DR-20% SP-799.70 find the original price and discount and how to solve
Answer (1)
Answer:Original price ≈ ₱999.63; Discount ≈ ₱199.93.Step-by-step explanation:1. Identify what’s given and what’s asked.Given: Discount rate (DR) = 20%, Selling price (SP) = ₱799.70 (this is the price after discount)*N: Original price (OP) and discount amount2. Convert percent to decimal = 20% → 0.20*Therefore the fraction of the price you paid is 1 − 0.20 = 0.803. Use the relationship SP = (1 − DR) × OP and solve for OP: OP = SP ÷ 0.80 = ₱799.70 ÷ 0.80*Multiply top and bottom by 100 to divide cleanly: 799.70/0.80 = 79970/8079,970 ÷ 80 = 999.625 → ₱999.625Round to the nearest centavo: ₱999.634. Compute the discount amountDiscount = DR × OP Discount = 0.20 × 999.625 = 199.925 → ₱199.93 (rounded)
