Problem Solving

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?
$110 million
$120 million
$130 million
$140 million
$150 million

Solution -
if fixed + x% of 100m = 32
and fixed + x% of 60m = 24

so the difference is 100 - 60 = 40 million one earns (32-24) = 8 million

hence 32+8 = 40 million and amt is 100+40 =140 million

that's how is solved it but it can be fluke..is my approach correct

Hi,

here is my try,

Let F be the Fixed amount
and G be the percentage of gross revenue

From question we can write

F + G = 32 ...... (1)
F + (3/5)G = 24 .....(2)

from 1 and 2

F = 12 and G = 20

So, to make atleast 40

40 = 12 + (20/100) G ==> G=140

Answer is D

Regards,
Uva.

I solved using second approach to find fixed & percentage separately.

personally I liked the first approach.

This question is very good candidate of DS question