Last visit was: 12 Nov 2024, 15:51 It is currently 12 Nov 2024, 15:51

Close

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

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GRE score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel
Verbal Expert
Joined: 18 Apr 2015
Posts: 29944
Own Kudos [?]: 36204 [7]
Given Kudos: 25902
Send PM
Manager
Manager
Joined: 18 Jan 2021
Posts: 81
Own Kudos [?]: 20 [0]
Given Kudos: 103
Send PM
Senior Manager
Senior Manager
Joined: 03 Dec 2020
Posts: 440
Own Kudos [?]: 60 [0]
Given Kudos: 68
Send PM
Verbal Expert
Joined: 18 Apr 2015
Posts: 29944
Own Kudos [?]: 36204 [1]
Given Kudos: 25902
Send PM
Re: Decreasing the original price of an item by 25% and then decreasing th [#permalink]
Expert Reply
1
Bookmarks
koala wrote:
The answer should be D as
1. 25% decrease = 75% price of an item
2. z% decrease = 1-z/100 price of an item
and finally product of 1 and 2


If the answer would be D you had a decrease of 75% and NOT 25%
Retired Moderator
Joined: 02 Dec 2020
Posts: 1833
Own Kudos [?]: 2146 [1]
Given Kudos: 140
GRE 1: Q168 V157

GRE 2: Q167 V161
Send PM
Re: Decreasing the original price of an item by 25% and then decreasing th [#permalink]
1
In these kinds of questions, it is always safe to assume numbers.

Let's say the initial price \(= 100\) & \(z = 20\)

decreasing by \(25\)% so the price \(= 75\)

Now, decreasing the new price by \(z\)%\( = 20\)%

Final price \(= (1 - \frac{20}{100})*75 = 60\)

Now, we have the final price \(= 60\) and in the question, it is asked that \(60\) is equivalent to reducing the initial price by how much? In our case, it will be \(40\)% You can put \(z = 20\) and the answer with \(40\) is correct.

Answer A
Manager
Manager
Joined: 18 Jan 2021
Posts: 81
Own Kudos [?]: 20 [0]
Given Kudos: 103
Send PM
Re: Decreasing the original price of an item by 25% and then decreasing th [#permalink]
rx10 wrote:
In these kinds of questions, it is always safe to assume numbers.

Let's say the initial price \(= 100\) & \(z = 20\)

decreasing by \(25\)% so the price \(= 75\)

Now, decreasing the new price by \(z\)%\( = 20\)%

Final price \(= (1 - \frac{20}{100})*75 = 60\)

Now, we have the final price \(= 60\) and in the question, it is asked that \(60\) is equivalent to reducing the initial price by how much? In our case, it will be \(40\)% You can put \(z = 20\) and the answer with \(40\) is correct.

Answer A


I understood the solution but can you please tell me where did I go wrong? So that I don't repeat it.
Retired Moderator
Joined: 02 Dec 2020
Posts: 1833
Own Kudos [?]: 2146 [1]
Given Kudos: 140
GRE 1: Q168 V157

GRE 2: Q167 V161
Send PM
Decreasing the original price of an item by 25% and then decreasing th [#permalink]
1
Sir,

What you did was like you multiplied the discounted prices. This can be seen as a problem with successive discounts.

Let's say if we are given a successive discount of x% & y% for a certain product, the final discount will be \((x + y - \frac{xy}{100})\)% but not \(xy\)%

koala wrote:

I understood the solution but can you please tell me where did I go wrong? So that I don't repeat it.
Manager
Manager
Joined: 23 Sep 2023
Posts: 65
Own Kudos [?]: 13 [0]
Given Kudos: 59
Send PM
Re: Decreasing the original price of an item by 25% and then decreasing th [#permalink]
rx10 wrote:
Sir,

What you did was like you multiplied the discounted prices. This can be seen as a problem with successive discounts.

Let's say if we are given a successive discount of x% & y% for a certain product, the final discount will be \((x + y - \frac{xy}{100})\)% but not \(xy\)%

koala wrote:

I understood the solution but can you please tell me where did I go wrong? So that I don't repeat it.


Sir, I didn't understand this explanation. Please guide.

With your assusmptions only, if the price is 100, and 25% disc is applied, then the new price is 75. The z% disc is applied. So, new price = (1-z/100) * 75
Verbal Expert
Joined: 18 Apr 2015
Posts: 29944
Own Kudos [?]: 36204 [0]
Given Kudos: 25902
Send PM
Re: Decreasing the original price of an item by 25% and then decreasing th [#permalink]
Expert Reply
Decreasing the original price of an item by 25%...................is equivalent to decreasing the original price by

It is 0.25. Because you are decreasing by 25% so the decrease is 25. 75 on the other hand is the end result.

By the question is asking you the decreasing. the unit in terms of % when you go from 100 to 75 and this gap is 25%
Prep Club for GRE Bot
Re: Decreasing the original price of an item by 25% and then decreasing th [#permalink]
Moderators:
GRE Instructor
78 posts
GRE Forum Moderator
37 posts
Moderator
1111 posts
GRE Instructor
234 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne