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

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

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

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

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

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New post 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\(\frac{6}{7}\)%
Answer C...

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Re: A merchant has selected two items to be placed on sale, one   [#permalink] 17 May 2017, 12:31

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

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