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

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A certain movie star's salary for each film she makes consis [#permalink]  09 Aug 2010, 20:18
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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
[Reveal] Spoiler: OA

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Re: Movie Salary [#permalink]  10 Aug 2010, 00:59
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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

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: D. Hope it's clear. _________________ Intern Joined: 19 Sep 2009 Posts: 5 Followers: 0 Kudos [?]: 4 [4] , given: 4 Re: Movie Salary [#permalink] 10 Aug 2010, 01:04 4 This post received KUDOS 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 Manager Joined: 19 Jul 2009 Posts: 53 Location: baltimore, md Schools: kellogg, booth, stern, ann arbor Followers: 1 Kudos [?]: 23 [3] , given: 3 Re: Movie Salary [#permalink] 10 Aug 2010, 10:55 3 This post received KUDOS i figured it out as so: 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. does this sound clear? _________________ Paaaaayyy Meeeee!!!!! Moderator Status: battlecruiser, operational... Joined: 25 Apr 2010 Posts: 984 Schools: Carey '16 GMAT 1: Q V Followers: 11 Kudos [?]: 113 [0], given: 71 Re: Movie Salary [#permalink] 10 Aug 2010, 11:02 awesome explanation guys. thanks. _________________ Senior Manager Status: struggling with GMAT Joined: 06 Dec 2012 Posts: 307 Location: Bangladesh Concentration: Accounting GMAT Date: 04-06-2013 GPA: 3.65 Followers: 9 Kudos [?]: 163 [0], given: 46 Re: A certain movie star's salary for each film she makes consis [#permalink] 25 Feb 2013, 10:34 Really awesome explanation................. SVP Joined: 06 Sep 2013 Posts: 2026 Concentration: Finance GMAT 1: 710 Q48 V39 Followers: 24 Kudos [?]: 291 [0], given: 354 Re: A certain movie star's salary for each film she makes consis [#permalink] 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

Thus 140 is your best choice

Hope it helps
Cheers
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Re: A certain movie star's salary for each film she makes consis [#permalink]  07 Feb 2015, 09:33
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A certain movie star's salary for each film she makes consis [#permalink]  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,
$$12 +$$ $$\frac{20}{100}$$$$*R = 40$$

$$12+0.2R = 40$$

$$0.2R = 28$$

$$R = 140$$.

So, ANS D.
A certain movie star's salary for each film she makes consis   [#permalink] 15 Feb 2015, 14:41
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