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: Let the original price of the washing machine be P. Step 2: Calculate the price after a 25% increase. The new price after the increase is P_1. P_1 = P + (0.25 × P) = 1.25P Step 3: Calculate the price after a 25% decrease from the new price P_1. The final price after the decrease is P_2. P_2 = P_1 - (0.25 × P_1) = 0.75P_1 Substitute the value of P_1 from Step 2: P_2 = 0.75 × (1.25P) P_2 = 0.9375P Step 4: Calculate the net change in price as a percentage. The net change is the difference between the final price and the original price, expressed as a percentage of the original price. Net Change = (P_2 - P)/(P) × 100\% Net Change = (0.9375P - P)/(P) × 100\% Net Change = (-0.0625P)/(P) × 100\% Net Change = -0.0625 × 100\% Net Change = -6.25\% A negative sign indicates a decrease. The net change in price will be a 6.25% decrease. The final answer is 6.25% decrease. 3 done, 2 left today. You're making progress.