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A person has acid costing Rs. 30 per liter. He mixed some water in it and sold it for Rs. 40 per liter and earned 100% profit. What is the ratio of acid to water in the resultant mixture?
- a)1 : 1
- b)2 : 1
- c)3 : 1
- d)3 : 2
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A person has acid costing Rs. 30 per liter. He mixed some water in it ...
Understanding the Problem
A person has acid costing Rs. 30 per liter and mixes it with water to sell the mixture at Rs. 40 per liter, achieving a 100% profit. We need to find the ratio of acid to water in the resultant mixture.
Calculating Selling Price and Cost Price
- Selling Price (SP) = Rs. 40 per liter
- Profit = 100%
- Therefore, Cost Price (CP) = SP / (1 + Profit Percentage)
- CP = 40 / (1 + 1) = Rs. 20 per liter
The cost of the mixture (which includes both acid and water) must equal Rs. 20 per liter.
Cost of Ingredients
- Let x be the quantity of acid in liters and y be the quantity of water in liters.
- The cost of acid = Rs. 30 * x
- The cost of water = Rs. 0 * y (since water is considered free for this problem)
The total cost of the mixture is:
Cost of mixture = Cost of acid + Cost of water = 30x + 0y = 30x
Finding the Mixture Cost
Since the mixture is sold at Rs. 20 per liter, we can express the total cost for the mixture (x + y) liters as:
30x / (x + y) = 20
Setting Up the Equation
Cross-multiplying gives us:
30x = 20(x + y)
Expanding and rearranging:
30x = 20x + 20y
10x = 20y
x/y = 20/10 = 2
Final Ratio of Acid to Water
Thus, the ratio of acid (x) to water (y) is:
Acid : Water = 2 : 1
The correct answer is option 'B'.
A person has acid costing Rs. 30 per liter and mixes it with water to sell the mixture at Rs. 40 per liter, achieving a 100% profit. We need to find the ratio of acid to water in the resultant mixture.
Calculating Selling Price and Cost Price
- Selling Price (SP) = Rs. 40 per liter
- Profit = 100%
- Therefore, Cost Price (CP) = SP / (1 + Profit Percentage)
- CP = 40 / (1 + 1) = Rs. 20 per liter
The cost of the mixture (which includes both acid and water) must equal Rs. 20 per liter.
Cost of Ingredients
- Let x be the quantity of acid in liters and y be the quantity of water in liters.
- The cost of acid = Rs. 30 * x
- The cost of water = Rs. 0 * y (since water is considered free for this problem)
The total cost of the mixture is:
Cost of mixture = Cost of acid + Cost of water = 30x + 0y = 30x
Finding the Mixture Cost
Since the mixture is sold at Rs. 20 per liter, we can express the total cost for the mixture (x + y) liters as:
30x / (x + y) = 20
Setting Up the Equation
Cross-multiplying gives us:
30x = 20(x + y)
Expanding and rearranging:
30x = 20x + 20y
10x = 20y
x/y = 20/10 = 2
Final Ratio of Acid to Water
Thus, the ratio of acid (x) to water (y) is:
Acid : Water = 2 : 1
The correct answer is option 'B'.
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Community Answer
A person has acid costing Rs. 30 per liter. He mixed some water in it ...
Acid : Water= 20 : 10 = 2 : 1
Hence, Option B is correct.
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Question Description
A person has acid costing Rs. 30 per liter. He mixed some water in it and sold it for Rs. 40 per liter and earned 100% profit. What is the ratio of acid to water in the resultant mixture?a)1 : 1b)2 : 1c)3 : 1d)3 : 2Correct answer is option 'B'. Can you explain this answer? for Bank Exams 2026 is part of Bank Exams preparation. The Question and answers have been prepared according to the Bank Exams exam syllabus. Information about A person has acid costing Rs. 30 per liter. He mixed some water in it and sold it for Rs. 40 per liter and earned 100% profit. What is the ratio of acid to water in the resultant mixture?a)1 : 1b)2 : 1c)3 : 1d)3 : 2Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Bank Exams 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A person has acid costing Rs. 30 per liter. He mixed some water in it and sold it for Rs. 40 per liter and earned 100% profit. What is the ratio of acid to water in the resultant mixture?a)1 : 1b)2 : 1c)3 : 1d)3 : 2Correct answer is option 'B'. Can you explain this answer?.
A person has acid costing Rs. 30 per liter. He mixed some water in it and sold it for Rs. 40 per liter and earned 100% profit. What is the ratio of acid to water in the resultant mixture?a)1 : 1b)2 : 1c)3 : 1d)3 : 2Correct answer is option 'B'. Can you explain this answer? for Bank Exams 2026 is part of Bank Exams preparation. The Question and answers have been prepared according to the Bank Exams exam syllabus. Information about A person has acid costing Rs. 30 per liter. He mixed some water in it and sold it for Rs. 40 per liter and earned 100% profit. What is the ratio of acid to water in the resultant mixture?a)1 : 1b)2 : 1c)3 : 1d)3 : 2Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Bank Exams 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A person has acid costing Rs. 30 per liter. He mixed some water in it and sold it for Rs. 40 per liter and earned 100% profit. What is the ratio of acid to water in the resultant mixture?a)1 : 1b)2 : 1c)3 : 1d)3 : 2Correct answer is option 'B'. Can you explain this answer?.
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