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.
₹31
To find the average price of the mixture of two different types of milk, we can use the formula for the weighted average of the prices. The weighted average formula is:
\(\text{Average Price} = \frac{(P_1 \times Q_1) + (P_2 \times Q_2)}{Q_1 + Q_2}\)
Now, substituting the values into the formula:
\(\text{Average Price} = \frac{(25 \times 42) + (40 \times 28)}{42 + 28}\)
Calculate the individual products:
Add these products:
\(1050 + 1120 = 2170\)
Add the quantities:
\(42 + 28 = 70\)
Now, divide the total cost by the total quantity to find the average price:
\(\text{Average Price} = \frac{2170}{70} = 31\)
Thus, the average price of the mixture is ₹31.
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:
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:
Simplify:
25 - (18 - 4 × 9 ÷ 3)