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A milk merchant buys milk at Rs 50 per litre, but while selling, he marks up the price by 20% and also mixes water to the milk such that the milk-water mixture he sells has 80% milk and 20% water. Assuming that the water has zero cost price, what discount percentage should he give to the mixture such that by selling it, he earns a 10% profit?
- a)20
- b)80/2
- c)40/3
- d)30
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A milk merchant buys milk at Rs 50 per litre, but while selling, he ma...
CP of 1 litre = 50
MP of 1 litre = 1.2 x 50 = 60
Also, he mixes water to milk in the ratio of 1:4, so in 1 litre of milk, he mixes 250 mL of water.
Hence, the volume of liquid he is selling = 1.25
MP of 1.25 litres = 60 x 1.25 = 75 Rs.
So, to have a 10% profit, SP = Rs 50 x 1.1 = 55 Rs.
Hence, discount percent = 20/75 x 100 = 80/3%
MP of 1 litre = 1.2 x 50 = 60
Also, he mixes water to milk in the ratio of 1:4, so in 1 litre of milk, he mixes 250 mL of water.
Hence, the volume of liquid he is selling = 1.25
MP of 1.25 litres = 60 x 1.25 = 75 Rs.
So, to have a 10% profit, SP = Rs 50 x 1.1 = 55 Rs.
Hence, discount percent = 20/75 x 100 = 80/3%
Most Upvoted Answer
A milk merchant buys milk at Rs 50 per litre, but while selling, he ma...
To solve this question, we need to calculate the cost price of the milk-water mixture and then determine the discount percentage required to earn a 10% profit.
Let's assume the cost price of 1 liter of milk is Rs 50 and the merchant mixes x liters of water with 1 liter of milk.
1. Determine the cost price of the milk-water mixture:
The cost price of 1 liter of milk is Rs 50, so the cost price of x liters of water is zero.
The overall cost price of the mixture is the sum of the cost price of milk and water:
Cost price of milk-water mixture = (Cost price of 1 liter of milk) + (Cost price of x liters of water)
Cost price of milk-water mixture = Rs 50 + 0 = Rs 50
2. Determine the selling price of the milk-water mixture with a 10% profit:
The selling price is the cost price plus the profit percentage.
Profit percentage = 10%
Selling price = Cost price + Profit
Selling price = Rs 50 + (10/100) * Rs 50
Selling price = Rs 50 + Rs 5
Selling price = Rs 55
3. Calculate the percentage of milk in the mixture:
The milk-water mixture is said to have 80% milk and 20% water.
Since the water has zero cost price, we can assume that the percentage of milk in the mixture is the same as the percentage of cost price of milk in the selling price.
Percentage of milk in the mixture = (Cost price of milk / Selling price) * 100
Percentage of milk in the mixture = (Rs 50 / Rs 55) * 100
Percentage of milk in the mixture = 90.9%
4. Determine the discount percentage required:
The discount percentage required is the difference between the percentage of milk in the mixture and the desired percentage of milk in the selling price.
Desired percentage of milk in the selling price = 80%
Discount percentage required = (Percentage of milk in the mixture - Desired percentage of milk in the selling price)
Discount percentage required = 90.9% - 80%
Discount percentage required = 10.9%
Therefore, the milk merchant should provide a discount of approximately 10.9% in order to earn a 10% profit. However, this answer does not match any of the given options.
Let's assume the cost price of 1 liter of milk is Rs 50 and the merchant mixes x liters of water with 1 liter of milk.
1. Determine the cost price of the milk-water mixture:
The cost price of 1 liter of milk is Rs 50, so the cost price of x liters of water is zero.
The overall cost price of the mixture is the sum of the cost price of milk and water:
Cost price of milk-water mixture = (Cost price of 1 liter of milk) + (Cost price of x liters of water)
Cost price of milk-water mixture = Rs 50 + 0 = Rs 50
2. Determine the selling price of the milk-water mixture with a 10% profit:
The selling price is the cost price plus the profit percentage.
Profit percentage = 10%
Selling price = Cost price + Profit
Selling price = Rs 50 + (10/100) * Rs 50
Selling price = Rs 50 + Rs 5
Selling price = Rs 55
3. Calculate the percentage of milk in the mixture:
The milk-water mixture is said to have 80% milk and 20% water.
Since the water has zero cost price, we can assume that the percentage of milk in the mixture is the same as the percentage of cost price of milk in the selling price.
