Question 1

If the marked price of a book is ₹450 and a discount of 15% is given, what amount does the customer pay?

Accepted Answer

Step 1: Marked Price (MP) = ₹450. Step 2: Discount = 15% of ₹450 = (15/100) × 450 = ₹67.50. Step 3: Amount paid (SP) = MP − Discount = 450 − 67.50 = ₹382.50. Therefore, the customer pays ₹382.50.

Question 2

A retailer sells an item for ₹720 at a loss of 10%. What was the cost price of the item?

Accepted Answer

Step 1: Selling Price (SP) = ₹720, Loss = 10%. Step 2: When there is a loss of 10%, SP = CP − 10% of CP = 90% of CP. Step 3: 0.90 × CP = 720. Step 4: CP = 720/0.90 = ₹800. Therefore, the cost price is ₹800.

Question 3

The marked price of a shirt is ₹1000. After giving two successive discounts of 10% and 5%, what is the final selling price?

Accepted Answer

Step 1: Marked Price (MP) = ₹1000. Step 2: After first discount of 10%: Price = 1000 − (10% of 1000) = 1000 − 100 = ₹900. Step 3: After second discount of 5% on ₹900: Price = 900 − (5% of 900) = 900 − 45 = ₹855. Therefore, the final selling price is ₹855.

Question 4

A merchant buys goods for ₹1200 and marks them at ₹1600. If he offers a discount of 10%, what is his profit percentage?

Accepted Answer

Step 1: Cost Price (CP) = ₹1200, Marked Price (MP) = ₹1600. Step 2: Discount = 10% of ₹1600 = (10/100) × 1600 = ₹160. Step 3: Selling Price (SP) = 1600 − 160 = ₹1440. Step 4: Profit = SP − CP = 1440 − 1200 = ₹240. Step 5: Profit% = (Profit/CP) × 100 = (240/1200) × 100 = 20%. Therefore, profit percentage is 20%.

Question 5

A shopkeeper marks an article at ₹500. He gives a discount of 20% on the marked price. What is the selling price?

Accepted Answer

Step 1: Marked Price (MP) = ₹500. Step 2: Discount = 20% of ₹500 = (20/100) × 500 = ₹100. Step 3: Selling Price (SP) = MP − Discount = 500 − 100 = ₹400. Therefore, the selling price is ₹400.

Question 6

The cost price of an item is ₹800 and it is sold at a profit of 25%. What is the selling price?

Accepted Answer

Step 1: Cost Price (CP) = ₹800. Step 2: Profit = 25% of ₹800 = (25/100) × 800 = ₹200. Step 3: Selling Price (SP) = CP + Profit = 800 + 200 = ₹1000. Therefore, the selling price is ₹1000.

Question 7

The marked price of an item is 40% more than its cost price. A discount of 25% is given on the marked price. If the selling price is ₹630, what is the cost price?

Accepted Answer

Step 1: Let CP = x. Then MP = x × 1.40 = 1.4x. Step 2: SP = MP × (1 - 0.25) = 1.4x × 0.75 = 1.05x. Step 3: Given SP = ₹630, so 1.05x = 630. Step 4: x = 630 / 1.05 = 600. Therefore, CP = ₹600.

Question 8

A trader buys 100 articles at ₹50 each. He marks them at ₹80 each and offers a discount of 12.5% on the marked price. What is his total profit?

Accepted Answer

Step 1: Total CP = 100 × 50 = ₹5000. Step 2: MP per article = ₹80. SP per article = 80 × (1 - 0.125) = 80 × 0.875 = ₹70. Step 3: Total SP = 100 × 70 = ₹7000. Step 4: Total Profit = 7000 - 5000 = ₹2000.

Question 9

A merchant offers a 30% discount on the marked price of an article. Even after the discount, he makes a profit of 20% on the cost price. If the cost price is ₹350, what is the marked price?

Accepted Answer

Step 1: CP = ₹350. Profit = 20%, so SP = 350 × 1.20 = ₹420. Step 2: SP is 70% of MP (since 30% discount is given). So 0.70 × MP = 420. Step 3: MP = 420 / 0.70 = ₹600.

Question 10

A retailer buys goods at ₹2400 per dozen. He marks them up by 50% and offers a discount of 20% on the marked price. What is his profit per unit?

