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The concentrations of acid in two solution A and B is 19 percent and 9 percent respectively.In what ratio solution A and B should be mixed to get a solution having 17 percent acid?
  • a)
    3 : 4
  • b)
    3 : 5
  • c)
    4 : 1
  • d)
    3 : 2
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The concentrations of acid in two solution A and B is 19 percent and ...
Using Allegation method-
The required ratio=8:2=4:1
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Most Upvoted Answer
The concentrations of acid in two solution A and B is 19 percent and ...
Problem Overview
To find the ratio in which solutions A and B should be mixed to achieve a solution with 17% acid, we can use the method of alligation.
Given Concentrations
- Concentration of solution A: 19%
- Concentration of solution B: 9%
- Desired concentration: 17%
Alligation Method
1. Calculate the differences:
- Difference between A and the desired concentration:
- 19% - 17% = 2%
- Difference between B and the desired concentration:
- 17% - 9% = 8%
2. Form the ratio:
- The ratio of the two solutions can be represented as the inverse of the differences calculated:
- Ratio = (Difference of B) : (Difference of A)
- Ratio = 8 : 2
3. Simplification:
- Simplifying 8:2 gives us 4:1.
Final Ratio
Thus, solution A and solution B should be mixed in the ratio of 4:1 to obtain a solution with 17% acid.
Conclusion
- The correct answer is option C (4:1).
- This method provides a straightforward approach to solving mixture problems by using the concept of alligation.
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The concentrations of acid in two solution A and B is 19 percent and 9 percent respectively.In what ratio solution A and B should be mixed to get a solution having 17 percent acid?a)3 : 4b)3 : 5c)4 : 1d)3 : 2Correct answer is option 'C'. Can you explain this answer?
Question Description
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