NEW HERE? LEARN MORE
closeclose
Last visit was: 24 Apr 2024, 21:06 It is currently 24 Apr 2024, 21:06
Decision Tracker
My Rewards
New posts
New comers' posts

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

A trader mixes two varieties of tea costing $40 per kg and $50 per kg

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92900
Own Kudos [?]: 618840 [3]
Given Kudos: 81588
Send PM
CAT Tests Forum Quiz Mode
A trader mixes two varieties of tea costing $40 per kg and $50 per kg [#permalink] New post   27 Mar 2020, 05:19
3
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

55% (hard)

Question Stats:

66% (02:10) correct 34% (02:30) wrong based on 210 sessions
Hide Show timer Statistics
A trader mixes two varieties of tea costing $40 per kg and $50 per kg in the ratio 5:4. If the mixture is then sold at $48 per kg, what is the profit made by the trader?

A. 5%
B. 7.5%
C. 8%
D. 10%
E. 12%
ShowHide Answer
Official Answer
C
Most Helpful Reply
User avatar
D
KSBGC
VP
VP
Joined: 31 Oct 2013
Posts: 1260
Own Kudos [?]: 1155 [5]
Given Kudos: 635
Concentration: Accounting, Finance
GPA: 3.68
WE:Analyst (Accounting)
Send PM
Re: A trader mixes two varieties of tea costing $40 per kg and $50 per kg [#permalink] New post   27 Mar 2020, 07:29
5
Kudos
Bunuel wrote:
A trader mixes two varieties of tea costing $40 per kg and $50 per kg in the ratio 5:4. If the mixture is then sold at $48 per kg, what is the profit made by the trader?

A. 5%
B. 7.5%
C. 8%
D. 10%
E. 12%



The best way to deal with this question is to find out cost price and selling price by using given ratio as kg.

first type tea is 5 kg and per kg is 40 taka
seceond type is 4 kg and price is 50 taka

cost price :

40 * 5 + 4*50 = 400

Selling price = total kg* selling price per kg = 9 * 48 = 432

profit = 32

profit % = 32/400 = 8%

C is for Covid 19
General Discussion
User avatar
D
Staphyk
Senior Manager
Senior Manager
Joined: 20 Mar 2018
Posts: 476
Own Kudos [?]: 352 [0]
Given Kudos: 149
Location: Ghana
Concentration: Finance, Statistics
GMAT 1: 710 Q49 V39
Send PM
Reviews Badge
A trader mixes two varieties of tea costing $40 per kg and $50 per kg [#permalink] New post   27 Mar 2020, 07:07
Selling price(SP)=$48
Cost price (CP) =?
Asked profit =SP -CP
Note answers is in % so we rather find the profit% =(SP-CP/CP)•100
Okay let’s go!
(50 - CP)/(CP - 40) = 5/4
9CP = 400 —> CP= $44.44
Profit % = ((48.00-44.44)/44.44)100
Profit % = 8.01 ~ 8%
Or
40——-CP———-50
4x————-5x
9x =10 —> x= 1.1111
So either 40+4(1.1111) =CP or
50-5(1.1111) =CP ,CP= $44.444
Profit % = 8%

C like Covid-19

Bunuel wrote:
A trader mixes two varieties of tea costing $40 per kg and $50 per kg in the ratio 5:4. If the mixture is then sold at $48 per kg, what is the profit made by the trader?

A. 5%
B. 7.5%
C. 8%
D. 10%
E. 12%


Posted from my mobile device
User avatar
L
hiranmay
Senior Manager
Senior Manager
Joined: 12 Dec 2015
Posts: 468
Own Kudos [?]: 543 [1]
Given Kudos: 84
Send PM
Re: A trader mixes two varieties of tea costing $40 per kg and $50 per kg [#permalink] New post   27 Mar 2020, 09:39
1
Kudos
A trader mixes two varieties of tea costing $40 per kg and $50 per kg in the ratio 5:4. If the mixture is then sold at $48 per kg, what is the profit made by the trader?

A. 5%
B. 7.5%
C. 8% --> correct: cost = (40*5x+50*4x)/(5x+4x)=$400/9, sale= $48, so profit % = ((sale/cost) -1)*100 = ((48*9/400)-1)*100 = (1.08-1)*100=8%
D. 10%
E. 12%
User avatar
B
quaes
Intern
Intern
Joined: 16 Nov 2013
Posts: 7
Own Kudos [?]: 1 [0]
Given Kudos: 0
Send PM
Re: A trader mixes two varieties of tea costing $40 per kg and $50 per kg [#permalink] New post   28 May 2020, 23:42
CP : SP = (5×40+4×50)/(5+4) : 48 = 400/9 : 48 = 400 : 432 =100 : 108

So, Profit% => (108-100) = 8%
User avatar
S
naveenban
Manager
Manager
Joined: 10 Oct 2017
Posts: 67
Own Kudos [?]: 54 [0]
Given Kudos: 14
Send PM
Re: A trader mixes two varieties of tea costing $40 per kg and $50 per kg [#permalink] New post   29 May 2020, 11:21
Cost - $40/Kg * 5 + $50/Kg * 4 = $400 / 9 Kg.
Sold =48 * 9 = 432.
Profit % = ( 432 - 400 ) * 100 / 400 = 8%
Option C
User avatar
B
Mannisha
Tutor
Joined: 14 Apr 2020
Posts: 25
Own Kudos [?]: 39 [2]
Given Kudos: 1
Location: India
Send PM
Re: A trader mixes two varieties of tea costing $40 per kg and $50 per kg [#permalink] New post   29 May 2020, 23:37
2
Bookmarks
Expert Reply
A trader mixes two varieties of tea costing $40 per kg and $50 per kg in the ratio 5:4. If the mixture is then sold at $48 per kg, what is the profit made by the trader?

A. 5%
B. 7.5%
C. 8%
D. 10%
E. 12%

Total Cost Price is: 40*5x+50*4x = $400x
Selling Price of the mixture: =48*9x=432x
Profit= 432x-400x=32x
Profit%=\(\frac{32x}{400x}*100= 8%\\
\)

Answer :c
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32658
Own Kudos [?]: 821 [0]
Given Kudos: 0
Send PM
Re: A trader mixes two varieties of tea costing $40 per kg and $50 per kg [#permalink] New post   18 Jan 2024, 22:48
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.
GMAT Club Bot
gmatclubot
Re: A trader mixes two varieties of tea costing $40 per kg and $50 per kg [#permalink]
18 Jan 2024, 22:48
Moderators:
Bunuel
Math Expert
92900 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions