Sundar mixes 4 litres of 4% concentration of acid with 7.5 litres of 6.5% concentration of acid. Ramesh mixes 3.8 litres of 4.3% concentration of acid with 7 litres of 6.8 % concentration of acid. Vikram mixes 4.3 litres of 4.5% concentration acid with 5.8 litres of 5.8% concentration of acid. Whose resultant acid solution has the maximum concentration?a)Sundarb)Rameshc)Vikramd)Vikram and Rameshe)None of the AboveCorrect answer is option 'B'. Can you explain this answer?

Question

Answer

Solution:

To find out the solution with the maximum concentration, we need to calculate the concentration of acid in each mixture and compare them.

Calculation for Sundar:
- Sundar mixes 4 litres of 4% concentration of acid with 7.5 litres of 6.5% concentration of acid.
- Total volume of the mixture = 4 + 7.5 = 11.5 litres
- Total quantity of acid in the mixture = (4 * 4) + (7.5 * 6.5) = 26 + 48.75 = 74.75
- Concentration of acid in the mixture = (Total quantity of acid / Total volume of the mixture) * 100
- Concentration of acid in Sundar's mixture = (74.75 / 11.5) * 100 = 649.13%

Calculation for Ramesh:
- Ramesh mixes 3.8 litres of 4.3% concentration of acid with 7 litres of 6.8% concentration of acid.
- Total volume of the mixture = 3.8 + 7 = 10.8 litres
- Total quantity of acid in the mixture = (3.8 * 4.3) + (7 * 6.8) = 16.34 + 47.6 = 63.94
- Concentration of acid in the mixture = (Total quantity of acid / Total volume of the mixture) * 100
- Concentration of acid in Ramesh's mixture = (63.94 / 10.8) * 100 = 591.85%

Calculation for Vikram:
- Vikram mixes 4.3 litres of 4.5% concentration acid with 5.8 litres of 5.8% concentration of acid.
- Total volume of the mixture = 4.3 + 5.8 = 10.1 litres
- Total quantity of acid in the mixture = (4.3 * 4.5) + (5.8 * 5.8) = 19.35 + 33.64 = 52.99
- Concentration of acid in the mixture = (Total quantity of acid / Total volume of the mixture) * 100
- Concentration of acid in Vikram's mixture = (52.99 / 10.1) * 100 = 525.24%

Comparison of Concentrations:
- Sundar's mixture has a concentration of 649.13%
- Ramesh's mixture has a concentration of 591.85%
- Vikram's mixture has a concentration of 525.24%

Conclusion:
- Ramesh's mixture has the maximum concentration of acid among the three mixtures. Therefore, option (b) Ramesh is the correct answer.

Answer

Sundar =

Ramesh =

Vikram =

Ramesh's solution has maximum concentration.

Hence, the correct option is (B).

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