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# Each of the pair of shoes available in a store is of either Reebok

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Director
Joined: 18 Feb 2019
Posts: 607
Location: India
GMAT 1: 460 Q42 V13
GPA: 3.6
Each of the pair of shoes available in a store is of either Reebok  [#permalink]

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23 Mar 2019, 00:35
6
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Difficulty:

35% (medium)

Question Stats:

70% (02:04) correct 30% (02:33) wrong based on 83 sessions

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Each of the pair of shoes available in a store is of either Reebok or Adidas. Due to off-season 10% of the Reebok and 15% of the Adidas shoes were on sale. What percentage of the store stock was of Adidas shoes, if 12% of the store's stock was on sale?

A. 16.66%
B. 20%
C. 33.33%
D. 40%
E. 50%
Math Expert
Joined: 02 Aug 2009
Posts: 8320
Re: Each of the pair of shoes available in a store is of either Reebok  [#permalink]

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23 Mar 2019, 02:13
kiran120680 wrote:
Each of the pair of shoes available in a store is of either Reebok or Adidas. Due to off-season 10% of the Reebok and 15% of the Adidas shoes were on sale. What percentage of the store stock was of Adidas shoes, if 12% of the store's stock was on sale?

A. 16.66%
B. 20%
C. 33.33%
D. 40%
E. 50%

This is a typical weighted average method...
Quantity of Adidas as a % of total = $$\frac{12-10}{15-10}*100=40$$%

D
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Joined: 18 Aug 2017
Posts: 5483
Location: India
Concentration: Sustainability, Marketing
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Re: Each of the pair of shoes available in a store is of either Reebok  [#permalink]

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23 Mar 2019, 09:48
kiran120680 wrote:
Each of the pair of shoes available in a store is of either Reebok or Adidas. Due to off-season 10% of the Reebok and 15% of the Adidas shoes were on sale. What percentage of the store stock was of Adidas shoes, if 12% of the store's stock was on sale?

A. 16.66%
B. 20%
C. 33.33%
D. 40%
E. 50%

weighted avg
10----12------15
so
%
12-10/15-10 * 100 = 40%
IMO D
Intern
Joined: 02 May 2019
Posts: 1
Re: Each of the pair of shoes available in a store is of either Reebok  [#permalink]

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02 May 2019, 14:12
chetan2u wrote:
kiran120680 wrote:
Each of the pair of shoes available in a store is of either Reebok or Adidas. Due to off-season 10% of the Reebok and 15% of the Adidas shoes were on sale. What percentage of the store stock was of Adidas shoes, if 12% of the store's stock was on sale?

A. 16.66%
B. 20%
C. 33.33%
D. 40%
E. 50%

This is a typical weighted average method...
Quantity of Adidas as a % of total = $$\frac{12-10}{15-10}*100=40$$%

D

Can you please explain this in details
Intern
Joined: 24 Feb 2019
Posts: 1
Re: Each of the pair of shoes available in a store is of either Reebok  [#permalink]

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02 May 2019, 15:17
1
kiran120680 wrote:
Each of the pair of shoes available in a store is of either Reebok or Adidas. Due to off-season 10% of the Reebok and 15% of the Adidas shoes were on sale. What percentage of the store stock was of Adidas shoes, if 12% of the store's stock was on sale?

A. 16.66%
B. 20%
C. 33.33%
D. 40%
E. 50%

R - Reebok; A - Adidas
Assume 100 shoes, 12 is on sale (12% of 100)
10% R + 15% A = 12
R + A = 100

A = 40 shoes
so A is 40%

Intern
Joined: 17 Jul 2019
Posts: 2
Re: Each of the pair of shoes available in a store is of either Reebok  [#permalink]

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02 Sep 2019, 11:00
chetan2u wrote:
kiran120680 wrote:
Each of the pair of shoes available in a store is of either Reebok or Adidas. Due to off-season 10% of the Reebok and 15% of the Adidas shoes were on sale. What percentage of the store stock was of Adidas shoes, if 12% of the store's stock was on sale?

A. 16.66%
B. 20%
C. 33.33%
D. 40%
E. 50%

This is a typical weighted average method...
Quantity of Adidas as a % of total = $$\frac{12-10}{15-10}*100=40$$%

D

Can someone please explain how this was done?
Re: Each of the pair of shoes available in a store is of either Reebok   [#permalink] 02 Sep 2019, 11:00
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# Each of the pair of shoes available in a store is of either Reebok

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