Numerical: Discount & Marked Price MCQ — 15 Practice Questions with Answers

Explanation

Cost price = ₹1,000. The article is marked 20% above cost price, so marked price = 1,000 × 120/100 = ₹1,200. A discount of 10% is now given on the marked price. Selling price = 1,200 × 90/100 = ₹1,080. Profit = selling price − cost price = 1,080 − 1,000 = ₹80. Profit percentage = 80/1,000 × 100 = 8%. Therefore the profit is 8%.

Explanation

Apply the discounts successively. After 10% discount on ₹1000, the price becomes 1000 × 90/100 = ₹900. Now apply 20% discount on ₹900: selling price = 900 × 80/100 = ₹720. Total discount = ₹1000 − ₹720 = ₹280. Effective discount = 280/1000 × 100 = 28%. Thus statement 1 is correct and statement 2 is also correct, while statement 3 is incorrect. The correct answer is 1 and 2 only.

Explanation

For successive discounts, apply the first discount first and then apply the second on the reduced price. Marked price = ₹1,600. After 10% discount, price = 1,600 × 90/100 = ₹1,440. Now apply 5% discount on ₹1,440: selling price = 1,440 × 95/100 = ₹1,368. Thus the total discount is 1,600 − 1,368 = ₹232, and the correct statement is that the selling price is ₹1,368.

Explanation

Selling price after discount = marked price − discount. The discount is 15% of ₹2000, so discount = 2000 × 15/100 = ₹300. Therefore, selling price = ₹2000 − ₹300 = ₹1700. A common mistake is to read 15% as ₹150, but the percentage must always be taken on the marked price unless another base is specified. Hence, the selling price of the shirt is ₹1700.

Explanation

Use selling price = marked price × (100 − discount rate)/100 for each entry separately. For 1, ₹600 at 10% discount gives 600 × 90/100 = ₹540. For 2, ₹750 at 20% discount gives 750 × 80/100 = ₹600. For 3, ₹900 at 15% discount gives 900 × 85/100 = ₹765. Therefore the correct matching is exactly 1-₹540, 2-₹600, 3-₹765.