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In what ratio must be 40% acid solution and 70% acid solution mixed in order to get 50% acid solution?
  • a)
    1 : 2
  • b)
    2 : 1
  • c)
    1 : 3
  • d)
    3 : 1
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
In what ratio must be 40% acid solution and 70% acid solution mixed in...
40% → 50% ← 70%
70 – 50 = 20
50 – 40 = 10
Ratio = 20:10 = 2:1
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Most Upvoted Answer
In what ratio must be 40% acid solution and 70% acid solution mixed in...
Understanding the Problem
To find the ratio of a 40% acid solution and a 70% acid solution needed to create a 50% acid solution, we can use the concept of alligation.
Using Alligation Method
- Acid Concentration of Solutions
- 40% Acid Solution
- 50% Desired Acid Solution
- 70% Acid Solution
- Calculate the Differences
- Difference between 50% and 40% = 50 - 40 = 10
- Difference between 70% and 50% = 70 - 50 = 20
Setting Up the Ratio
The ratio of the two solutions can be set up as the inverse of the differences calculated:
- Ratio = Difference of higher concentration : Difference of lower concentration
- Therefore, Ratio = 20 : 10
Simplifying the Ratio
- Simplifying 20 : 10 gives us 2 : 1.
Conclusion
Thus, the two solutions must be mixed in the ratio of 2:1 (40% acid solution : 70% acid solution) to achieve a 50% acid solution.
Final Answer
The correct answer is option 'B' - 2 : 1.
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