Question: A milkman sells milk after adding some water in it. Quantity of water is 74% of quantity of milk in mixture. If milkman sells the mixture (milk + water) at 16.66% discount (16.66% less price than CP of pure milk) find the profit %of milkman?

1. 37%
2. 40%
3. 45%
4. 50%
5. 57.5%

“A milkman sells milk after adding some water in it. Quantity of water is 74% of quantity of milk in mixture. If milkman sells the mixture (milk + water) at 16.66% discount (16.66% less price than CP of pure milk) find the profit %of milkman?”- is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book “GMAT Official Guide Quantitative Review”. To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. The GMAT Quant topic in the problem-solving part requires calculative mathematical problems that should be solved with proper mathematical knowledge.

Answer:

Approach Solution 1:

Le the milk is 100 litres
Water added 74% = 100 * 0.74 = 74 litre
Total mixture = 174 litre
Let rate per lire is $1
Discounted price for 174 litre of milk mixture = 174 * (1 – 0.1666) = 145
Profit % = 45%

Correct option: C

Approach Solution (2):

Since the answer options are in percentage, we can take numbers and work to get out the answer
Let us assume the milkman bough 100 liters of milk in $100 (His cost price)
Now we know the quantity of water is 74% of the quantity of milk in the mixture. This means that in these 100 liters of milk, he added \(\frac{74}{100}\) times 100 = 74 liters of water
So the total mixture = 100 + 74 = 174 litres
Now ideally he should sell this 174 liters mixture in $174 but he gives a 16.66% discount.
So, the selling price = SP = 174 - \(\frac{16.66}{100}*174\)= 174 - \(\frac{1}{6}*174\)= 174 – 29 = 145
Thus the milkman bought the milk for $100 and sold it for $145
Hence profit = 145 – 100 = 45
Profit percent = \(\frac{45}{100}*100\) = 45%

Correct option: C

Suggested GMAT Problem Solving Questions

• If g is an integer what is the value of (-1)^g^4-1? GMAT Problem Solving
• What is the area of the triangle with the following vertices L(1,3) M(5,1) and N(3,5)? GMAT Problem Solving
• If,P^2-QR=10,Q^+PR=10,R^2+PQ=10 and R≠QR≠Q, what is the value of P^2+Q^2+R^2? GMAT Problem Solving
• If y (u-c) = 0 and j (u-k) = 0, which of the following must be true, assuming c < kc < k? GMAT Problem Solving
• If 2^98= 256L+N, where L and N are integers and 0≤N≤4, what is the value of N? GMAT Problem Solving
• If m, p, and t are distinct positive prime numbers, then (m^3)(p)(t) has how many different positive factors greater than 1? GMAT Problem Solving
• How many 5-letter words can be formed using the letters of the English alphabet that contain 2 different vowels and 3 different consonants? GMAT Problem Solving
• If a+b+c = 0 and a^3+b^3+c^3 = 216, what is the value of a∗b∗c ? GMAT Problem Solving
• If a polygon has 44 diagonals, then how many sides are there in the polygon? GMAT Problem Solving
• If (a1 + a2 + a3 + .... +an) = 3(2n+1 - 2), for every n≥1, then a11 equals GMAT Problem Solving
• A chord of a circle is equal to its radius GMAT Problem Solving
• If 4 people are selected from a group of 6 married couples, what is the probability that none of them would be married to each other? GMAT Problem Solving
• If the equation |x|+|y|= 5 encloses a certain region on the graph, what is the area of that region? GMAT Problem Solving
• If x = ¾ and y = ⅖ , what is the value of (x^2+ 6x+ 9) - (y^2-2y+ 1)? GMAT Problem Solving
• (15^11 - 15^10)/14 =? GMAT Problem Solving
• A clock loses a minute every three hours for 4 days and gains 1% in the subsequent 6 days GMAT Problem Solving
• A Container in the Shape of a Right Circular Cylinder is 1/2 GMAT Problem Solving
• How many multiples of 7 are there between 21 and 343, exclusive? GMAT Problem Solving
• How many odd factors does 210 have? GMAT Problem Solving
• How many three-digit integers are not divisible by 3? GMAT Problem Solving