary for each film she makes consists of a fixed amount, along with a percentage of the gross revenue the film generates. In her last two roles, the star made $32 million on a film that grossed $100 million, and $24 million on a film that grossed $60 million. If the star wants to make at least $40 million on her next film, what is the minimum amount of gross revenue the film must generate?

A $110 million B $120 million C $130 million D $140 million E $150 million

A certain movie star's salary for each film she makes consists of a fixed amount, along with a percentage of the gross revenue the film generates. In her last two roles, the star made $32 million on a film that grossed $100 million, and $24 million on a film that grossed $60 million. If the star wants to make at least $40 million on her next film, what is the minimum amount of gross revenue the film must generate?

A $110 million B $120 million C $130 million D $140 million E $150 million

can't really figure this out. any help would be great thanks!

Basically we have following linear relationship: Salary={Percent}*{Revenue from the film}+{Fixed amount} --> \(S=PR+F\) (the same as \(y=ax+b\)).

Given: \(32=100P+F\) and \(24=60P+F\). Question: if \(S\geq{40}\) then \(R_{min}=?\)

Solving: \(32=100P+F\) and \(24=60P+F\) --> subtract 2 from 1 --> \(8=40P\) --> \(P=0.2\) (so she gets 20% of the revenue) --> \(F=12\), so fixed amount is $12 million. So the formula for calculating star's salary is: \(S=0.2R+12\).

We want \(S=0.2R+12\geq{40}\) --> \(R\geq{140}\) --> so \(R_{min}=140\), if the star wants to make at least $40 million on her next film, the film must generate minimum $140 million of gross revenue.

answer is D. Let x be fixed income Let y be the % of variable income. x+(y/100)*100 = 32 x+(y/100)*60 = 24 so we get x = 12 and y = 20% then x+0.2(required revenue)= 40. we get required revenue = 140 million dollars

a $60 million dollar gross = $24 million and a $100 million dollar gross = $32million

we can notice that the difference between the $100 million and $60 million is equal to $40 million. this $40 million equates to an $8 million salary ($32 - $24).

since we want $40 million in salary, we can add the $8 million difference to the $32 million. if we do that, we also need to add the $40 million difference ($100 - $60) to the $100 million. this gives us $140 million. our answer should be $140 million.

Re: A certain movie star's salary for each film she makes consis [#permalink]

Show Tags

10 Jan 2014, 05:43

vwjetty wrote:

A certain movie star's salary for each film she makes consists of a fixed amount, along with a percentage of the gross revenue the film generates. In her last two roles, the star made $32 million on a film that grossed $100 million, and $24 million on a film that grossed $60 million. If the star wants to make at least $40 million on her next film, what is the minimum amount of gross revenue the film must generate?

A $110 million B $120 million C $130 million D $140 million E $150 million

Movie star earned 8 million more in salary with an increase in 40 movie. That is a ratio of 5 times Therefore in order to gain 40 mil she needs an increase of 8 million, which will correspond to an increase in (8*5 = 40 million) in movie

Re: A certain movie star's salary for each film she makes consis [#permalink]

Show Tags

07 Feb 2015, 09:33

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

A certain movie star's salary for each film she makes consis [#permalink]

Show Tags

15 Feb 2015, 14:41

I used sort of a longer approach and it took me almost 4 minutes to solve... But, for those that can calculate fast and don't have to correct calculation mistakes I guess it wouldn't be a problem:

Z is the fixed amount, x/100 the percentage of the revenue she gets and R the revenue of the film. So: \(Z+\)\(\frac{x}{100}\) \(* 100 = 32\), and

\(Z+\)\(\frac{x}{100}\) \(* 60 = 24\)

We subtract the second equation from the first one which leads to: \(\frac{2x}{5}\) \(= 8\)

\(2x = 40\)

\(x = 20\). So we have the % she earns from the revenue of the film.

We replaxe x for 20 in one of our equations: \(Z+\)\(\frac{x}{100}\) \(* 100 = 32\)

\(Z+\)\(\frac{20}{100}\) \(* 100 = 32\)

\(Z = 12\), So, we have the fixed amount.

Now, we know that she wants to get 40 on the next film. So, \(12 +\) \(\frac{20}{100}\)\(*R = 40\)

Re: A certain movie star's salary for each film she makes consis [#permalink]

Show Tags

17 Apr 2016, 10:09

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Happy New Year everyone! Before I get started on this post, and well, restarted on this blog in general, I wanted to mention something. For the past several months...

It’s quickly approaching two years since I last wrote anything on this blog. A lot has happened since then. When I last posted, I had just gotten back from...

Post-MBA I became very intrigued by how senior leaders navigated their career progression. It was also at this time that I realized I learned nothing about this during my...