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

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

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New post 23 Mar 2019, 00:35
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Question Stats:

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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%
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Re: Each of the pair of shoes available in a store is of either Reebok  [#permalink]

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New post 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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Re: Each of the pair of shoes available in a store is of either Reebok  [#permalink]

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New post 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
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Re: Each of the pair of shoes available in a store is of either Reebok  [#permalink]

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New post 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
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Re: Each of the pair of shoes available in a store is of either Reebok  [#permalink]

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New post 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%

Answer: D
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Re: Each of the pair of shoes available in a store is of either Reebok  [#permalink]

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New post 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?
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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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