Initial Mixture Details
The initial mixture has a total volume of 80 liters.
- The concentration of milk is 60%.
Calculating Initial Quantities
First, determine the amount of milk and water in the original mixture.
- Amount of Milk: $60\% \times 80 \text{ liters} = 0.60 \times 80 = 48 \text{ liters}$
- Amount of Water: $80 \text{ liters} - 48 \text{ liters} = 32 \text{ liters}$
Calculating New Mixture Volume
Next, calculate the total volume after adding water.
- Water Added: 20 liters
- New Total Volume: $80 \text{ liters} + 20 \text{ liters} = 100 \text{ liters}$
Calculating New Milk Percentage
The amount of milk remains the same, but the total volume increases. Calculate the new percentage of milk.
- New Milk Percentage: $\left( \frac{\text{Amount of Milk}}{\text{New Total Volume}} \right) \times 100\%$
- New Milk Percentage: $\left( \frac{48 \text{ liters}}{100 \text{ liters}} \right) \times 100\% = 0.48 \times 100\% = 48\%$
The new percentage of milk in the mixture is 48%.
Similar Questions
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Important Questions from Mixture and Alligation
My father is presently 25 years older than me. The sum of our ages 5 years ago was 39 years. Find my present age.
Rice worth ₹43/kg and ₹67/kg are mixed with a third variety in the ratio 2 : 1 : 5. If the mixture is worth ₹96/kg, the price (in ₹) of the third variety of rice per kg will be:
42 litres of milk at ₹25 per litre is mixed with 28 litres of milk at ₹40 per litre. Find the average price of the mixture.
15 kg of ₹10 per kg wheat is mixed with 5 kg of another type of wheat to get a mixture costing ₹30 per kg. Find the price (per kg) of the costlier wheat.
If a + b + c = 0, then the value of (a² + b² + 2ab) is equal to:
