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Question

In what ratio should 20% ethanol solution be mixed with 40% ethanol solution to obtain a 28% ethanol solution?

This question was previously asked in
SSC CGL 2017 (Tier 1) Previous Year Paper (16-Aug-2017) (Shift 1)
The correct answer is

3 ∶ 2

By alligation on ethanol concentrations:

\[\text{Ratio of 20\% to 40\%}=\dfrac{40-28}{28-20}=\dfrac{12}{8}=\dfrac{3}{2}\]

Therefore the solutions must be mixed in the ratio 3 : 2.

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Important Questions from To Make a Mixture from Two Mixtures

  1. In a 90 litre solution, acid and water are in the ratio 2 ∶ 1, To make the ratio of acid and water as 1 ∶ 2, how many litre of water should be added to the solution?

  2. How many litres of acid are there in 12 litres of a 20% solution?

  3. The ratio of number of male and female employees in a company was 5 ∶ 4. Some new males and females joined the company in the ratio 2 ∶ 3. The total number of employees become 1620 and the ratio of males to females become 68 ∶ 67. Initially what was the total number of employees in the company?

  4. The ratio of spirit and water in three solutions are 2 : 3, 3 : 4 and 4 : 5 respectively and they are mixed in the ratio 5 : 3 : 2. 318 ml of water is added to 1.26 liters of the solution thus obtained. The ratio of spirit and water in the final solution is

  5. A manufacturer has 600 L of a 12% solution of acid. How many litres of a 30% acid solution must be added to it such that acid content in the resulting mixture will be more than 15% but less than 18%?

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