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: Calculate the cost price per coconut. The total cost price for 225 coconuts is GH¢180.00. Cost Price per coconut (CP) = Total Cost PriceNumber of coconuts CP = GH¢180.00225 = GH¢0.80 Step 2: Calculate the selling price per coconut for the first batch (initial selling price). Three-fifth of the coconuts were sold at a profit of 40%. Number of coconuts in the first batch: N_1 = (3)/(5) × 225 = 3 × 45 = 135 coconuts Selling Price per coconut for the first batch (SP_1): SP_1 = CP × (1 + Profit Percentage) SP_1 = GH¢0.80 × (1 + 0.40) = GH¢0.80 × 1.40 = GH¢1.12 This SP_1 is the "initial selling price" mentioned in the problem. a) new selling price per coconut: Step 3: Calculate the new selling price per coconut for the remaining coconuts. The rest of the coconuts were sold at 75% of the initial selling price (SP_1). Number of remaining coconuts (N_2): N_2 = 225 - 135 = 90 coconuts New selling price per coconut (SP_2): SP_2 = 0.75 × SP_1 SP_2 = 0.75 × GH¢1.12 = GH¢0.84 The new selling price per coconut is GH¢0.84. b) percentage profit on the whole transaction: Step 4: Calculate the total revenue from both batches. Revenue from the first batch: Revenue_1 = N_1 × SP_1 = 135 × GH¢1.12 = GH¢151.20 Revenue from the second batch: Revenue_2 = N_2 × SP_2 = 90 × GH¢0.84 = GH¢75.60 Total Revenue (SP_total): SP_total = Revenue_1 + Revenue_2 = GH¢151.20 + GH¢75.60 = GH¢226.80 Step 5: Calculate the total profit. Total Profit = SP_total - Total Cost Price Total Profit = GH¢226.80 - GH¢180.00 = GH¢46.80 Step 6: Calculate the percentage profit on the whole transaction. Percentage Profit = Total ProfitTotal Cost Price × 100\% Percentage Profit = GH¢46.80GH¢180.00 × 100\% Percentage Profit = 0.26 × 100\% = 26\% The percentage profit on the whole transaction is 26\%. That's 2 down. 3 left today — send the next one.