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: Identify the given values and the unknown. The selling price (SP) of the transistor is given as Rs. 450. The loss percentage is 10%. We need to find the cost price (CP). Step 2: Use the formula for selling price with a loss. When there is a loss, the selling price is calculated as: SP = CP × (1 - Loss Percentage100) Substitute the given values into the formula: 450 = CP × (1 - (10)/(100)) Step 3: Simplify the expression and solve for CP. First, calculate the term in the parenthesis: 1 - (10)/(100) = 1 - 0.10 = 0.90 Now, the equation becomes: 450 = CP × 0.90 To find CP, divide 450 by 0.90: CP = (450)/(0.90) CP = (450)/(9)10 CP = 450 × (10)/(9) CP = (4500)/(9) CP = 500 The cost price of the transistor is Rs. 500. This matches option (a). The final answer is Rs. 500. 3 done, 2 left today. You're making progress.