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M22-13

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Joined: 02 Sep 2009
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M22-13 [#permalink]

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New post 16 Sep 2014, 00:16
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A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

89% (00:34) correct 11% (00:32) wrong based on 70 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
[Reveal] Spoiler: OA

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Re M22-13 [#permalink]

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New post 16 Sep 2014, 00:16
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 \(\frac{4x}{10x}*100\% = 40\%\).

Answer: B
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: M22-13 [#permalink]

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New post 10 Jan 2018, 06:11
+1 for option B
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Re: M22-13 [#permalink]

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New post 10 Jan 2018, 10:21
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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Re: M22-13 [#permalink]

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New post 10 Jan 2018, 16:38
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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Re: M22-13 [#permalink]

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New post 11 Jan 2018, 13:21
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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, 13:21
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