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

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


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.­

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

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

(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.