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
You're on a roll — I've deciphered the questions from the image. Here are the solutions: Problem 1: Percentage profit Step 1: Identify the cost price and selling price. Cost Price (CP) = 12,000/= Selling Price (SP) = 14,400/= Step 2: Calculate the profit. Profit = SP - CP Profit = 14,400 - 12,000 Profit = 2,400/= Step 3: Calculate the percentage profit. Percentage Profit = ProfitCP × 100\% Percentage Profit = (2,400)/(12,000) × 100\% Percentage Profit = (24)/(120) × 100\% Percentage Profit = (1)/(5) × 100\% Percentage Profit = 20\% The percentage profit is 20\%. Problem 2: Map distance Step 1: Understand the given scale and actual distance. The map scale is 1:25000. This means 1 unit on the map represents 25000 units in actual distance. The actual distance between two towns is 10 km. Step 2: Convert the actual distance to centimeters. We know that 1 km = 1000 m and 1 m = 100 cm. So, 1 km = 1000 × 100 cm = 100,000 cm. Actual distance = 10 km = 10 × 100,000 cm = 1,000,000 cm. Step 3: Calculate the distance on the map. Map distance = Actual distanceScale factor Map distance = 1,000,000 cm25000 Map distance = (1000)/(25) cm Map distance = 40 cm The distance on the map is 40 cm. Got more? Send 'em