Last visit was: 19 Nov 2025, 04:01 It is currently 19 Nov 2025, 04:01
Close
GMAT 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 GMAT 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
555-605 Level|   Math Related|            
User avatar
guddo
Joined: 25 May 2021
Last visit: 30 Oct 2025
Posts: 360
Own Kudos:
8,663
 [30]
Given Kudos: 19
Posts: 360
Kudos: 8,663
 [30]
Kudos
Add Kudos
30
Bookmarks
Bookmark this Post
User avatar
chetan2u
User avatar
GMAT Expert
Joined: 02 Aug 2009
Last visit: 15 Nov 2025
Posts: 11,238
Own Kudos:
43,702
 [1]
Given Kudos: 335
Status:Math and DI Expert
Location: India
Concentration: Human Resources, General Management
GMAT Focus 1: 735 Q90 V89 DI81
Products:
Expert
Expert reply
GMAT Focus 1: 735 Q90 V89 DI81
Posts: 11,238
Kudos: 43,702
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
thesunnyguy
Joined: 27 Sep 2024
Last visit: 02 Jan 2025
Posts: 4
Own Kudos:
22
 [2]
Given Kudos: 37
Posts: 4
Kudos: 22
 [2]
1
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
User avatar
Bismuth83
User avatar
DI Forum Moderator
Joined: 15 Sep 2024
Last visit: 01 Aug 2025
Posts: 719
Own Kudos:
Given Kudos: 441
Expert
Expert reply
Posts: 719
Kudos: 2,606
Kudos
Add Kudos
Bookmarks
Bookmark this Post
1. We are given loan X and loan Y with principals $x and $y, respectively. We need to find the possible values of the principals.

2. Let's start the problem with the equation that r = 5 instead of writing out the formulas for the loans. Then:

\( r = 5 \rightarrow \frac{4x + 8y}{x + y} = 5 \rightarrow 4x + 8y = 5x + 5y \rightarrow 3y = x \)

3. Looking at the answers, for x to be there then y needs to be either 21,000 or 32,000.

  • \( y = 21,000 \rightarrow x = 63,000\), which isn't in the answers.

  • \( y = 32,000 \rightarrow x = 96,000\), which is in the answers.

4. So, our answer is: x = 96,000 and y = 32,000.
User avatar
nafuzzz
Joined: 04 Aug 2024
Last visit: 17 Nov 2025
Posts: 109
Own Kudos:
Given Kudos: 36
Location: Bangladesh
Concentration: Entrepreneurship
Posts: 109
Kudos: 94
Kudos
Add Kudos
Bookmarks
Bookmark this Post
X is 96,000
Y is 32,000
Was fun to solve
User avatar
Dbrunik
Joined: 13 Apr 2024
Last visit: 01 Nov 2025
Posts: 270
Own Kudos:
Given Kudos: 267
Location: United States (MN)
Concentration: Finance, Technology
GMAT Focus 1: 625 Q84 V82 DI77
GMAT Focus 1: 625 Q84 V82 DI77
Posts: 270
Kudos: 124
Kudos
Add Kudos
Bookmarks
Bookmark this Post
okay, so i admittedly got this question wrong, but i think its a great question. heres why:

In TPA. there are going to be a lot of different options. here, you can test all the different cases until you come out with a 5. This is super intuitive because they present the formula to you. So, more or less anybody can just start plugging in values. this may work, but it will require a lot of time and testing to get it to work.

This is the key takeaway, these TPA problems that are testing weighted average or different variables, often are not wanting you to do more than a little bit of algebra. you need to simplify the equation given, and with that new information, determine some relationship with the variables, and you need to use the answer choices to help you solve.
Moderators:
Math Expert
105379 posts
496 posts