GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Each of the pair of shoes available in a store is either Reebok or Adi
[#permalink]
24 Mar 2023, 08:36
24 Mar 2023, 08:36
1
Expert Reply
00:00
Question Stats:
100% (02:50) correct
0% (00:00) wrong based on 3 sessions
Hide Show timer Statistics
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: 2506
Given Kudos: 1053
GPA: 3.39
Re: Each of the pair of shoes available in a store is either Reebok or Adi
[#permalink]
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
Moderators:
