1. Problem: A dealer offers a 10% discount on a car costing 7000. Find the discount amount. Formula: Discount = (Percent Discount / 100) \times Marked Price Calculation: Discount = \frac{10}{100} \times 7000 = 700 Answer: The discount amount is 700. 2. Problem: A dress marked at 80 is sold for 68. Find the percent discount. Formula: Percent Discount = \left(\frac{Marked Price - Sale Price}{Marked Price}\right) \times 100\% Calculation: Discount = 80 - 68 = 12 Percent Discount = \frac{12}{80} \times 100 = 15\% Answer: The percent discount is 15%. 3. Problem: Find the marked price of a book if percent discount is 12% and sale price is 70. Formula: Sale Price = Marked Price - Discount Discount = \frac{Percent Discount}{100} \times Marked Price Let Marked Price = x Then, 70 = x - \frac{12}{100}x = x \times (1 - 0.12) = 0.88x Calculation: x = \frac{70}{0.88} = 79.55 Answer: The marked price is 79.55. 4. Problem: A bag marked 450 has a 10% discount. Find discount amount and sale price. Discount = \frac{10}{100} \times 450 = 45 Sale Price = 450 - 45 = 405 Answer: Discount is 45 and sale price is 405. 5. Problem: A school gets 15% discount buying 110 books costing 20 each. Find total payment. Total cost without discount = 110 \times 20 = 2200 Discount = \frac{15}{100} \times 2200 = 330 Amount to pay = 2200 - 330 = 1870 Answer: The school pays 1870. 6. Problem: Sara paid 500 for a coat including 15% discount. Find discount amount. Let Marked Price = x Sale Price = x - \frac{15}{100}x = 0.85x = 500 x = \frac{500}{0.85} = 588.24 Discount = 588.24 - 500 = 88.24 Answer: Discount amount is 88.24. 7. Problem: After 10% discount, a bag costs 30. Find original price. Let original price = x Sale Price = 0.9x = 30 x = \frac{30}{0.9} = 33.33 Answer: Original price is 33.33. 8. Problem: Marked price of book is 400. Find sale price after successive discounts 10% and 15%. After first discount: 400 \times 0.9 = 360 After second discount: 360 \times 0.85 = 306 Answer: Sale price is 306. 9. Problem: Sale price after successive discounts 10% and 15% is 519. Find marked price. Let marked price = x After first discount: 0.9x After second discount: 0.85 \times 0.9x = 0.765x = 519 x = \frac{519}{0.765} = 678.43 Answer: Marked price is 678.43.