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Originally 20 people had signed up to rent a house for the summer in L

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Originally 20 people had signed up to rent a house for the summer in L  [#permalink]

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New post 10 Sep 2017, 05:48
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A
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C
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E

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Question Stats:

77% (01:52) correct 23% (00:39) wrong based on 33 sessions

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Originally 20 people had signed up to rent a house for the summer in Long Island, with each person contributing equally to the total cost of c dollars. If 10 people had to drop out, but two more signed up, how much more would each person have to pay?

A. c/30

B. c/12

C. c/8

D. 11c/24

E. 2c/25

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Originally 20 people had signed up to rent a house for the summer in L  [#permalink]

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New post 10 Sep 2017, 06:21
IMO, the best way to find the solution to this problem, is by assigning a value for c

Since 20 people and later 12 people share this cost, lets take a number that is easy to work with(240$)
So initially, each of the people had contributed \((\frac{240}{20} = 12$)\)

After 10 people quit and 2 new people joined, there are \(20 - 10 + 2 = 12\) people.
So, the individual contribution is \((\frac{240}{12} = 20$)\) and it goes up \(8$\)

Substituting the value of c=240$, we get the cost going up(8$) using Option A(\(\frac{c}{30}\))
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Re: Originally 20 people had signed up to rent a house for the summer in L  [#permalink]

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New post 10 Sep 2017, 07:34
Per head cost initially is C/20.
After 10 persons leave and 2 Join then there are 12 persons in total.

So the extra amount to be paid by each individual is
C/12 - C/20
Which gives C/30.
Answer A.

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Re: Originally 20 people had signed up to rent a house for the summer in L  [#permalink]

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New post 10 Sep 2017, 10:02
Let initially each pay amount x
so 20* x= c => x= c/20 <= money paid by each person

Now 10 people dropped out and 2 got added. So not number of person =12

So assume each have to pay y amount now. Total amount remain constant
=> 12 * y =c => y=c/12 <= amount each person will be paying now.

So difference in Amount paid = y - x
= c/12 - c/20 = 2c/60 = c/30

Answer: A
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Re: Originally 20 people had signed up to rent a house for the summer in L   [#permalink] 10 Sep 2017, 10:02
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Originally 20 people had signed up to rent a house for the summer in L

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