Question

A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. he gains 14% on the whole. The quantity sold at 18% profit is :

• A. 500 kg
• B. 600 kg
• C. 400 kg
• D. 640 kg

Answer 1

Answer:

B. 600 kg

Let cost price of 1kg of sugar be Rs.100. Selling price of 1kg sugar sold at 8% profit = 100 × 108/100 = Rs.108 Selling price of 1kg sugar sold at 18% profit = 100 × 118/100 = Rs.118 Average selling price of 1kg sugar = 100 × 114/100 = Rs.114 Ratio of sugar sold at 8% and 18% profit = (118 - 114) : (114 - 108) = 4 : 6 = 2 : 3 Quantity sold at 18% profit = 3/5 × 1000 = 600 kg