In a mixture of 25 litres, the ratio of milk to water is 4:1 Another 3 litres of water is added to the mixture . The ratio of milk to water in the new mixture is

Options

A. `5:1`
B. `5:2`
C. `5:3`
D. `5:4`

Answer

To solve the problem step by step, let's break it down:

### Step 1: Understand the initial mixture
The total volume of the mixture is 25 litres, with a ratio of milk to water of 4:1. This means that for every 4 parts of milk, there is 1 part of water.

### Step 2: Calculate the quantities of milk and water
To find the quantities of milk and water, we can use the ratio:
- Total parts = 4 (milk) + 1 (water) = 5 parts
- Quantity of milk = (4/5) * 25 litres = 20 litres
- Quantity of water = (1/5) * 25 litres = 5 litres

### Step 3: Add water to the mixture
Next, we add 3 litres of water to the existing 5 litres of water:
- New quantity of water = 5 litres + 3 litres = 8 litres

### Step 4: Calculate the new ratio of milk to water
Now, we have:
- Quantity of milk = 20 litres
- Quantity of water = 8 litres

The new ratio of milk to water is:
- Ratio = Quantity of milk : Quantity of water = 20 litres : 8 litres

### Step 5: Simplify the ratio
To simplify the ratio, we can divide both sides by the greatest common divisor (GCD), which is 4:
- Simplified ratio = (20/4) : (8/4) = 5 : 2

### Final Answer
The new ratio of milk to water in the mixture after adding 3 litres of water is **5:2**.

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