32 kg of sugar costing Rs. 24 per kg is mixed with 24 kg of sugar costing Rs. 31 per kg. What is the cost of the mixture?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. Rs. 27/kg.
Concept Used:
Cost per kg = Total cost/Total weight
Explanation:
For 32 kg of sugar costing Rs. 24 per kg
Total cost = 32 × 24 = Rs. 768
For 24 kg of sugar costing Rs. 31 per kg
Total cost = 24 × 31 = Rs. 744
Total weight of the mixture = 32 + 24 = 56 kg
Total cost = 768 + 744 = Rs.1512
Then,
Cost per kg = Total cost/Total weight
⇒ 1512/56 = Rs. 27/kg
Thus, the cost of the mixture is Rs.27 per kg