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When a computer is rented from store X, there is an initial fee of $80

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When a computer is rented from store X, there is an initial fee of $80  [#permalink]

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New post 18 Dec 2018, 07:57
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When a computer is rented from store X, there is an initial fee of $80 and an additional rate of $20 per day. When a computer is rented from store Y, there is an initial fee of $180 and a daily computer rental rate of $17. If the cost of renting a computer for n days from store Y is 125% of the cost of renting from store X, what is the value of n?

(A) 5
(B) 8
(C) 10
(D) 13
(E) 25

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Re: When a computer is rented from store X, there is an initial fee of $80  [#permalink]

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New post 18 Dec 2018, 08:07
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itisSheldon wrote:
When a computer is rented from store X, there is an initial fee of $80 and an additional rate of $20 per day. When a computer is rented from store Y, there is an initial fee of $180 and a daily computer rental rate of $17. If the cost of renting a computer for n days from store Y is 125% of the cost of renting from store X, what is the value of n?

(A) 5
(B) 8
(C) 10
(D) 13
(E) 25


Store X = \(80 + 20n\)
Store Y = \(180 + 17n\)

Now, \(\frac{125}{100}\) => \(\frac{5}{4}\)

So, \(180 + 17n\) = \(\frac{5(80 + 20n)}{4}\)

Or, \(720 + 68n = 400 + 100n\)

Or, \(32n = 320\)

So, \(n = 10\) , Answer must be (C)
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Re: When a computer is rented from store X, there is an initial fee of $80   [#permalink] 18 Dec 2018, 08:07
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