Percentage of milk in the mixture = (Cost price of milk / Selling price) * 100
Percentage of milk in the mixture = (Rs 50 / Rs 55) * 100
Percentage of milk in the mixture = 90.9%
4. Determine the discount percentage required:
The discount percentage required is the difference between the percentage of milk in the mixture and the desired percentage of milk in the selling price.
Desired percentage of milk in the selling price = 80%
Discount percentage required = (Percentage of milk in the mixture - Desired percentage of milk in the selling price)
Discount percentage required = 90.9% - 80%
Discount percentage required = 10.9%
Therefore, the milk merchant should provide a discount of approximately 10.9% in order to earn a 10% profit. However, this answer does not match any of the given options.
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A milk merchant buys milk at Rs 50 per litre, but while selling, he marks up the price by 20% and also mixes water to the milk such that the milk-water mixture he sells has 80% milk and 20% water. Assuming that the water has zero cost price, what discount percentage should he give to the mixture such that by selling it, he earns a 10% profit?a)20b)80/2c)40/3d)30Correct answer is option 'B'. Can you explain this answer?
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A milk merchant buys milk at Rs 50 per litre, but while selling, he marks up the price by 20% and also mixes water to the milk such that the milk-water mixture he sells has 80% milk and 20% water. Assuming that the water has zero cost price, what discount percentage should he give to the mixture such that by selling it, he earns a 10% profit?a)20b)80/2c)40/3d)30Correct answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A milk merchant buys milk at Rs 50 per litre, but while selling, he marks up the price by 20% and also mixes water to the milk such that the milk-water mixture he sells has 80% milk and 20% water. Assuming that the water has zero cost price, what discount percentage should he give to the mixture such that by selling it, he earns a 10% profit?a)20b)80/2c)40/3d)30Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A milk merchant buys milk at Rs 50 per litre, but while selling, he marks up the price by 20% and also mixes water to the milk such that the milk-water mixture he sells has 80% milk and 20% water. Assuming that the water has zero cost price, what discount percentage should he give to the mixture such that by selling it, he earns a 10% profit?a)20b)80/2c)40/3d)30Correct answer is option 'B'. Can you explain this answer?.
A milk merchant buys milk at Rs 50 per litre, but while selling, he marks up the price by 20% and also mixes water to the milk such that the milk-water mixture he sells has 80% milk and 20% water. Assuming that the water has zero cost price, what discount percentage should he give to the mixture such that by selling it, he earns a 10% profit?a)20b)80/2c)40/3d)30Correct answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A milk merchant buys milk at Rs 50 per litre, but while selling, he marks up the price by 20% and also mixes water to the milk such that the milk-water mixture he sells has 80% milk and 20% water. Assuming that the water has zero cost price, what discount percentage should he give to the mixture such that by selling it, he earns a 10% profit?a)20b)80/2c)40/3d)30Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A milk merchant buys milk at Rs 50 per litre, but while selling, he marks up the price by 20% and also mixes water to the milk such that the milk-water mixture he sells has 80% milk and 20% water. Assuming that the water has zero cost price, what discount percentage should he give to the mixture such that by selling it, he earns a 10% profit?a)20b)80/2c)40/3d)30Correct answer is option 'B'. Can you explain this answer?.
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A milk merchant buys milk at Rs 50 per litre, but while selling, he marks up the price by 20% and also mixes water to the milk such that the milk-water mixture he sells has 80% milk and 20% water. Assuming that the water has zero cost price, what discount percentage should he give to the mixture such that by selling it, he earns a 10% profit?a)20b)80/2c)40/3d)30Correct answer is option 'B'. Can you explain this answer?, a detailed solution for A milk merchant buys milk at Rs 50 per litre, but while selling, he marks up the price by 20% and also mixes water to the milk such that the milk-water mixture he sells has 80% milk and 20% water. Assuming that the water has zero cost price, what discount percentage should he give to the mixture such that by selling it, he earns a 10% profit?a)20b)80/2c)40/3d)30Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of A milk merchant buys milk at Rs 50 per litre, but while selling, he marks up the price by 20% and also mixes water to the milk such that the milk-water mixture he sells has 80% milk and 20% water. Assuming that the water has zero cost price, what discount percentage should he give to the mixture such that by selling it, he earns a 10% profit?a)20b)80/2c)40/3d)30Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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