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MAT Exam 2025 Paper

Question : 80 of 150

Marks: +1, -0

Solution:

Concept:

Use the rule of alligation to find the mixing ratio of two solutions.

Explanation:

Purity of solution A is

35\%

Purity of solution B is

60\%

Required purity of the mixture is

45\%

By alligation:

\text{Ratio of A : B} = (60 - 45) : (45 - 35)

= 15 : 10 = 3 : 2

Total quantity of mixture is

60

Quantity of A

= \dfrac{3}{3+2} \times 60 = \dfrac{3}{5} \times 60 = 36

Quantity of B

= \dfrac{2}{3+2} \times 60 = \dfrac{2}{5} \times 60 = 24

Answer:

Soap solution A required is

36

L and soap solution B required is

24

Thus, the correct option is C. $\mathrm{A}=36\mathrm{~L}, \mathrm{~B}=24\mathrm{~L}$ .

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