Accepted Answer

Step 1: Cost price per unit = 2400 / 12 = ₹200. Step 2: Marked price per unit = 200 × 1.50 = ₹300. Step 3: Selling price per unit = 300 × (1 - 0.20) = 300 × 0.80 = ₹240. Step 4: Profit per unit = 240 - 200 = ₹40.

Question 11

A shopkeeper marks an article at ₹1200. He gives successive discounts of 10% and 15%. What is the final selling price?

Accepted Answer

Step 1: After first discount of 10%: Price = 1200 × (1 - 0.10) = 1200 × 0.90 = ₹1080. Step 2: After second discount of 15% on ₹1080: Price = 1080 × (1 - 0.15) = 1080 × 0.85 = ₹918.

Question 12

A merchant offers two successive discounts: first 20%, then 15% on the marked price of ₹500. However, he realizes that after these discounts, his profit is only 12.5%. He then decides to offer a single discount of x% on the marked price such that his profit remains 12.5%. What is the value of x?

Accepted Answer

Step 1: After successive discounts of 20% and 15%, SP = 500 × 0.8 × 0.85 = ₹340. Step 2: If profit is 12.5%, then CP = 340 ÷ 1.125 = ₹302.22 (approximately). Step 3: For a single discount x% on MP = 500 to yield the same SP of 340: 500 × (1 − x/100) = 340. Step 4: 1 − x/100 = 0.68, so x/100 = 0.32, thus x = 32%. The single discount is 32%.

Question 13

A vendor buys articles at ₹60 per unit and marks them at ₹100 per unit. He offers a discount of d% on the marked price. After selling 80 units at this discounted price, he realizes his total profit is ₹1600. What is the discount percentage d?

Accepted Answer

Step 1: CP per unit = ₹60, MP per unit = ₹100. Step 2: SP per unit = 100 × (1 − d/100) = 100 − d. Step 3: Profit per unit = (100 − d) − 60 = 40 − d. Step 4: Total profit for 80 units = 80 × (40 − d) = 1600. Step 5: 40 − d = 20, so d = 20%. The discount percentage is 20%.

Question 14

A shopkeeper marks an article at ₹1200. He offers a discount of 15% on the marked price. However, he still makes a profit of 20% on the cost price. If he later offers an additional discount of 5% on the already discounted price to a bulk buyer, what is the cost price of the article?

Accepted Answer

Step 1: Let CP = x. After 20% profit, SP = 1.2x. Step 2: After 15% discount on MP, SP = 1200 × 0.85 = ₹1020. Step 3: Therefore, 1.2x = 1020, so x = 850. Step 4: The additional 5% discount is a distractor—it applies only to bulk buyers and doesn't affect the original cost price calculation. The cost price is ₹850.

Question 15

A retailer buys goods at ₹80 per unit. He marks them up by 60% and offers a discount of 25% during a sale. Later, he realizes his profit margin is lower than expected and decides to increase the marked price by 10% (on the new marked price after the first markup). What is the new selling price if the same 25% discount is applied to the revised marked price?

Accepted Answer

Step 1: CP = ₹80. Initial MP = 80 × 1.6 = ₹128. Step 2: First SP = 128 × 0.75 = ₹96 (after 25% discount). Step 3: Revised MP = 128 × 1.1 = ₹140.8. Step 4: New SP = 140.8 × 0.75 = ₹105.6. The new selling price is ₹105.6.

Question 16

A trader marks goods at ₹2000. He offers a discount of 10% to regular customers. However, for bulk orders (50+ units), he offers an additional 5% discount on the already-discounted price. A customer buys 60 units at the bulk rate. If the trader's profit on the bulk order is 25%, what is the cost price per unit?

Accepted Answer

Step 1: MP = ₹2000 per unit. After 10% discount: Price = 2000 × 0.9 = ₹1800. Step 2: After additional 5% discount on ₹1800: SP = 1800 × 0.95 = ₹1710 per unit. Step 3: With 25% profit, CP = SP ÷ 1.25 = 1710 ÷ 1.25 = ₹1368 per unit.

SSC MTS Discount & MP

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60-Second Revision — Discount & MP