Question

How many kg. Of sugar costing rs 5.75 per kg. Should be mixed with 75kg. Of cheaper sugar costing rs. 4.5 per kg. So that the mixture is worth rs. 5.50 per kg?

Answer 1

let say x kg sugar of costing rs 5.75 per kg is added

then total sugar = x +75 kg

cost of x kg sugar = 5.75x rs

cost of 75 kg sugar costing rs 4.5 per kg = 75 × 4.5

= 337.5 rs

total cost = 5.75x + 337.5 rs

total sugar = x + 75 kg

average cost of sugar mixture = total cost of sugar / total sugar

5.5 = (5.75x + 337.5)/(x + 75)

=> 5.5 x + 412.5 = 5.75x + 337.5

=> 75 = 0.25x

=> x = 75/0.25

=> x = 300 kg

300 kg sugar to be added