What is the ratio in which water should be mixed with a coke concentra

Question

What is the ratio in which water should be mixed with a coke concentrate costing $15 per litre to make a profit of 30% by selling the resultant drink at $18 per litre?

A. 12:1
B. 11:1
C. 10:1
D. 1:10
E. 1:12

satya2029 · Accepted Answer

Coke is C litres, water is W litres (C+W)*18=1.3*15*C 18C+18W=19.5C W/C=1.5/18=1:12 E

GMATWhizTeam · Answer

Solution: 
 • Price of coke = $ 15 per litre
• Price of water = $ 0 per litre
• SP of coke = $ 18 per litre
 o  \frac{13}{10}*CP = 18 
o CP =  \frac{180}{13}  per litre 
• We can use allegation, to solve this problem
 https://www.dropbox.com/s/s5zlyqjcc8u6b15/47.jpg?dl=1 
 o Ratio of coke to water =  \frac{\frac{180}{13}}{15-\frac{180}{13}} = \frac{180}{15} = 12: 1 
o Ratio of water to coke =  1: 12    
Hence, the correct answer is  Option E.

nick1816 · Answer

SP =18
CP of mixture =  \frac{180}{13}  $/liter

CP of coke concentrate = 15 =  \frac{195}{13 }  $/liter

Assuming that CP of water is 0 $/liter

195.................0
..........180.........
y......................x

\frac{x}{y} = \frac{(195-180)}{(180-0)} = \frac{15}{180} = \frac{1}{12}

MrSengupta · Answer

The answer is (E)

Let coke and water be mixed in the ratio of a:b.

Therefore the equation becomes :

15a+0.3*15a(Profit)=18(a+b)
=>1.5a=18b
=>b/a=1:12

Answer :E

ScottTargetTestPrep · Answer

Solution:

Let’s start with 1 liter of coke concentrate and let x = the number of liters of water to be added to the coke concentrate. The income generated from the use of 1 liter of the concentrate (to earn a 30% profit) is 15 * 1.3 = $19.50. We also earn that same amount from selling (1 + x) liters of the concentrate-and-water mixture at $18 per liter. Thus, we can create the equation:

18(1 + x) = 15(1.3)

18 + 18x = 19.5

18x = 1.5

x = 1.5/18 = 15/180 = 1/12

We see that we should add 1/12 liter of water to 1 liter of coke concentrate. Thus, the ratio of water to coke concentrate is 1/12 : 1 = 1 : 12.

Alternate Solution:

Notice that 13 liters of the resultant drink sell for 13*18 dollars. Since this price includes a profit of 30%, the cost of 13 liters of the resultant drink should be (13*18)/1.3 = $180. For $180, it is possible to purchase 180/15 = 12 liters of coke concentrate. Thus, the 13 liters of the resultant drink should contain 12 liters of coke concentrate and 1 liter of water; giving us a water to coke concentrate ratio of 1 : 12.

Answer: E

riturajsingh21 · Answer

(SP-CP)/CP=.30
Cost=180/13

Denominator is 13.
Among answer choice -A & E will give you total 13.

hence answer will be either 1:12 or 12:1.

Water : Coke as 1:12 sounds more reasonable.

bumpbot · Answer

Automated notice from GMAT Club BumpBot: 

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

 This post was generated automatically.

What is the ratio in which water should be mixed with a coke concentra

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Problem Solving (PS) Questions

What is the ratio in which water should be mixed with a coke concentra

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards