Last visit was: 23 Apr 2026, 23:09 It is currently 23 Apr 2026, 23:09
Home
Messages
Tests
Schools
Events
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 23 Apr 2026
Posts: 109,802
Own Kudos:
810,894
 [7]
Given Kudos: 105,868
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,802
Kudos: 810,894
 [7]
A bag of rice is currently priced at $320 and a bag of wheat at $580. 29 Oct 2021, 06:45
1
Kudos
Add Kudos
6
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

55% (hard)

Question Stats:

68% (02:46) correct 32% (02:43) wrong based on 210 sessions

History

Date
Time
Result
Not Attempted Yet
A bag of rice is currently priced at $320 and a bag of wheat at $580. The price of rice is increasing at a constant rate of 5x dollars per day while the price of wheat is decreasing at a constant rate of 7x dollars per day. What is the approximate price when a bag of rice costs the same as a bag of wheat?

A. $450
B. $460
C. $530
D. $420
E. $970
ShowHide Answer
Official Answer
D
User avatar
Abhishekgmat87
User avatar
Joined: 08 Aug 2021
Last visit: 21 Mar 2023
Posts: 232
Own Kudos:
193
 [3]
Given Kudos: 160
Location: India
Concentration: Finance, Strategy
GMAT 1: 650 Q50 V28
GMAT 2: 670 Q49 V32
WE:Marketing (Insurance)
GMAT 2: 670 Q49 V32
Posts: 232
Kudos: 193
 [3]
A bag of rice is currently priced at $320 and a bag of wheat at $580. 29 Oct 2021, 09:09
1
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
Bunuel
A bag of rice is currently priced at $320 and a bag of wheat at $580. The price of rice is increasing at a constant rate of 5x dollars per day while the price of wheat is decreasing at a constant rate of 7x dollars per day. What is the approximate price when a bag of rice costs the same as a bag of wheat?

A. $450
B. $460
C. $530
D. $420
E. $970
Show more

320 + 5x = 580 - 7x
12x = 260,
x = 65/3

The price will be 320 + 5x which comes to 428
420 is closest . D is the answer

Posted from my mobile device
avatar
Kalli1
avatar
Joined: 10 Oct 2021
Last visit: 24 Dec 2023
Posts: 9
Own Kudos:
10
 [3]
Given Kudos: 36
Posts: 9
Kudos: 10
 [3]
A bag of rice is currently priced at $320 and a bag of wheat at $580. 31 Oct 2021, 07:04
3
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Without solving , there is a distance of 260 between the two prices. If we add or subtract 130 of each price we end up in 450 something that cannot happen because wheat descrease is faster than rice increase. So , D
User avatar
Kinshook
User avatar
Major Poster
Joined: 03 Jun 2019
Last visit: 23 Apr 2026
Posts: 5,987
Own Kudos:
5,858
 [1]
Given Kudos: 163
Location: India
Schools: HBS '26 CBS '26 Wharton '26
GMAT 1: 690 Q50 V34
WE:Engineering (Transportation)
Products:
My Reviews
Schools: HBS '26 CBS '26 Wharton '26
GMAT 1: 690 Q50 V34
Posts: 5,987
Kudos: 5,858
 [1]
A bag of rice is currently priced at $320 and a bag of wheat at $580. 21 Nov 2022, 18:51
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Given: A bag of rice is currently priced at $320 and a bag of wheat at $580. The price of rice is increasing at a constant rate of 5x dollars per day while the price of wheat is decreasing at a constant rate of 7x dollars per day.

Asked: What is the approximate price when a bag of rice costs the same as a bag of wheat?

Condition when both prices are same: -
320 + 5x = 580 - 7x
12x = 260
x = 260/12 = 21 2/3

The approximate price when a bag of rice costs the same as a bag of wheat = 320 + 5*21 2/3 = 320 + 105 + 3 1/3 = 428 1/3

IMO D
User avatar
Adarsh_24
User avatar
Joined: 06 Jan 2024
Last visit: 03 Apr 2025
Posts: 240
Own Kudos:
65
 [1]
Given Kudos: 2,015
Posts: 240
Kudos: 65
 [1]
A bag of rice is currently priced at $320 and a bag of wheat at $580. 04 Oct 2024, 00:27
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Feel free to correct me if I’m wrong. But, I don’t think it was mentioned the prices were same the very next day.
I think Kalli1’s method is the right one.

320+5xd=580-7xd will be the equation and we would get 260=12xd. Where d is the no of days passed.
User avatar
agrasan
User avatar
Joined: 18 Jan 2024
Last visit: 23 Apr 2026
Posts: 676
Own Kudos:
174
Given Kudos: 6,480
Location: India
Posts: 676
Kudos: 174
A bag of rice is currently priced at $320 and a bag of wheat at $580. 11 Aug 2025, 07:22
Kudos
Add Kudos
Bookmarks
Bookmark this Post
A bag of rice is currently priced at $320 and a bag of wheat at $580. The price of rice is increasing at a constant rate of 5x dollars per day while the price of wheat is decreasing at a constant rate of 7x dollars per day. What is the approximate price when a bag of rice costs the same as a bag of wheat?

We can do this question without solving just using the logic.
We know that magnitude of rate of increase for rice bag is slower than rate of decrease for wheat bag.

(A) 450 is not possible because it is gain of 160 for rice and loss of 160 for wheat but we have uneven rates of increase/decrease.

(B) 460 is not possible because it is gain of 160 for rice but a decrease of 120 for wheat but we know that wheat decrease rate is greater than rice increase rate.

(C) 530 is not possible due to same logic as (B)

(D) 420 is the only feasible option, it is gain of 100 for rice but a decrease of 160 for wheat, makes sense based on magnitude of rates for rice and wheat.

(E) 970, it is not at all possible

(D) is the answer
Moderators:
Bunuel
Math Expert
109802 posts
Krunaal
Tuck School Moderator
853 posts