This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Define the prices of mangoes. Let the price of good quality mangoes be P per kg. The price of medium quality mangoes is half that of good mangoes, so it is (P)/(2) per kg. Step 2: Calculate the total cost price (CP). The shopkeeper buys 80 kg of good mangoes and 40 kg of medium quality mangoes. Cost of good mangoes = 80 kg × P /kg = 80P. Cost of medium quality mangoes = 40 kg × (P)/(2) /kg = 20P. Total Cost Price (CP) = 80P + 20P = 100P. Step 3: Calculate the selling price (SP) per kg. The common selling price for all mangoes is 10% less than the price at which he bought the good ones (P). Selling price per kg = P - 10\% of P = P - 0.10P = 0.90P. Step 4: Calculate the total selling price (SP). The total quantity of mangoes sold is 80 kg + 40 kg = 120 kg. Total Selling Price (SP) = 120 kg × 0.90P /kg = 108P. Step 5: Calculate the overall profit. Profit = Total SP - Total CP Profit = 108P - 100P = 8P. Step 6: Calculate the overall profit percentage. Profit percentage = ProfitTotal CP × 100\% Profit percentage = (8P)/(100P) × 100\% Profit percentage = (8)/(100) × 100\% = 8\%. The overall profit is 8%. The final answer is B) 8\%. Send me the next one 📸