In a vessel milk and water are in a ratio of 3 5 In the second vessel the milk and water are in the ...........

Quantitative Aptitude(IBPS RRB CL) Mixture and Alligation

In a vessel, milk and water are in a ratio of 3 : 5. In the second vessel, the milk and water are in the ratio of 3 : 2. In what ratio should these two mixtures be mixed to form a new mixture in which the milk and water are in the ratio 2 : 3?

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RRB Clerk Prelims (14 Aug, 2022 Shift 1)

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1 : 8

6 : 1

7 : 1

8 : 1

None of these

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Explanation:

To solve the problem, we need to determine the amounts of milk in each vessel first, and then find out how to mix them to get the desired ratio in a new mixture.

- First Vessel:

- Ratio of milk to water is 3:5.

- Milk part = 3/8 of the mixture.

- Second Vessel:

- Ratio of milk to water is 3:2.

- Milk part = 3/5 of the mixture.

To find the required ratio in which these mixtures are to be mixed to achieve a milk to water ratio of 2:3 (which means milk part = 2/5 of the mixture):

- We balance the equation based on the milk content from both vessels to equal the new target mixture.

\frac{3}{8}x + \frac{3}{5}y = \frac{2}{5}(x + y)

- Simplifying the equation leads to:

\frac{3}{8}x + \frac{3}{5}y = \frac{2}{5}x + \frac{2}{5}y

- Solving for x and y gives the mixing ratio as 8:1.

Thus, the option 4 with the ratio 8:1 is the correct one.

Answer: Option 4 - 8 : 1