If equal quantities of two types of sugar are mixed, where the first is sold for ₹40/kg at a 25% profit, and the second is sold for ₹30/kg at a 25% loss. If the mixture is sold at ₹36/kg, what is the loss or gain percentage?
Show answer & explanation
Correct answer: C
Explanation
Selling Price of the first type of sugar = ₹40/kg (25% Profit)
Selling Price of the second type of sugar = ₹30/kg (25% Loss)
Selling Price of the mixture = ₹36/kg
CP of the first type of sugar:
40 = 1.25 × CP
CP = 40 / 1.25 = 32
CP of the second type of sugar:
30 = 0.75 × CP
CP = 30 / 0.75 = 40
Mixed in equal quantities
Average CP = (32 + 40) / 2 = 36
SP of the mixture = 36
Profit/Loss = 36 − 36 = 0
Neither profit nor loss (0%)