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The concentration of acid in two solutions 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 concentration of acid in two solutions A and B is 19 percent and ...
Using Alligation method-
The required ratio = 8:2 = 4:1
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Most Upvoted Answer
The concentration of acid in two solutions A and B is 19 percent and ...
Understanding the Problem
To find the ratio in which solutions A (19% acid) and B (9% acid) should be mixed to obtain a solution with 17% acid, we can use the alligation method.
Alligation Method
1. Identify Concentrations:
- Concentration of A = 19%
- Concentration of B = 9%
- Desired concentration = 17%
2. Calculate Differences:
- Difference between A and the desired concentration: 19% - 17% = 2%
- Difference between B and the desired concentration: 17% - 9% = 8%
3. Set Up the Ratio:
- The ratio of A to B is the inverse of the differences calculated:
- Ratio of A to B = 8 : 2
Simplifying the Ratio
- Simplifying 8 : 2 gives us 4 : 1.
Conclusion
To achieve a solution with 17% acid, solutions A and B must be mixed in the ratio of 4:1. Therefore, the correct answer is option 'C'.
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The concentration of acid in two solutions 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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