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# M22-13

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Math Expert
Joined: 02 Sep 2009
Posts: 58445

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16 Sep 2014, 01:16
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Difficulty:

5% (low)

Question Stats:

90% (00:35) correct 10% (00:30) wrong based on 122 sessions

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2 laptops and 6 desktops were bought for office needs. If a laptop is twice as expensive as a desktop, what percent of the money was spent on laptops?

A. 30
B. 40
C. 48
D. 50
E. 60

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Math Expert
Joined: 02 Sep 2009
Posts: 58445

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16 Sep 2014, 01:16
Official Solution:

2 laptops and 6 desktops were bought for office needs. If a laptop is twice as expensive as a desktop, what percent of the money was spent on laptops?

A. 30
B. 40
C. 48
D. 50
E. 60

Let $$x$$ denote the price of a desktop. The money spent $$= 2(2x) + 6x = 10x$$. The money spent on laptops $$= 2(2x) = 4x$$. The answer is $$\frac{4x}{10x}*100\% = 40\%$$.

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Joined: 08 Jun 2015
Posts: 420
Location: India
GMAT 1: 640 Q48 V29
GMAT 2: 700 Q48 V38
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10 Jan 2018, 07:11
+1 for option B
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Joined: 27 Nov 2017
Posts: 20
Location: India
GMAT 1: 580 Q47 V25
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10 Jan 2018, 11:21
Let T be the total money spent on buying 2 laptops (L) and 6 desktops (D)
then , 2L + 6D = T
Also, given L = 2D
=> 2L + 6 (L/2) = T
=> L = T/5 which implies to 20% of the total money spent.
Since, 2 laptops were bought so total percentage of money spent = 2* 20% = 40% (option no. B)

This is my logic !!
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Joined: 07 Jan 2018
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10 Jan 2018, 17:38
I was thinking B, but traveled here once I saw the QoD post state A as the answer. I'm glad my initial analysis was correct!
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Joined: 31 Oct 2017
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11 Jan 2018, 14:21
1
I used Test IT method: (we are looking for the ratio of $spent on Laptops to all$ spent on all 8 devices)
1) since L = 2D, we'll let "L" be $4 and "D" be$2.
2) and since we have 2 L's and 6 D's, we'll get the total spending: 2(4) + 6(2) = $20 total cost 3) notice from previous step that 2 L's cost$8, and that total is \$20, hence we have 8/20, or 40/100 ---> 40%

my first post lol hope its clear
Re: M22-13   [#permalink] 11 Jan 2018, 14:21
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# M22-13

Moderators: chetan2u, Bunuel