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 total cost of all books. The trader bought 200 exercise books at N300 each. Total Cost = 200 × N300 = N60,000 Step 2: Determine the revenue from the books sold at N360 each. The trader sold z books at N360 each. Revenue_1 = z × N360 = 360z Step 3: Determine the revenue from the remaining books. The number of remaining books is 200 - z. The selling price for these books is N10 less than the cost price (N300). Selling price for remaining books = N300 - N10 = N290. Revenue_2 = (200 - z) × N290 Step 4: Set up the equation for total profit. Total Profit = (Revenue from all sales) - (Total Cost) Total Profit = Revenue_1 + Revenue_2 - Total Cost Given total profit is N9,000. 9000 = 360z + 290(200 - z) - 60000 Step 5: Solve the equation for z. First, distribute 290 into the parenthesis: 9000 = 360z + (290 × 200) - (290 × z) - 60000 9000 = 360z + 58000 - 290z - 60000 Combine the terms with z: 360z - 290z = 70z Combine the constant terms: 58000 - 60000 = -2000 Substitute these back into the equation: 9000 = 70z - 2000 Add 2000 to both sides of the equation: 9000 + 2000 = 70z 11000 = 70z Divide both sides by 70 to find z: z = (11000)/(70) z = (1100)/(7) z = (1100)/(7) That's 2 down. 3 left today — send the next one.