How many kilograms of sugar priced at ₹10 per kilogram should be mixed with 20 kilograms of sugar priced at ₹8 per kilogram, so that selling the mixture at ₹10 per kilogram yields a profit of 10%?
Show answer & explanation
Correct answer: B
Explanation
Given:
Sugar at ₹10/kg = x kg
Sugar at ₹8/kg = 20 kg
Profit = 10%
Selling Price = ₹10/kg
Cost Price (CP) of the mixture = 10 × 100/110 = ₹9.09/kg
Total Cost = 10x + 8 × 20 = 10x + 160
Total Quantity = x + 20
Average Cost:
(10x + 160)/(x + 20) = 9.09
10x + 160 = 9.09x + 181.8
10x − 9.09x = 181.8 − 160
0.91x = 21.8
x = 24 kilograms