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M20-16

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M20-16 [#permalink]

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New post 16 Sep 2014, 01:08
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A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

94% (00:43) correct 6% (00:49) wrong based on 82 sessions

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Medicine A is 25 percent more expensive than medicine B. Medicine B is 20 percent cheaper than medicine C. If medicine C costs $10, what is the difference between the price of medicine A and the price of medicine B ?

A. $1.25
B. $1.50
C. $2.00
D. $2.50
E. $2.75
[Reveal] Spoiler: OA

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Re M20-16 [#permalink]

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New post 16 Sep 2014, 01:08
Official Solution:

Medicine A is 25 percent more expensive than medicine B. Medicine B is 20 percent cheaper than medicine C. If medicine C costs $10, what is the difference between the price of medicine A and the price of medicine B ?

A. $1.25
B. $1.50
C. $2.00
D. $2.50
E. $2.75

Let \(A\), \(B\), and \(C\) denote the prices of the respective medicine. We know that \(A = 1.25B\) and that \(B = 0.8C\). Because \(C = 10\), \(B = 0.8*10 = 8\) and \(A = 1.25B = 1.25*8 = 10\). The difference between the price of medicine A and the price of medicine B \(= 10 - 8 = $2\).

Answer: C
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New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
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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

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Re: M20-16 [#permalink]

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New post 04 Oct 2017, 05:42
+1 for C.
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Re: M20-16 [#permalink]

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New post 04 Oct 2017, 08:06
A/B=125/100
SO A/B=5/4
AND
B/C=80/100
SO B/C=4/5
THAT MEANS
A:B:C=5:4:5
ACCORDING TO QUESTION
5 PART=10
1 PART=2

SO THAT
A=10 AND B=8
AND DIFFERENCE IS 10-8=2
ANS = 2
OPTION = C

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Re: M20-16   [#permalink] 04 Oct 2017, 08:06
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