Last visit was: 25 Nov 2024, 17:31 It is currently 25 Nov 2024, 17:31
Home
GMAT
Messages
Tests
Schools
Reviews
Social
Chat
My Profile
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: 25 Nov 2024
Posts: 97,258
Own Kudos:
680,463
 [7]
Given Kudos: 88,110
Products:
GMAT Club Tests Forum Quiz
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 97,258
Kudos: 680,463
 [7]
A merchant has 1000 kg of sugar part of which he sells at 8% profit an 04 Jun 2020, 00:44
Kudos
Add Kudos
7
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

35% (medium)

Question Stats:

74% (01:42) correct 26% (02:23) wrong based on 141 sessions

History

Date
Time
Result
Not Attempted Yet
A merchant has 1000 kg of sugar part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The Quantity sold at 18% profit is

A. 300
B. 400
C. 600
D. 500
E. 700
ShowHide Answer
Official Answer
C
User avatar
yashikaaggarwal
User avatar
Senior Moderator - Masters Forum
Joined: 19 Jan 2020
Last visit: 16 Nov 2024
Posts: 3,117
Own Kudos:
2,879
 [2]
Given Kudos: 1,510
Location: India
Schools: Cranfield (A) Warwick MiM "23 (M)
GPA: 4
WE:Analyst (Internet and New Media)
Schools: Cranfield (A) Warwick MiM "23 (M)
Posts: 3,117
Kudos: 2,879
 [2]
A merchant has 1000 kg of sugar part of which he sells at 8% profit an 04 Jun 2020, 00:52
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
IMO C

Let the quantity sold at 8% profit = x
And the quantity sold at 18% profit = y.
=> 108*x/100+118*y/100 = (x+y)*114/100
=> 108x+118y=114x+114y
=> 4y = 6x => 2y = 3x
=> x/y = 2/3
=> therefore, x:y = 2:3
=> dividing 1000 in 2:3 ratio we get y = 600 (1000*3/5)
The quantity sold at 18% profit= 600

Posted from my mobile device
User avatar
gurmukh
User avatar
Joined: 18 Dec 2017
Last visit: 09 Nov 2024
Posts: 268
Own Kudos:
229
 [2]
Given Kudos: 20
Posts: 268
Kudos: 229
 [2]
A merchant has 1000 kg of sugar part of which he sells at 8% profit an 04 Jun 2020, 00:53
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
8x +18y =14(x+y)
4y=6x
x:y= 2:3
Quantity sold at 18% profit =
3/5×1000
=600
Option C is the answer

Posted from my mobile device
User avatar
NitishJain
User avatar
IESE School Moderator
Joined: 11 Feb 2019
Last visit: 24 Oct 2023
Posts: 270
Own Kudos:
182
 [2]
Given Kudos: 53
Posts: 270
Kudos: 182
 [2]
A merchant has 1000 kg of sugar part of which he sells at 8% profit an 04 Jun 2020, 03:29
1
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
IMO C

Let the quantity sold at 18% profit = x
Quantity sold at 8% profit= 1000 -x
Overall Profit = 14%

=> 1.18x + 1.08(1000-x) = 1.14 * 10000
Solving for x, x= 600
User avatar
satya2029
User avatar
Joined: 10 Dec 2017
Last visit: 21 Nov 2024
Posts: 233
Own Kudos:
222
 [1]
Given Kudos: 135
Location: India
Posts: 233
Kudos: 222
 [1]
A merchant has 1000 kg of sugar part of which he sells at 8% profit an 04 Jun 2020, 03:42
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
A merchant has 1000 kg of sugar part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The Quantity sold at 18% profit is

A. 300
B. 400
C. 600
D. 500
E. 700
say 8% profit- small part, 18% profit big part
8.....14......18
B/S=3/2
B/B+S=3/5
B/1000=3/5
B=600
C:)
avatar
ritwikk2
avatar
Joined: 16 Mar 2020
Last visit: 06 Apr 2021
Posts: 29
Own Kudos:
1
Given Kudos: 10
Posts: 29
Kudos: 1
A merchant has 1000 kg of sugar part of which he sells at 8% profit an 04 Jun 2020, 04:19
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Typical mixture problem.

