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4 litres of a 40% solution of spirit in water is mixed with 6 litres of a 50% solution of spirit in water. What is the strength of spirit in the resulting mixture?
- a)60%
- b)46%
- c)52%
- d)50%
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
4 litres of a 40% solution of spirit in water is mixed with 6 litres o...
Quantity of spirit in 4 litres solution with 40% concentration = (40/100) × 4 = 1.6 litres
Quantity of spirit in 6 litres solution with 50% concentration = (50/100) × 6 = 3.0 litres
Thus, amount of spirit in resulting mixture = 1.6 + 3.0 = 4.6 litres
Total amount of resulting mixture = 4 + 6 = 10 litres
∴ Strength of spirit in resulting mixture = (4.6/10) × 100 = 46%
Quantity of spirit in 6 litres solution with 50% concentration = (50/100) × 6 = 3.0 litres
Thus, amount of spirit in resulting mixture = 1.6 + 3.0 = 4.6 litres
Total amount of resulting mixture = 4 + 6 = 10 litres
∴ Strength of spirit in resulting mixture = (4.6/10) × 100 = 46%
Most Upvoted Answer
4 litres of a 40% solution of spirit in water is mixed with 6 litres o...
To solve this problem, we'll use the concept of the weighted average.
Given:
- 4 liters of a 40% solution of spirit in water
- 6 liters of a 50% solution of spirit in water
Step 1: Convert the percentages to decimals
- 40% = 0.4
- 50% = 0.5
Step 2: Calculate the amount of spirit in each solution
- For the 4 liters of 40% solution: 4 * 0.4 = 1.6 liters of spirit
- For the 6 liters of 50% solution: 6 * 0.5 = 3 liters of spirit
Step 3: Calculate the total amount of spirit in the resulting mixture
- Total amount of spirit = 1.6 liters + 3 liters = 4.6 liters
Step 4: Calculate the total volume of the resulting mixture
- Total volume of the mixture = 4 liters + 6 liters = 10 liters
Step 5: Calculate the percentage of spirit in the resulting mixture
- Percentage of spirit in the mixture = (Total amount of spirit / Total volume of the mixture) * 100
- Percentage of spirit in the mixture = (4.6 liters / 10 liters) * 100
- Percentage of spirit in the mixture = 46%
Therefore, the strength of spirit in the resulting mixture is 46%.
Hence, the correct answer is option B) 46%.
Given:
- 4 liters of a 40% solution of spirit in water
- 6 liters of a 50% solution of spirit in water
Step 1: Convert the percentages to decimals
- 40% = 0.4
- 50% = 0.5
Step 2: Calculate the amount of spirit in each solution
- For the 4 liters of 40% solution: 4 * 0.4 = 1.6 liters of spirit
- For the 6 liters of 50% solution: 6 * 0.5 = 3 liters of spirit
Step 3: Calculate the total amount of spirit in the resulting mixture
- Total amount of spirit = 1.6 liters + 3 liters = 4.6 liters
Step 4: Calculate the total volume of the resulting mixture
- Total volume of the mixture = 4 liters + 6 liters = 10 liters
Step 5: Calculate the percentage of spirit in the resulting mixture
- Percentage of spirit in the mixture = (Total amount of spirit / Total volume of the mixture) * 100
- Percentage of spirit in the mixture = (4.6 liters / 10 liters) * 100
- Percentage of spirit in the mixture = 46%
Therefore, the strength of spirit in the resulting mixture is 46%.
Hence, the correct answer is option B) 46%.
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4 litres of a 40% solution of spirit in water is mixed with 6 litres of a 50% solution of spirit in water. What is the strength of spirit in the resulting mixture?a)60%b)46%c)52%d)50%Correct answer is option 'B'. Can you explain this answer?
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4 litres of a 40% solution of spirit in water is mixed with 6 litres of a 50% solution of spirit in water. What is the strength of spirit in the resulting mixture?a)60%b)46%c)52%d)50%Correct answer is option 'B'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about 4 litres of a 40% solution of spirit in water is mixed with 6 litres of a 50% solution of spirit in water. What is the strength of spirit in the resulting mixture?a)60%b)46%c)52%d)50%Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 4 litres of a 40% solution of spirit in water is mixed with 6 litres of a 50% solution of spirit in water. What is the strength of spirit in the resulting mixture?a)60%b)46%c)52%d)50%Correct answer is option 'B'. Can you explain this answer?.
4 litres of a 40% solution of spirit in water is mixed with 6 litres of a 50% solution of spirit in water. What is the strength of spirit in the resulting mixture?a)60%b)46%c)52%d)50%Correct answer is option 'B'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about 4 litres of a 40% solution of spirit in water is mixed with 6 litres of a 50% solution of spirit in water. What is the strength of spirit in the resulting mixture?a)60%b)46%c)52%d)50%Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 4 litres of a 40% solution of spirit in water is mixed with 6 litres of a 50% solution of spirit in water. What is the strength of spirit in the resulting mixture?a)60%b)46%c)52%d)50%Correct answer is option 'B'. Can you explain this answer?.
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