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.
90
Given:
- 15 kg of wheat costing ₹10 per kg
- 5 kg of another type of wheat
- The cost of the mixture is ₹30 per kg
Let the price per kg of the costlier wheat be x.
Step-by-step Calculation:
The total cost of the 15 kg of wheat at ₹10 per kg is:
15 × 10 = ₹150
The total cost of the 5 kg of the costlier wheat is:
5 × x = 5x
The total weight of the mixture is 15 + 5 = 20 kg.
The total cost of the mixture is:
150 + 5x
The price per kg of the mixture is ₹30, so the total cost of the mixture is also:
20 × 30 = ₹600
Set up the equation:
150 + 5x = 600
Solving for x:
5x = 600 - 1505x = 450x = 450 ÷ 5 = 90
Conclusion:
The price per kg of the costlier wheat is ₹90.
The correct answer is:
Option 1: ₹90
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.
If a + b + c = 0, then the value of (a² + b² + 2ab) is equal to:
Simplify:
25 - (18 - 4 × 9 ÷ 3)
