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Each of the pair of shoes available in a store is either Reebok or Adi
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24 Mar 2023, 08:36
24 Mar 2023, 08:36
1
Expert Reply
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100% (02:50) correct
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Each of the pair of shoes available in a store is 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’s stock was that of Adidas shoes, if total 12% of the store’s stock was on sale?
16 2/3 %
20 %
33 1/3 %
40 %
60 %
16 2/3 %
20 %
33 1/3 %
40 %
60 %
GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1053
GPA: 3.39
Re: Each of the pair of shoes available in a store is either Reebok or Adi
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30 Mar 2023, 09:27
30 Mar 2023, 09:27
2
Expert Reply
Let's assume that the store has 100 shoes in total. Let's also assume that there are r Reebok shoes and a Adidas shoes in the store.
According to the problem statement, 10% of the Reebok shoes and 15% of the Adidas shoes were on sale. Therefore, the number of shoes on sale is:
0.1r + 0.15a
The total percentage of shoes on sale is given to be 12%. Therefore, we can set up the following equation:
(0.1r + 0.15a) / 100 = 0.12
Simplifying this equation, we get:
0.1r + 0.15a = 12
Now, we can use the fact that the store has a total of 100 shoes to relate r and a. That is:
r + a = 100
Solving for r, we get:
r = 100 - a
Substituting this expression for r into the equation above, we get:
0.1(100 - a) + 0.15a = 12
Simplifying this equation, we get:
10 - 0.1a + 0.15a = 12
0.05a = 2
a = 40
Therefore, the store has 40 Adidas shoes out of a total of 100 shoes, which means that the percentage of Adidas shoes in the store is:
40/100 × 100% = 40%
So, the answer is option (D) 40%.
According to the problem statement, 10% of the Reebok shoes and 15% of the Adidas shoes were on sale. Therefore, the number of shoes on sale is:
0.1r + 0.15a
The total percentage of shoes on sale is given to be 12%. Therefore, we can set up the following equation:
(0.1r + 0.15a) / 100 = 0.12
Simplifying this equation, we get:
0.1r + 0.15a = 12
Now, we can use the fact that the store has a total of 100 shoes to relate r and a. That is:
r + a = 100
Solving for r, we get:
r = 100 - a
Substituting this expression for r into the equation above, we get:
0.1(100 - a) + 0.15a = 12
Simplifying this equation, we get:
10 - 0.1a + 0.15a = 12
0.05a = 2
a = 40
Therefore, the store has 40 Adidas shoes out of a total of 100 shoes, which means that the percentage of Adidas shoes in the store is:
40/100 × 100% = 40%
So, the answer is option (D) 40%.
gmatclubot
Re: Each of the pair of shoes available in a store is either Reebok or Adi [#permalink]
30 Mar 2023, 09:27
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