Question: A dairyman pays Rs. 6.40 per liter of milk. He adds water and sells the mixture at Rs. 8per liter, thereby making 37.5% profit. The proportion of water to milk received by the customers is
(a) 1:10
(b) 1:12
(c) 1:15
(d) 1:20
(e) 1:25
Correct Answer: (A)
Solutions and Explanation
Approach Solution - 1 :
It is given that with a profit of 37.5% (or 3/8) of the cost price, the selling price is Rs 8 per litre.
Therefore, Price at Cost*(1 + 3/8) = 8
Price Cost = 64/11
As a result, he only uses up milk worth Rs. 64/11 for each liter he sells.
1 liter of milk is available for Rs 6.4.
For Rs. 64/11, the liters of milk received is, 64/(11*6.4) = 10/11 liters of milk
He must be adding 1/11 liters of water to it because he only uses 10/11 liters of milk.
Therefore, the ratio of water to milk is 1:10.
Approach Solution - 2 :
The equation can be written as the following assuming that the ratio of milk to water is x:1.
Selling price of (1 liter Milk + x liters of Water) - 1 liter Milk's cost = 1 liter milk's profit.
[Note that 37.5% = 3/8]
=> 8(1+x) − 6.4 = 6.4(3/8)
=> 8x − 1.6 = 2.4
=> x = 1/10
The ratio therefore is 1:10.
Approach Solution - 3 :
If only milk were sold at Rs 8 per liter, the dairyman would make a 25% profit.
Milk and water sales generate a profit of 37.5%, so selling only water generates an additional 12.5% profit.
80 paise is the 12.5% of Rs. 6.40. This can be used to purchase one-tenth of a liter of milk from Dairyman.
Because of this, customers receive a 1:10 milk to water ratio.
“A dairyman pays Rs. 6.40 per liter of milk. He adds water” - is a subject that the GMAT quantitative reasoning section covers. A school needs to be proficient in a variety of qualitative skills to answer the GMAT Problem Solving questions correctly. There are 31 questions in the GMAT Quant section as a whole. The GMAT Quant topics' problem-solving section calls for the resolution of calculative mathematical puzzles.
Suggested GMAT Problem Solving Samples
- If The Diagonal of Rectangle Z is d, And The Perimeter of Rectangle Z is p GMAT Problem Solving
- 99,999^2−1^2 = ? GMAT Problem Solving
- How Many of The Three-Digit Numbers Are Divisible by 7? GMAT Problem Solving
- In a Camp, There is a Meal for 120 Men or 200 Children GMAT Problem Solving
- As Part Of a Game, Four People Each Must Secretly Choose an Integer Between 1 and 4 GMAT Problem Solving
- If Integer p is a Factor of 42, is p a Prime Number? GMAT Problem Solving
- A Triangle in the xy-Coordinate Plane Has Vertices With Coordinates (7, 0), (0, 8), and (20, 10) GMAT Problem Solving
- A Regular Hexagon is Inscribed in a Circle, What is the Ratio of the Area of the Hexagon GMAT Problem Solving
- What Is The Circumference Of The Semicircle In The Figure Shown? GMAT Problem Solving
- In a Trapezium ABCD, AB Is Parallel To DC, AB = 3*DC, And The Diagonals Of The Trapezium Intersect At O GMAT Problem Solving
- A Bag Contains 5 Red Balls And Some Blue Balls GMAT Problem Solving
- A Small Water Pump Would Take 2 Hours To Fill An Empty Tank GMAT Problem Solving
- ABCD Is An Isosceles Trapezium GMAT Problem Solving
- An Equilateral Triangle is Constructed on Each Side of a Square GMAT Problem Solving
- For A Negative Integer x, What Is The Value Of x * √(x^2)? GMAT Problem Solving
- Five Letters Are To Be Placed Into Five Addressed Envelopes GMAT Problem Solving
- Find The Number Of Trailing Zeros In The Product Of (1^1) GMAT Problem Solving
- Find The Altitude Of An Equilateral Triangle Whose Side is 20 GMAT Problem Solving
- Which of the following is the value of√3√0.000064? GMAT Problem Solving
- Two Dice are Thrown Simultaneously. What is the Probability of Getting Two Numbers Whose Product is Even? GMAT Problem Solving
- The Smallest 3-Digit Positive Integer Obtained By Adding Two Positive Two-Digit Numbers GMAT Problem Solving
- Train A Leaves New York at 9am Eastern Time on Monday, Headed for Los Angeles at a Constant Rate GMAT Problem Solving
- An Express Train Traveled At An Average Speed of 100 Kilometers Per Hour GMAT Problem Solving
- If m Lies Between The Integers p and s On the Number Line Shown GMAT Problem Solving
- A Cube Of Side 7 cm Is Coloured On Pair of Opposite Faces By Red, Green and Yellow Shades GMAT Problem Solving
- If x^2 − 5x − 6 = 0, which of the following could be x ? GMAT Problem Solving
- How Many Numbers Between 1 and 1000, Inclusive Have an Odd Number of Factors? GMAT Problem Solving
- Given f(x) = x/(x + 1), For What Value k Does f(f(k)) = 2/3 ? GMAT Problem Solving
- Which Among the Following is the Smallest 7-digit Number that is Exactly Divisible by 43? GMAT Problem Solving
- During a Trip, Francine Traveled x Percent of the Total Distance at an Average Speed of 40 Miles GMAT Problem Solving
- Which of the Following Expressions CANNOT have a Negative Value? GMAT Problem Solving
- Which of the following is greatest? GMAT Problem Solving
- The Cost Price of 20 Articles is The Same as The Selling Price of x Articles GMAT Problem Solving
- In The Figure Shown, If The Area of The Shaded Region is 3 Times The Area of The Smaller Circular Region GMAT Problem Solving
- A Regular Hexagon has a Perimeter of 30 units GMAT Problem Solving
- All the Numbers 2, 3, 4, 5, 6, 7 are Assigned to the Six Faces of a Cube, One Number to Each Face GMAT Problem Solving
- If it is true that x > -2 and x < 7, which of the following must be true? GMAT Problem Solving
- In a Certain Store, the Profit is 320% of the Cost GMAT Problem Solving
- If y is the Smallest Positive Integer Such That 3,150 Multiplied By y is the Square of an Integer GMAT Problem Solving
- If mn ≠ 0 and 25 Percent of n Equals 37 1/2 Percent of m, What is the Value of 12n/m? GMAT Problem Solving
- What is the Largest Five-Digit Number which is Divisible by 17? GMAT Problem Solving
- If x is not equal to zero, and x + 1/x = 3, then what is the value of x^4 + 1/x_4? GMAT Problem Solving
- An Isosceles Right Triangle With a Leg of Length "a" And Perimeter "p" GMAT Problem Solving
- The Light In A Restroom Operates With a 15-Minute Timer GMAT Problem Solving
- Two Pipes Together Can Fill a Tank In 35 Minutes GMAT Problem Solving
- In a Shop, The Marked Price of an Article is Worked Out in Such a Way That it Generates a Profit of 33 1 by 3 GMAT Problem Solving
- If x = 3y = 4z, Which of The Following Must Equal 6x GMAT Problem Solving
- If 3x=2y=5, Then 24xy^2=? GMAT Problem Solving
- The Product Of Two Numbers is 2028 and Their HCF is 13 GMAT Problem Solving
- Two Friends Start Walking Towards Each Other With Speeds in the ratio 3 : 4 GMAT Problem Solving