Question 1

The marked price of a book is ₹800. After giving a discount of 15%, the shopkeeper still makes a profit of 25% on the cost price. What is the cost price of the book?

Accepted Answer

Step 1: Marked Price (MP) = ₹800. Step 2: Discount = 15% of ₹800 = (15/100) × 800 = ₹120. Step 3: Selling Price (SP) = 800 − 120 = ₹680. Step 4: Profit = 25%, so SP = CP × (1 + 25/100) = CP × 1.25. Step 5: 680 = CP × 1.25, therefore CP = 680 ÷ 1.25 = ₹544.

Question 2

The selling price of an article is ₹720 after a discount of 20% on the marked price. If the cost price is ₹500, what is the profit percentage?

Accepted Answer

Step 1: Selling Price (SP) = ₹720, Discount = 20%. Step 2: SP = MP × (1 − Discount%) → 720 = MP × 0.80 → MP = 720 ÷ 0.80 = ₹900. Step 3: Cost Price (CP) = ₹500. Step 4: Profit = SP − CP = 720 − 500 = ₹220. Step 5: Profit% = (Profit/CP) × 100 = (220/500) × 100 = 44%.

Question 3

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.

Question 4

A merchant buys an item for ₹300 and marks it up by 60%. What is the marked price?

Accepted Answer

Step 1: Cost Price (CP) = ₹300. Step 2: Markup = 60% of ₹300 = (60/100) × 300 = ₹180. Step 3: Marked Price (MP) = CP + Markup = 300 + 180 = ₹480.

Question 5

A retailer offers a discount of 25% on the marked price of a shirt. If the selling price is ₹450, what is the marked price?

Accepted Answer

Step 1: Discount = 25%, so the customer pays 75% of the marked price. Step 2: Selling Price (SP) = 75% of MP. Step 3: 450 = (75/100) × MP. Step 4: MP = 450 × (100/75) = 450 × (4/3) = ₹600.

Question 6

A trader marks goods at 40% above the cost price and offers a discount of 10% on the marked price. What is his profit percentage?

Accepted Answer

Step 1: Let CP = ₹100. Step 2: MP = CP + 40% of CP = 100 + 40 = ₹140. Step 3: Discount = 10% of MP = 10% of 140 = ₹14. Step 4: SP = MP − Discount = 140 − 14 = ₹126. Step 5: Profit = SP − CP = 126 − 100 = ₹26. Step 6: Profit% = (Profit/CP) × 100 = (26/100) × 100 = 26%.

Question 7

A retailer buys goods at ₹2000 per unit. He marks them up by 40% and then gives a discount of 20% on the marked price. What is his profit percentage?

Accepted Answer

Step 1: Cost Price (CP) = ₹2000. Step 2: Marked Price (MP) = 2000 + 40% of 2000 = 2000 × 1.40 = ₹2800. Step 3: Discount = 20% of 2800 = ₹560. Step 4: Selling Price (SP) = 2800 - 560 = ₹2240. Step 5: Profit = SP - CP = 2240 - 2000 = ₹240. Step 6: Profit% = (240/2000) × 100 = 12%.

Question 8

A dealer buys an item for ₹3600. He wants to mark it such that after giving a 20% discount, he makes a 25% profit. What should be the marked price?

Accepted Answer

Step 1: Cost Price (CP) = ₹3600. Step 2: Required Profit = 25%, so SP = CP × 1.25 = 3600 × 1.25 = ₹4500. Step 3: Discount = 20% on MP, so SP = MP × (1 - 0.20) = 0.80 × MP. Step 4: 4500 = 0.80 × MP → MP = 4500/0.80 = ₹5625.

Question 9

A shopkeeper marks an article at ₹800. He offers a discount of 15% on the marked price. If he still makes a profit of 25% on the cost price, what is the cost price of the article?

Accepted Answer

Step 1: Marked Price (MP) = ₹800. Step 2: Discount = 15% of 800 = ₹120. Step 3: Selling Price (SP) = 800 - 120 = ₹680. Step 4: Profit = 25%, so SP = CP × 1.25. Step 5: 680 = CP × 1.25, therefore CP = 680 ÷ 1.25 = ₹544.

Question 10

A shopkeeper marks an article 60% above its cost price. After giving a discount of 25% on the marked price, he earns a profit of ₹360. What is the cost price of the article?

