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# In order to modernize billing operations, a company bought a total of

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In order to modernize billing operations, a company bought a total of [#permalink]

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06 May 2017, 01:10
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Difficulty:

5% (low)

Question Stats:

92% (01:05) correct 8% (01:41) wrong based on 51 sessions

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In order to modernize billing operations, a company bought a total of 60 computers and 20 printers. If the price of each computer was three times the price of each printer, what percent of the total cost of the purchase was the cost of one computer and one printer?

A. 2 %

B. $$\frac{7}{2}$$ %

C. 4 %

D. $$\frac{2}{3}$$%

E. 12 %

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Re: In order to modernize billing operations, a company bought a total of [#permalink]

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06 May 2017, 01:23
AbdurRakib wrote:
In order to modernize billing operations, a company bought a total of 60 computers and 20 printers. If the price of each computer was three times the price of each printer, what percent of the total cost of the purchase was the cost of one computer and one printer?

A. 2 %

B. $$\frac{7}{2}$$ %

C. 4 %

D. $$\frac{2}{3}$$%

E. 12 %

The price of each computer was three times the price of each printer: the price of a computer = 3 and the price of a printer = 1.

Thus, the cost of one computer and one printer = 4 and the total cost = 60*3 + 20*1 = 200.

% = 4/200*100 = 2%.

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Re: In order to modernize billing operations, a company bought a total of [#permalink]

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16 May 2017, 06:18
In order to modernize billing operations, a company bought a total of 60 computers and 20 printers. If the price of each computer was three times the price of each printer, what percent of the total cost of the purchase was the cost of one computer and one printer?
A. 2 %
B. 7272 %
C. 4 %
D. 2323%
E. 12 %

Total printers bought = 20
Let price of printer = $1 Total cost of printer = 1 x 20 =$20

Total computers bought = 60
Price of computer = three times the price of printer = 3 x 1 = $3 Total cost of computer = 3 x 60 =$180

Total cost of computers and printers = 180 + 20 = $200 Cost of 1 computer and 1 printer = 1+ 3 =$4

Percent of 1 computer and 1 printer to the total cost of computers and printers = (Cost of 1 computer and 1 printer / Total cost of computers and printers ) x 100
Required amount = $$\frac{4}{200}$$ x 100 = 2%

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Re: In order to modernize billing operations, a company bought a total of [#permalink]

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16 May 2017, 07:06
Top Contributor
AbdurRakib wrote:
In order to modernize billing operations, a company bought a total of 60 computers and 20 printers. If the price of each computer was three times the price of each printer, what percent of the total cost of the purchase was the cost of one computer and one printer?

A. 2 %

B. $$\frac{7}{2}$$ %

C. 4 %

D. $$\frac{2}{3}$$%

E. 12 %

I'm a big fan of the plugging in values approach (demonstrated by the two posters above).
That said, here's an algebraic approach.

Let x = PRICE of 1 printer
So, 3x = PRICE of 1 computer

So, the COST of 20 printers = 20x
And the COST of 60 computers = 60(3x) = 180x

So, the TOTAL cost of 20 printers and 60 computers = 20x + 180x = 200x
The TOTAL cost of 1 printer and 1 computer = x + 3x = 4x

What percent of the total cost of the purchase was the cost of one computer and one printer?
4x/200x = 4/200 = 2/100 = 2%

Cheers,
Brent
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Re: In order to modernize billing operations, a company bought a total of [#permalink]

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16 May 2017, 07:56
AbdurRakib wrote:
In order to modernize billing operations, a company bought a total of 60 computers and 20 printers. If the price of each computer was three times the price of each printer, what percent of the total cost of the purchase was the cost of one computer and one printer?

A. 2 %

B. $$\frac{7}{2}$$ %

C. 4 %

D. $$\frac{2}{3}$$%

E. 12 %

Let, Price of printer be 1 & the price of computer is 3

So, the cost price of 60 computers and 20 printers is -

$$60*3 + 20*1$$

$$= 180 + 20$$

$$= 200$$

Quote:
Total cost of the purchase was the cost of one computer and one printer

$$= 3+ 1$$

$$= 4$$

Quote:
what percent of the total cost of the purchase was the cost of one computer and one printer?

$$= \frac{4}{200*100}$$

= $$2%$$

Thus, answer must be (A) 2%
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Abhishek....

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Re: In order to modernize billing operations, a company bought a total of   [#permalink] 16 May 2017, 07:56
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