Subjects algebra

Discount Profit

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Discount Profit


1. Problem: Find the original price if the discount is 8% and the discount amount is 55.60. Step 1: Let the original price be $x$. Step 2: Discount $= 8\%$ of $x = 0.08x$. Step 3: Given discount amount is 55.60, so $0.08x = 55.60$. Step 4: Solve for $x$: $$x = \frac{55.60}{0.08} = 695.$$ Answer: The original price is 695 (option B). 2. Problem: Find the sale price of a bag that costs 880 with a 10% discount. Step 1: Discount amount $= 10\%$ of 880 $= 0.10 \times 880 = 88$. Step 2: Sale price $= 880 - 88 = 792$. Answer: Sale price is 792 (option B). 3. Problem: Find the sale price if Alexis saved 194.85 which is 15% off from the original price. Step 1: Let original price be $x$. Step 2: Discount $= 15\%$ of $x = 0.15x$. Step 3: Given discount amount is 194.85, so $0.15x = 194.85$. Step 4: Solve for $x$: $$x = \frac{194.85}{0.15} = 1299.$$ Step 5: Sale price = Original price - discount = $1299 - 194.85 = 1104.15$. Answer: Sale price is 1104.15 (option C). 4. Problem: Find selling price if Collin wants 20% profit on a CP that costs 17990. Step 1: Profit = 20% of 17990 $= 0.20 \times 17990 = 3598$. Step 2: Selling price = cost + profit = $17990 + 3598 = 21588$. Answer: Selling price is 21588 (option A). 5. Problem: Find original price if the markup price 175.50 is 18% of original price. Step 1: Let original price be $x$. Step 2: Markup price = 18% of $x$: $0.18x = 175.50$. Step 3: Solve for $x$: $$x = \frac{175.50}{0.18} = 975.$$ Answer: Original price is 975 (option D).