Accepted Answer

Step 1: Let CP = x. Step 2: MP = x + 60% of x = 1.60x. Step 3: Discount = 25% of MP = 0.25 × 1.60x = 0.40x. Step 4: SP = MP - Discount = 1.60x - 0.40x = 1.20x. Step 5: Profit = SP - CP = 1.20x - x = 0.20x. Step 6: Given Profit = ₹360, so 0.20x = 360 → x = 1800. Therefore, CP = ₹1800.

Question 11

A store offers a discount of 30% on the marked price of an item. The cost price is ₹2100 and the store earns a profit of 40%. What is the marked price?

Accepted Answer

Step 1: Cost Price (CP) = ₹2100. Step 2: Profit = 40%, so SP = CP × 1.40 = 2100 × 1.40 = ₹2940. Step 3: Discount = 30% on MP, so SP = MP × (1 - 0.30) = 0.70 × MP. Step 4: 2940 = 0.70 × MP → MP = 2940/0.70 = ₹4200.

Question 12

A retailer buys goods at ₹80 per unit. He marks them up by 60% and offers a discount of 25% on the marked price. Later, he decides to increase the marked price by 20% and offer a discount of 30%. What is the difference in his profit per unit between the two selling strategies?

Accepted Answer

Step 1: CP = ₹80. Initial MP = 80 × 1.60 = ₹128. Step 2: First strategy SP = 128 × 0.75 = ₹96. Profit₁ = 96 − 80 = ₹16. Step 3: New MP = 128 × 1.20 = ₹153.60. Step 4: Second strategy SP = 153.60 × 0.70 = ₹107.52. Profit₂ = 107.52 − 80 = ₹27.52. Step 5: Difference = 27.52 − 16 = ₹11.52.

Question 13

A merchant offers a discount of 15% on the marked price of an article. After giving this discount, he still makes a profit of 30%. If the cost price is ₹340, what is the marked price?

Accepted Answer

Step 1: CP = ₹340, Profit = 30%. SP = 340 × 1.30 = ₹442. Step 2: SP is 85% of MP (since 15% discount is given). So, 0.85 × MP = 442. Step 3: MP = 442 ÷ 0.85 = ₹520.

Question 14

A shopkeeper marks articles at 80% above the cost price. He gives two successive discounts of 20% and 15% respectively. What is his overall profit or loss percentage?

Accepted Answer

Step 1: Let CP = ₹100. MP = 100 × 1.80 = ₹180. Step 2: After first discount of 20%: Price = 180 × 0.80 = ₹144. Step 3: After second discount of 15%: SP = 144 × 0.85 = ₹122.40. Step 4: Profit = 122.40 − 100 = ₹22.40. Profit% = 22.4%.

Question 15

A trader marks goods at 25% above cost price. During a sale, he offers a discount of 10% on the marked price. If he sells 80 units and makes a total profit of ₹2000, what is the cost price per unit?

Accepted Answer

Step 1: Let CP per unit = ₹x. MP per unit = 1.25x. SP per unit = 1.25x × 0.90 = 1.125x. Step 2: Profit per unit = 1.125x − x = 0.125x. Step 3: Total profit for 80 units = 80 × 0.125x = 10x = ₹2000. Step 4: x = ₹200.

Question 16

A retailer buys an article for ₹400. He marks it at ₹600. He offers a discount of x% on the marked price. If his profit percentage is 20%, what is the value of x?

Accepted Answer

Step 1: CP = ₹400, MP = ₹600, Profit% = 20%. SP = 400 × 1.20 = ₹480. Step 2: Discount = MP − SP = 600 − 480 = ₹120. Step 3: Discount% = (120/600) × 100 = 20%.

Question 17

A shopkeeper marks an article at ₹2500. He offers a discount of 20% on the marked price. However, he realizes that even after the discount, he is making a profit of 25% on the cost price. If he now decides to offer an additional 10% discount on the already discounted price, what will be his profit or loss percentage?

Accepted Answer

Step 1: MP = ₹2500, First discount = 20%. Price after first discount = 2500 × 0.80 = ₹2000. Step 2: This ₹2000 gives 25% profit, so CP = 2000 ÷ 1.25 = ₹1600. Step 3: Additional 10% discount on ₹2000 gives final SP = 2000 × 0.90 = ₹1800. Step 4: Profit = 1800 − 1600 = ₹200. Profit% = (200/1600) × 100 = 12.5%.

SSC CPO Discount & MP

Discount & MP— Rules & Concept

Key Points to Remember

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Discount & MP — Practice Questions

60-Second Revision — Discount & MP