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# What is the ratio in which a dealer mixes two varieties of coffee?

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Senior Manager
Joined: 21 Aug 2016
Posts: 261
Location: India
GPA: 3.9
WE: Information Technology (Computer Software)
What is the ratio in which a dealer mixes two varieties of coffee?  [#permalink]

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30 Nov 2016, 09:42
3
3
00:00

Difficulty:

85% (hard)

Question Stats:

33% (01:07) correct 67% (00:55) wrong based on 153 sessions

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What is the ratio in which a dealer mixes two varieties of coffee?

(1) The dealer mixes coffee priced at 180/kg with the coffee priced at 210/kg

(2) The mixture is sold at 198/kg
Senior Manager
Joined: 21 Aug 2016
Posts: 261
Location: India
GPA: 3.9
WE: Information Technology (Computer Software)
Re: What is the ratio in which a dealer mixes two varieties of coffee?  [#permalink]

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30 Nov 2016, 13:04
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1
prashantrchawla wrote:
This is how I went with this question,
180x+210y=198z. x+y=z
By putting this value in the first equation.
x/y = 2/3. Answer is C. This is what the question has asked to calculate.

Hi Prashant,

The Second statement says that The mixture is sold at 198/kg It does not tell how much it costs after mixing two varieties of coffee. The dealer might be earning some profit that's why cost price might differ from selling price. So, we can't form this equation 180x+210y=198z by combining both statements.

Detailed Solution
Let's say the ratio of two varieties is x:y

Statement 1: 180x+210y-- it does not tell anything further. So, this statement is not sufficient

Statement: It does not talk about the cost price. Just by knowing the selling price, we can't determine the ratio of two varieties of coffee.

Combining both statements:

Since the second statement does not tell any information relevant to first statement i.e. by knowing the cost price of two different varieties which dealer mixes and by knowing the selling price of the mixture, the ratio of two varieties can not be determined.

Hope it helps.

+1 Kudos if you like the post
##### General Discussion
Manager
Joined: 02 Nov 2013
Posts: 81
Location: India
Re: What is the ratio in which a dealer mixes two varieties of coffee?  [#permalink]

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30 Nov 2016, 11:03
This is how I went with this question,
180x+210y=198z. x+y=z
By putting this value in the first equation.
x/y = 2/3. Answer is C. This is what the question has asked to calculate.
Intern
Joined: 13 Jun 2013
Posts: 4
Location: India
Concentration: General Management, Marketing
WE: Engineering (Energy and Utilities)
Re: What is the ratio in which a dealer mixes two varieties of coffee?  [#permalink]

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28 Dec 2016, 07:01
AR15J wrote:
prashantrchawla wrote:
This is how I went with this question,
180x+210y=198z. x+y=z
By putting this value in the first equation.
x/y = 2/3. Answer is C. This is what the question has asked to calculate.

Hi Prashant,

The Second statement says that The mixture is sold at 198/kg It does not tell how much it costs after mixing two varieties of coffee. The dealer might be earning some profit that's why cost price might differ from selling price. So, we can't form this equation 180x+210y=198z by combining both statements.

Detailed Solution
Let's say the ratio of two varieties is x:y

Statement 1: 180x+210y-- it does not tell anything further. So, this statement is not sufficient

Statement: It does not talk about the cost price. Just by knowing the selling price, we can't determine the ratio of two varieties of coffee.

Combining both statements:

Since the second statement does not tell any information relevant to first statement i.e. by knowing the cost price of two different varieties which dealer mixes and by knowing the selling price of the mixture, the ratio of two varieties can not be determined.

Hope it helps.

+1 Kudos if you like the post

Good one !! I think you got most people over there with the nuance in statement - 2.
Only wondering if the GMAT will also tease us in the same way
Senior Manager
Status: Countdown Begins...
Joined: 03 Jul 2016
Posts: 287
Location: India
Concentration: Technology, Strategy
Schools: IIMB
GMAT 1: 580 Q48 V22
GPA: 3.7
WE: Information Technology (Consulting)
Re: What is the ratio in which a dealer mixes two varieties of coffee?  [#permalink]

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25 Mar 2017, 02:23
E:
Statement II only gives the the selling price and not profit or Loss%.
Intern
Joined: 25 Mar 2017
Posts: 1
Re: What is the ratio in which a dealer mixes two varieties of coffee?  [#permalink]

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25 Mar 2017, 04:46
Let say ,the dealer mixes 'x' kg coffee of price 180 per kg with 'y' kg coffee of price 210 per kg and makes total 'z' kg coffee of selling price 198 per kg.It means x+y=z (weight) .............According the question,180x+210y=198z (price). I need not consider profit or loss or how much coffee did the dealer sell because the question does not tell or ask anything about these. From weight equation and price equation,i get x=2 kg,y=3 kg and z=5 kg.So we can say,1. The dealer mixes 2kg coffee priced at 180 per kg with the 3kg coffee priced at 210 per kg

2. The mixture of coffee is 5kg and sold at 198 per kg.
That means ,the ratio in which a dealer mixes two varieties of coffee is 2/3.
Senior Manager
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Re: What is the ratio in which a dealer mixes two varieties of coffee?  [#permalink]

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29 Aug 2017, 11:49
There is a ridiculous twist in the question from which official questions will always refrain. It seems like the 2nd statement is actually made to trick people into thinking that the price is the final price. Not a cool question!!
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Citius, Altius, Fortius
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Re: What is the ratio in which a dealer mixes two varieties of coffee?  [#permalink]

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07 Apr 2019, 16:35
If the Second statement was stated as 'The cost of mixture is 198/kg' then could we determine ratios ?
Re: What is the ratio in which a dealer mixes two varieties of coffee?   [#permalink] 07 Apr 2019, 16:35
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