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

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Joined: 25 Mar 2013
Posts: 1
A merchant has selected two items to be placed on sale, one  [#permalink]

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Updated on: 28 Mar 2013, 09:47
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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%

Originally posted by witheo on 28 Mar 2013, 09:43.
Last edited by Bunuel on 28 Mar 2013, 09:47, edited 1 time in total.
Edited the question and added the OA.
Math Expert
Joined: 02 Sep 2009
Posts: 65845
Re: A merchant has selected two items to be placed on sale, one  [#permalink]

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28 Mar 2013, 09:53
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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. _________________ Senior SC Moderator Joined: 22 May 2016 Posts: 4015 Re: A merchant has selected two items to be placed on sale, one [#permalink] Show Tags 19 Apr 2017, 15:21 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. _________________ Visit SC Butler, here! Get two SC questions to practice, whose links you can find by date. Our lives begin to end the day we become silent about things that matter. -- Dr. Martin Luther King, Jr. BLACK LIVES MATTER. Director Joined: 04 Dec 2015 Posts: 723 Location: India Concentration: Technology, Strategy WE: Information Technology (Consulting) Re: A merchant has selected two items to be placed on sale, one [#permalink] Show Tags 17 May 2017, 12:31 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, 12:31