A trader bought 5 varieties of rice whose weights are in the ratio 2 : 3 : 4 : 5 : 6. Their respective prices per kg are Rs. 40, Rs. 42, Rs. 45, Rs. 48, and Rs. 50. What is the average cost per kg of the mixture?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. Rs. 46.3.
Let the weights be 2k kg, 3k kg, 4k kg, 5k kg, and 6k kg
Total weight = 2k + 3k + 4k + 5k + 6k = 20k kg
Total cost = (2k × 40) + (3k × 42) + (4k × 45) + (5k × 48) + (6k × 50)
= 80k + 126k + 180k + 240k + 300k
= 926k
Average cost per kg = 926k/20k = 926/20 = 46.3