Nivedita buys 6 kg of coffee powder for Rs. 2,730 per kg and another 12 kg of coffee powder for Rs. 1,002 per kg. What is the per kg cost (in Rs. ) of the mixture of 18 kg of coffee powder for her?

Correct option is B

Given:
Coffee powder 1: 6 kg at Rs. 2730 per kg
Coffee powder 2: 12 kg at Rs. 1002 per kg
Total mixture = 18 kg
Formula Used:
​$$\text{Mixture Price per kg} = \frac{\text{Total Cost}}{\text{Total Quantity}}$$​​
Solution:
Total cost of 6 kg at Rs. 2730/kg = 6 × 2730 = Rs. 16380
Total cost of 12 kg at Rs. 1002/kg = 12 × 1002 = Rs. 12024
Total cost of mixture = 16380 + 12024 = Rs. 28404
Total weight of mixture = 6 + 12 = 18 kg
Cost per kg of mixture = $$\frac {28404} { 18}$$​= Rs. 1578