In what ratio must water be mixed with milk costing Rs 32 per litre in order to get a mixture costin...........

Quantitative Aptitude (CGL) Mixture and Alligation

In what ratio must water be mixed with milk, costing Rs.32 per litre, in order to get a mixture costing Rs.28 per litre?

This questions was previously asked in

Combined Graduate level Examination 2023 Tier I

8 : 1

1 : 7

1 : 8

7 : 1

To solve the problem, we use the concept of weighted averages or the rule of alligation. Here's how:

- Step 1: Let the cost price of the milk be Rs.32 per litre.

- Step 2: Let the cost price of water be Rs.0 per litre (as water is usually considered free in such mixture problems).

- Step 3: We want a mixture costing Rs.28 per litre.

Now, applying the alligation rule:

1. Find the difference between the cost of milk and the mixture:

- Rs.32 - Rs.28 = Rs.4

2. Find the difference between the cost of the mixture and water:

- Rs.28 - Rs.0 = Rs.28

- Ratio of water to milk: The required ratio is inversely proportional to these differences:

- Water : Milk = 4 : 28 = 1 : 7

- Conclusion: The correct option is 1 : 7.

Therefore, option 2, 1 : 7 is the correct choice.

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