Difference in percentage profit of both parts:
10%

Mid point: 13% can be achieved by 500 kg each.

Therefore, we need the closest option just above 100.

Only option is 600. (C)

Posted from my mobile device
User avatar
dimri10
User avatar
Joined: 16 May 2011
Last visit: 25 Sep 2023
Posts: 240
Own Kudos:
318
 [1]
Given Kudos: 64
Concentration: Finance, Real Estate
GMAT Date: 12-27-2011
WE:Law (Law)
Posts: 240
Kudos: 318
 [1]
A merchant has 1000 kg of sugar part of which he sells at 8% profit an 04 Jun 2020, 04:46
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
8 is -6 than verage
14 average
18 is + 4 of average
So the 1000 will be divided at a rate of 4 to 6 or 400 to 600.
Since 18 is closer to the average the bigger part =600 will be attributed to it

Posted from my mobile device
User avatar
Jawad001
User avatar
Joined: 14 Sep 2019
Last visit: 10 Nov 2022
Posts: 219
Own Kudos:
144
 [1]
Given Kudos: 31
Posts: 219
Kudos: 144
 [1]
A merchant has 1000 kg of sugar part of which he sells at 8% profit an 05 Jun 2020, 22:38
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
A merchant has 1000 kg of sugar part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The Quantity sold at 18% profit is

A. 300
B. 400
C. 600
D. 500
E. 700

Solution:
Let, Cost price per kg sugar = Tk.1
Therefore, Cost of 1000 kg of sugar = Tk. 1000
Suppose, quantity sold at 18% profit = x kg and quantity sold at 8% profit = (1000 – x) kg

Now,
18x/100 + 8*(1000 – x)/100 = 18*1000/100
Or, 10x + 8000 = 18000
Or, 10x = 6000
Or, x = 600
Answer: 600
User avatar
Shrey08
User avatar
Joined: 04 Mar 2020
Last visit: 06 Apr 2024
Posts: 130
Own Kudos:
141
Given Kudos: 304
Location: India
GMAT 1: 640 Q47 V30
GMAT 1: 640 Q47 V30
Posts: 130
Kudos: 141
A merchant has 1000 kg of sugar part of which he sells at 8% profit an 19 Jun 2020, 03:45
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
A merchant has 1000 kg of sugar part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The Quantity sold at 18% profit is

A. 300
B. 400
C. 600
D. 500
E. 700

Solve using Weighted average:

A = Part which he sells at 8% profit
Qty. of A W1
B = Part which he sells at 18% profit
Qty. of B W2

The 2 quantities are sold at 14% profit.
So Avg = 14%

\(\frac{W1}{W2 } = \frac{(B-Avg)}{(Avg-A)}\)

\(= \frac{(18-14)}{(14-8)}\)

\(\frac{W1}{W2 }= \frac{2}{3}\)


\(W2 = \frac{3}{5} * 1000\)

W2 = 600
Option C
User avatar
Emdad
User avatar
Joined: 14 Nov 2020
Last visit: 20 Nov 2024
Posts: 165
Own Kudos:
604
 [3]
Given Kudos: 56
Location: Bangladesh
Posts: 165
Kudos: 604
 [3]
A merchant has 1000 kg of sugar part of which he sells at 8% profit an 07 Oct 2021, 15:20
3
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
A merchant has 1000 kg of sugar part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The Quantity sold at 18% profit is

A. 300
B. 400
C. 600
D. 500
E. 700

The answer is C.

Posted from my mobile device
Attachments

2021-10-08 04-17_page_1.jpg
2021-10-08 04-17_page_1.jpg [ 86.48 KiB | Viewed 12527 times ]

User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 35,657
Own Kudos:
918
Posts: 35,657
Kudos: 918
A merchant has 1000 kg of sugar part of which he sells at 8% profit an 05 Nov 2024, 23:20
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Hello from the GMAT Club BumpBot!

Thanks to another GMAT 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).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Moderator:
Bunuel
Math Expert
97258 posts