140 liters of a solution is formed by mixing two solutions A and B The concentrations of milk in A a...........

Quantitative Aptitude (MTS) Mixture and Alligation

140 liters of a solution is formed by mixing two solutions A and B. The concentrations of milk in A and B are 40% and 7 5%,

respectively. If the resultant solution has a milk concentration of 52%, then what is the quantity of A that is there in the

resultant solution?

This questions was previously asked in

SSC MTS 20th July 2022 Shift-1

92 litres

48 litres

65 litres

57 litres

- You have a total of 140 liters of solution, made by combining solutions A and B.

- Solution A has 40% milk content.

- Solution B has 75% milk content (interpreting the given "7 5%" as a typographical error for "75%").

- The final mixture has a 52% milk concentration.

- Let the quantity of solution A in the mixture be $ x $ liters.

- This means solution B is $ 140 - x $ liters.

- The equation representing the milk concentration balance is: $$ 0.4x + 0.75(140 - x) = 0.52 \times 140 $$

- Simplifying gives: $$ 0.4x + 105 - 0.75x = 72.8 $$

- Further simplification gives: $$ -0.35x = -32.2 $$

- Solving for $ x $, we find $ x \approx 92 $ liters.

- Correct Answer: 92 liters

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