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# A merchant has selected two items to be placed on sale, one

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Intern
Joined: 25 Mar 2013
Posts: 1

Kudos [?]: 1 [1], given: 12

A merchant has selected two items to be placed on sale, one [#permalink]

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28 Mar 2013, 10:43
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Question Stats:

81% (01:03) correct 19% (01:19) wrong based on 118 sessions

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A merchant has selected two items to be placed on sale, one of which currently sells for 30 percent less than the other. If he wishes to raise the price of the cheaper item so that the two items are equally priced, by what percentage must he raise the price of the less expensive item?

A. 22 %
B. 30%
C. 42 6/7%
D. 70%
E. 130%
[Reveal] Spoiler: OA

Last edited by Bunuel on 28 Mar 2013, 10:47, edited 1 time in total.
Edited the question and added the OA.

Kudos [?]: 1 [1], given: 12

Math Expert
Joined: 02 Sep 2009
Posts: 41892

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Re: A merchant has selected two items to be placed on sale, one [#permalink]

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28 Mar 2013, 10:53
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witheo wrote:
A merchant has selected two items to be placed on sale, one of which currently sells for 30 percent less than the other. If he wishes to raise the price of the cheaper item so that the two items are equally priced, by what percentage must he raise the price of the less expensive item?

A. 22 %
B. 30%
C. 42 6/7%
D. 70%
E. 130%

Expensive item = $100; Cheap item =$70;

We must increase $70 to$100, so by $30, which is approximately 40% increase: (100-70)/70 = 3/7 = ~0.42. Answer: C. P.S. Please provide OA when posting a question. _________________ Kudos [?]: 129148 [1], given: 12194 GMAT Club Legend Joined: 09 Sep 2013 Posts: 16585 Kudos [?]: 273 [0], given: 0 Re: A merchant has selected two items to be placed on sale, one [#permalink] ### Show Tags 29 Mar 2017, 06:43 Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________ Kudos [?]: 273 [0], given: 0 Director Joined: 22 May 2016 Posts: 820 Kudos [?]: 266 [0], given: 552 Re: A merchant has selected two items to be placed on sale, one [#permalink] ### Show Tags 19 Apr 2017, 16:21 witheo wrote: A merchant has selected two items to be placed on sale, one of which currently sells for 30 percent less than the other. If he wishes to raise the price of the cheaper item so that the two items are equally priced, by what percentage must he raise the price of the less expensive item? A. 22 % B. 30% C. 42 6/7% D. 70% E. 130% You can also use the inverse proportion method outlined by Chris L at Magoosh, https://magoosh.com/gre/2012/inverse-proportions-on-the-gre-the-flip-it-method Assume both items were priced at 100. One is now at 70. If an item has decreased 30%, it is at 70%, or 70/100, or 7/10 of original value. Flip 7/10 to 10/7 in order to figure out by what percent the now-discounted item must increase to return to original value. 10/7 = 1.428571… Ignore the 1 (it's already the value of the item after it has decreased by 30%). .428571.. ≈ 42%. Answer C. Kudos [?]: 266 [0], given: 552 Director Joined: 04 Dec 2015 Posts: 696 Kudos [?]: 303 [0], given: 261 Location: India Concentration: Technology, Strategy Schools: ISB '19, IIMA , IIMB, XLRI WE: Information Technology (Consulting) Re: A merchant has selected two items to be placed on sale, one [#permalink] ### Show Tags 17 May 2017, 13:31 A merchant has selected two items to be placed on sale, one of which currently sells for 30 percent less than the other. If he wishes to raise the price of the cheaper item so that the two items are equally priced, by what percentage must he raise the price of the less expensive item? A. 22 % B. 30% C. 42 6/7% D. 70% E. 130% Let the price of one item be =$100
Price of second item = 30% less than first item = 70% of 100 = $$\frac{70}{100}$$ x 100 = $70 Price to be increased of cheaper item to be equally priced =$ 30
Percent to be increased for less expensive item = 30 = $$\frac{x}{100}$$ x 70
x = $$\frac{30* 100}{70}$$ = 42$$\frac{6}{7}$$%

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Re: A merchant has selected two items to be placed on sale, one   [#permalink] 17 May 2017, 13:31
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