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
Here are the solutions to problems 1 to 6. 1. Step 1: Identify the given values. Cost Price (CP) = Gh¢12.50 Profit percentage = 30% = 0.30 Step 2: Calculate the Selling Price (SP). SP = CP × (1 + Profit Percentage) SP = Gh¢12.50 × (1 + 0.30) SP = Gh¢12.50 × 1.30 SP = Gh¢16.25 The selling price was Gh¢16.25. 2. Step 1: Identify the given values. Selling Price (SP) = Gh¢20.00 Profit percentage = 25% = 0.25 Step 2: Calculate the Cost Price (CP). CP = (SP)/(1 + Profit Percentage) CP = Gh¢20.001 + 0.25 CP = Gh¢20.001.25 CP = Gh¢16.00 The cost price of the article was Gh¢16.00. 3. Step 1: Identify the given values. Selling Price (SP) = Gh¢300 Profit percentage = 20% = 0.20 Step 2: Calculate the Cost Price (CP). CP = (SP)/(1 + Profit Percentage) CP = Gh¢3001 + 0.20 CP = Gh¢3001.20 CP = Gh¢250 The cost price was Gh¢250. 4. Step 1: Identify the given values. Cost Price (CP) = Gh¢15,000.00 Profit percentage = 20% = 0.20 Step 2: Calculate the Selling Price (SP). SP = CP × (1 + Profit Percentage) SP = Gh¢15,000.00 × (1 + 0.20) SP = Gh¢15,000.00 × 1.20 SP = Gh¢18,000.00 His selling price was Gh¢18,000.00. 5. Step 1: Identify the given values. Cost Price (CP) = Gh¢8,500 Selling Price (SP) = Gh¢9,500 Step 2: Calculate the profit. Profit = SP - CP Profit = Gh¢9,500 - Gh¢8,500 Profit = Gh¢1,000 Step 3: Calculate the percentage gain. Percentage Gain = ProfitCP × 100\% Percentage Gain = Gh¢1,000Gh¢8,500 × 100\% Percentage Gain = (1000)/(8500) × 100\% Percentage Gain = (2)/(17) × 100\% Percentage Gain ≈ 11.7647\% His percentage gain was approximately 11.76\%. 6. Step 1: Calculate the total revenue from each batch of boxes. Revenue from 100 boxes: R_1 = 100 boxes × 80 Gp/box = 8000 Gp Revenue from 800 boxes: R_2 = 800 boxes × 60 Gp/box = 48000 Gp Revenue from 600 boxes: R_3 = 600 boxes × 40 Gp/box = 24000 Gp Step 2: Calculate the total number of boxes sold. Total Boxes = 100 + 800 + 600 = 1500 boxes Step 3: Calculate the total revenue. Total Revenue = R_1 + R_2 + R_3 Total Revenue = 8000 Gp + 48000 Gp + 24000 Gp Total Revenue = 80000 Gp Step 4: Calculate the average selling price per box. Average Selling Price per Box = Total RevenueTotal Boxes Average Selling Price per Box = 80000 Gp1500 boxes Average Selling Price per Box = (800)/(15) Gp/box Average Selling Price per Box = (160)/(3) Gp/box Average Selling Price per Box ≈ 53.33 Gp/box The average selling price per box was approximately 53.33 Gp. Send me the next one 📸