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
Cost B = 100/kg, A = 130/kg. Cost ratio A:B = $3\times130:5\times100=390:500=39:50$. Total cost 4450: A costs $4450\times\frac{39}{89}\approx1950$, B costs $\approx2500$. Price per kg of A = $1950/3=650$ → actual price. (Verify with given ratio.)