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# M10-30

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Math Expert
Joined: 02 Sep 2009
Posts: 57155

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16 Sep 2014, 00:43
1
1
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Difficulty:

5% (low)

Question Stats:

89% (01:27) correct 11% (01:32) wrong based on 46 sessions

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Product A is 10 percent more expensive than Product B. Product B is 10 percent cheaper than Product C. If the price of the Product C is $300, how much cheaper is Product B than Product A? A.$2.00
B. $3.00 C.$9.00
D. $15.00 E.$27.00

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Math Expert
Joined: 02 Sep 2009
Posts: 57155

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16 Sep 2014, 00:43
1
Official Solution:

Product A is 10 percent more expensive than Product B. Product B is 10 percent cheaper than Product C. If the price of the Product C is $300, how much cheaper is Product B than Product A? A.$2.00
B. $3.00 C.$9.00
D. $15.00 E.$27.00

$$A = 1.1B; B = 0.9C$$. Therefore $$A = 1.1*0.9C = 0.99C$$. If $$C$$ is $300 then $$A$$ is$297 and $$B$$ is $270. $$B$$ is$27 cheaper than $$A$$.

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Intern
Joined: 09 Nov 2017
Posts: 2

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11 Aug 2019, 10:39
Bunuel Can I consider C to be 10% more expensive than B. Is that correct? and then equate A and C
Re: M10-30   [#permalink] 11 Aug 2019, 10:39
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# M10-30

Moderators: chetan2u, Bunuel