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A milk vendor mixes water to 20 litres of milk such that the ratio of milk and water is 4:3. He buys the milk at Rs 10 per litre and  sells the mixture at Rs 12 per litre. Find the profit % of the vendor.
  • a)
    110%
  • b)
    130%
  • c)
    125%
  • d)
    90%
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A milk vendor mixes water to 20 litres of milk such that the ratio of ...
Milk : Water = 4:3
He bought 4 parts (milk) but sold 7 parts (mixture)
C.P. = 10 and S.P. = 12.
So, profit % = (S.P. /C.P.) × (S.P. /C.P.)
= (7/4) × (12/10) = 2.1
Therefore, 110% gain.
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Most Upvoted Answer
A milk vendor mixes water to 20 litres of milk such that the ratio of ...
Given:
- The milk vendor mixes water to 20 litres of milk.
- The ratio of milk to water is 4:3.
- The cost of milk is Rs 10 per litre.
- The selling price of the mixture is Rs 12 per litre.

To find:
- The profit percentage of the vendor.

Solution:

Step 1: Calculation of Milk and Water Quantity
- Let's assume that the quantity of milk in the mixture is 4x litres.
- And the quantity of water in the mixture is 3x litres.
- According to the given ratio, 4x : 3x = 20 : 1 (since the total quantity is 20 litres)
- Solving the above proportion, we get:
4x = (20/1) * 4
4x = 80
x = 80/4
x = 20

- Therefore, the quantity of milk in the mixture is 4x = 4 * 20 = 80 litres.
- And the quantity of water in the mixture is 3x = 3 * 20 = 60 litres.

Step 2: Calculation of Cost Price (CP)
- The cost of milk is Rs 10 per litre.
- The total cost of milk in the mixture is 80 * 10 = Rs 800.
- The total cost of water in the mixture is 60 * 0 (since water is freely available) = Rs 0.
- Therefore, the total cost price (CP) of the mixture is Rs 800 + Rs 0 = Rs 800.

Step 3: Calculation of Selling Price (SP)
- The selling price of the mixture is Rs 12 per litre.
- The total selling price of the mixture is (80 + 60) * 12 = 140 * 12 = Rs 1680.

Step 4: Calculation of Profit Percentage
- Profit = Selling Price (SP) - Cost Price (CP) = 1680 - 800 = Rs 880.
- Profit Percentage = (Profit / CP) * 100 = (880 / 800) * 100 = 110%.

Final Answer:
- The profit percentage of the vendor is 110%. Therefore, option A is the correct answer.
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A milk vendor mixes water to 20 litres of milk such that the ratio of milk and water is 4:3. He buys the milk at Rs 10 per litre and sells the mixture at Rs 12 per litre. Find the profit % of the vendor.a)110%b)130%c)125%d)90%Correct answer is option 'A'. Can you explain this answer?
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A milk vendor mixes water to 20 litres of milk such that the ratio of milk and water is 4:3. He buys the milk at Rs 10 per litre and sells the mixture at Rs 12 per litre. Find the profit % of the vendor.a)110%b)130%c)125%d)90%Correct answer is option 'A'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about A milk vendor mixes water to 20 litres of milk such that the ratio of milk and water is 4:3. He buys the milk at Rs 10 per litre and sells the mixture at Rs 12 per litre. Find the profit % of the vendor.a)110%b)130%c)125%d)90%Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A milk vendor mixes water to 20 litres of milk such that the ratio of milk and water is 4:3. He buys the milk at Rs 10 per litre and sells the mixture at Rs 12 per litre. Find the profit % of the vendor.a)110%b)130%c)125%d)90%Correct answer is option 'A'. Can you explain this answer?.
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