Question

A trader has 50 Kg of sugar, a part of which he sells at 10% profit and the rest at 5% loss. He gains 7% on the whole. What is the quantity sold at 10% gain and 5% loss?

• A. 40 Kg, 10 Kg
• B. 10 Kg, 35 Kg
• C. 25 Kg, 15 Kg
• D. 30 Kg, 20 Kg
• E. None of the above

Answer 1

The correct option is A 40 Kg, 10 Kg


$\therefore$ Ratio of quantities sold at 10% profit and 5% loss
=12 : 3 =4 : 1
$\therefore$ The quantity sold at 10% profit =$\frac{50}{4+1}\times 4$
=40 Kg
and, the quantity sold at 5% loss =50-40=10 Kg.