A solution of 45 alcohol is mixed with a solution of 60 alcohol in the ratio of 2 3 In what ratio sh...........

Quantitative Aptitude (MTS) Ratio, Proportion

A solution of 45% alcohol is mixed with a solution of 60% alcohol in the ratio of 2 3. In what ratio should the resultant solution

be mixed with a 72% alcohol solution to get a 66% alcohol solution?

This questions was previously asked in

SSC MTS 7th July 2022 Shift-1

4 : 7

1 : 3

1 : 2

2 : 3

- First, mix the two alcohol solutions. With a ratio of 2:3 of the 45% and 60% solutions:

- Average alcohol content = \((2 \times 45\% + 3 \times 60\% ) / 5 = 54\%\).

- Now, mix this resultant solution (54%) with a 72% alcohol solution to achieve a 66% solution.

- Use the rule of alligation to find the required mixing ratio:

- The difference between 72% and 66% = 6%.

- The difference between 66% and 54% = 12%.

- Required ratio = 6:12 or simplified, 1:2.

- The correct option is Option:3, 1:2.

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