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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
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Question Stats:
46% (03:00) correct
53% (02:47) wrong based on 13 sessions
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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 %
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16 2/3 %
20 %
33 1/3 %
40 %
60 %
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) GRE - Quant Daily Topic-wise Challenge
\(\Longrightarrow\) GRE OVERLAPPING SETS
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Joined: 20 Feb 2017
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Re: Each of the pair of shoes available in a store is either Reebok or Adi
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10 Apr 2023, 09:43
10 Apr 2023, 09:43
1
Expert Reply
Let's denote the percentage of Reebok shoes in the store as "R" and the percentage of Adidas shoes in the store as "A".
Given that 10% of Reebok shoes and 15% of Adidas shoes are on sale, we can calculate the percentage of the store's stock that is on sale as the sum of these two percentages:
10% of R + 15% of A = 12%
Now, let's assume that the percentage of the store's stock that is not on sale is "x". Since the total percentage must add up to 100%, we can write:
100% - 12% = x
x = 88%
This means that 88% of the store's stock is not on sale.
Since the store's stock is composed of either Reebok or Adidas shoes, the sum of the percentages of Reebok and Adidas shoes must be 100%:
R + A = 100%
Now we can solve these two equations simultaneously to find the percentage of Adidas shoes in the store:
10% of R + 15% of A = 12%
R + A = 100%
Using these equations, we can solve for A, the percentage of Adidas shoes:
10% of R + 15% of A = 12%
0.10R + 0.15A = 12% (dividing both sides by 100 to convert percentages to decimals)
R + A = 100%
R = 100% - A (rearranging the second equation to express R in terms of A)
0.10(100% - A) + 0.15A = 12% (substituting R from the rearranged second equation into the first equation)
10% - 0.10A + 0.15A = 12%
0.05A = 2%
A = (2% / 0.05) = 40%
So, the percentage of the store's stock that is composed of Adidas shoes is 40%.
Given that 10% of Reebok shoes and 15% of Adidas shoes are on sale, we can calculate the percentage of the store's stock that is on sale as the sum of these two percentages:
10% of R + 15% of A = 12%
Now, let's assume that the percentage of the store's stock that is not on sale is "x". Since the total percentage must add up to 100%, we can write:
100% - 12% = x
x = 88%
This means that 88% of the store's stock is not on sale.
Since the store's stock is composed of either Reebok or Adidas shoes, the sum of the percentages of Reebok and Adidas shoes must be 100%:
R + A = 100%
Now we can solve these two equations simultaneously to find the percentage of Adidas shoes in the store:
10% of R + 15% of A = 12%
R + A = 100%
Using these equations, we can solve for A, the percentage of Adidas shoes:
10% of R + 15% of A = 12%
0.10R + 0.15A = 12% (dividing both sides by 100 to convert percentages to decimals)
R + A = 100%
R = 100% - A (rearranging the second equation to express R in terms of A)
0.10(100% - A) + 0.15A = 12% (substituting R from the rearranged second equation into the first equation)
10% - 0.10A + 0.15A = 12%
0.05A = 2%
A = (2% / 0.05) = 40%
So, the percentage of the store's stock that is composed of Adidas shoes is 40%.
Re: Each of the pair of shoes available in a store is either Reebok or Adi
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29 Apr 2024, 02:42
29 Apr 2024, 02:42
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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