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The total price of a basic computer and printer are $2,500

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The total price of a basic computer and printer are $2,500 [#permalink] New post 20 Mar 2012, 08:33
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77% (02:21) correct 23% (01:38) wrong based on 85 sessions
The total price of a basic computer and printer are $2,500. If the same printer had been purchased with an enhanced computer whose price was $500 more than the price of the basic computer, then the price of the printer would have been 1/5 of that total. What was the price of the basic computer?

A. 1500
B. 1600
C. 1750
D. 1900
E. 2000

I started doing this question, but got stuck.

Let x be the price of the basic computer and y be the price of the printer.

x + y = 2500 -------------------------------------------------------------------------------(1)

Price of the enhanced computer = x + 500 ---------------------------------------------------(2)

Price of the printer i.e. y = 1/5 (x+500) ------------------------------------------------------(3)

Solving 1 and 2 will give me x = 2000. But the answer is not correct, its D?
[Reveal] Spoiler: OA

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Re: The total price of a basic computer and printer are $2,500 [#permalink] New post 20 Mar 2012, 12:18
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The total price of a basic computer and printer are $2,500. If the same printer had been purchased with an enhanced computer whose price was $500 more than the price of the basic computer, then the price of the printer would have been 1/5 of that total. What was the price of the basic computer?
A. 1500
B. 1600
C. 1750
D. 1900
E. 2000

Let the price of basic computer be C and the price of the printer be P: C+P=$2,500.

The price of the enhanced computer will be C+500 and total price for that computer and the printer will be 2,500+500=$3,000. Now, we are told that the price of the printer is 1/5 of that new total price: P=1/5*$3,000=$600.

Plug this value in the first equation: C+600=$2,500 --> C=$1,900.

Answer: D.
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Re: Price of a Basic Computer [#permalink] New post 20 Mar 2012, 09:50
enigma123 wrote:
The price of a basic computer and a printer was $2500. If the same computer had been purchased with an enhanced computer whose price was 500 more than the price of the basic computer, the the price of the printer would have been 1/5 of the total. What was the price of the basic computer?

A) 1500

B) 1600

C) 1750

D) 1900

E) 2000

I started doing this question, but got stuck.

Let x be the price of the basic computer and y be the price of the printer.

x + y = 2500 -------------------------------------------------------------------------------(1)

Price of the enhanced computer = x + 500 ---------------------------------------------------(2)

Price of the printer i.e. y = 1/5 (x+500) ------------------------------------------------------(3)

Solving 1 and 2 will give me x = 2000. But the answer is not correct, its D?


My try:

Here you have:
c=computer
p=price
Total price of the combo 1: c+p=2500
Total price of the combo 2: c+p+500 = 3000 (here you are not changing any price, only adding 500)

p=3000/5=600

Then:

C+600 = 2500
C=1900
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Re: The total price of a basic computer and printer are $2,500 [#permalink] New post 23 Mar 2012, 04:06
Let B, and P be price of basic computer and printer resp.
given B+P=2500

also advanced computer price = B+500 and P= 1/5(2500 + 500) = 600
Substituting this value in the first equation we get

B = 2500 -600 = 1900 hence D.
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Re: The total price of a basic computer and printer are $2,500 [#permalink] New post 23 Mar 2012, 04:48
p +c=2500
p+c+2500=total(T)

Hence T= 3000

P= 1/5*3000=600

HENCE c=1900
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Re: The total price of a basic computer and printer are $2,500 [#permalink] New post 24 Mar 2014, 23:15
Did using one variable:

Price of basic computer = x

Price of printer = (2500 - x)

Price of enhanced computer = x + 500

Setting up the equation

2500 - x = \frac{1}{5} * (x+500+2500-x)

x = 1900 = Answer = D
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Re: The total price of a basic computer and printer are $2,500 [#permalink] New post 03 May 2014, 00:11
[quote="enigma123"]The total price of a basic computer and printer are $2,500. If the same printer had been purchased with an enhanced computer whose price was $500 more than the price of the basic computer, then the price of the printer would have been 1/5 of that total. What was the price of the basic computer?

A. 1500
B. 1600
C. 1750
D. 1900
E. 2000

]

total price = Bc + Printer = 2500-------1

1/5(Enhance Comp + P) = P
E.c + p =5p
4p = Ec
4p= B.c + 500
4.p = 2500 - p + 500 (from 1)
p =600
Bc = 1900
Re: The total price of a basic computer and printer are $2,500   [#permalink] 03 May 2014, 00:11
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