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MAT Exam 2024 Paper

Question : 83 of 150

Marks: +1, -0

24 \%

32 \%

Solution:

Concept:

Find the weighted average of milk percentages using the given mixing ratio.

Explanation:

The mixture has 10 parts of first liquid and 6 parts of second liquid.

So the ratio is

10 : 6 = 5 : 3

First liquid contains

24\%

milk, and second liquid contains

32\%

milk.

Weighted average percentage is:

x = \frac{24 \times 10 + 32 \times 6}{10 + 6}

x = \frac{240 + 192}{16}

x = \frac{432}{16} = 27\%

Answer:

The percentage of milk in the new mixture is

\mathbf{27\%}

Correct option: B.

27\%

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