Question: A milk vendor has 3 milk solutions at his disposal. He pays Rs. 6/litre for the first one, Rs. 8/litre for the second and Rs. 10/litre for the third. He then mixed them, respectively, in the ratio 5:4:3 by volume and sold the same to a customer at 50% profit. The price at which he sold to the customer is closest to which of the following?

1. 9
2. 11
3. 13
4. 15
5. 17

Answer: D
Solution and Explanation:
Approach Solution 1:
To solve this GMAT problem-solving question, you must use the information given in the question. The problems in this group come from many different areas of mathematics. This one has a lot to do with algebra.
The options are set up in a way that makes it hard to pick the best one. The candidates must know the right way to get the response they need. Only one of the five choices given is correct.
Given in the question that
The milkman proportionally mixes the 5:4:3 solution. Assuming he is blending 5 liters of mixture for Rs. 6, 4 liters of mixture for Rs. 8, and 3 liters of mixture for Rs. 10. He pays Rs. 92 for a total of 12 lts: (5*6)+(4*8)+(3*10).
The milkman makes a 50% profit when he sells this mixture, thus the selling price for 12 lts will be
92 * 1.5 = 138.
Consequently, the cost per litre is
138 / 12 = 11.5
The closest option is Option B, which costs Rs.11.

Approach Solution 2:
To solve this GMAT problem-solving question, you must use the information given in the question. The problems in this group come from many different areas of mathematics. This one has a lot to do with algebra.
The options are set up in a way that makes it hard to pick the best one. The candidates must know the right way to get the response they need. Only one of the five choices given is correct.
As stated in the question,
Assume that the final mixture's total volume is 12 liters.
(Note: The ratio is 5:4:3, therefore the total volume is 5+4+3, which equals 12 liters.) Any multiple of 12 is acceptable, such as 12, 24, 36, etc.)
Total CP (for 12 liters): 5 x 6, 4 x 8, and 3 x 10, or 92. (Cost of Solutions 1 and 2 is $6, $8, and $10, respectively.)
Gains = 50%
SP (for 12 liters) is consequently equal to 92 * (100+50%) = 92 * 1.5 SP (for 1 liter) is equal to 92 * 1.5 / 12 = 11.5
Among the possible answers, 11.5 is the one that is most similar to 11.
B is the correct answer.

Approach Solution 3:
To solve this GMAT problem-solving question, you must use the information given in the question. The problems in this group come from many different areas of mathematics. This one has a lot to do with algebra.
The options are set up in a way that makes it hard to pick the best one. The candidates must know the right way to get the response they need. Only one of the five choices given is correct.
Let us assume that he mixes 5 liters of 1st solution, 4 liters of 2nd solution. And 3 liters of 3rd solution.
Total amount he spends = 5 *6 + 8*4 + 10 * 3 = 92rs
Now his buying price is 92rs.
He wants to make 50% profit.
So he has to sell those 12 liters of solution in 1.5 times the purchase price.
Selling price = 1.5 * 92
= 138 rs for 12 liters
For 1 liter, we have to divide it by 12.
For 1liter we have 138/12 = 11rs per liter.

“A milk vendor has 3 milk solutions at his disposal" - is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been borrowed from the book “GMAT Official Guide Quantitative Review”.
To understand GMAT Problem Solving questions, applicants must possess fundamental qualitative skills. Quant tests a candidate's aptitude in reasoning and mathematics. The GMAT Quantitative test's problem-solving phase consists of a question and a list of possible responses. By using mathematics to answer the question, the candidate must select the appropriate response. The problem-solving section of the GMAT Quant topic is made up of very complicated math problems that must be solved by using the right math facts.

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