Sarah buys two qualities of pomegranate, A and B, for ₹4450. The weights (in kg) of A and B are in the ratio $3 : 5$, and the cost per kg of A is 30% more than that of B. She sells A at a 12% profit and B at an 18% profit. What is Sarah's overall profit?
Answer and solution
Correct answer: B
Solution
Take cost of B $= ₹100$/kg, so A $= ₹130$/kg.
Cost ratio A : B $= 3 \times 130 : 5 \times 100 = 39 : 50$
A $= 4450 \times \tfrac{39}{89} = ₹1950$; B $= 4450 \times \tfrac{50}{89} = ₹2500$
Profit $= 12\%$ of 1950 $+ 18\%$ of 2500 $= 234 + 450 = ₹684$
Cost ratio A : B $= 3 \times 130 : 5 \times 100 = 39 : 50$
A $= 4450 \times \tfrac{39}{89} = ₹1950$; B $= 4450 \times \tfrac{50}{89} = ₹2500$
Profit $= 12\%$ of 1950 $+ 18\%$ of 2500 $= 234 + 450 = ₹684$