Question 1

A shopkeeper marks a shirt at ₹800. He offers a discount of 15% on the marked price. What is the selling price of the shirt?

Accepted Answer

Step 1: Marked Price (MP) = ₹800. Step 2: Discount = 15% of ₹800 = 0.15 × 800 = ₹120. Step 3: Selling Price (SP) = MP − Discount = 800 − 120 = ₹680.

Question 2

The marked price of a book is ₹500. After giving a discount of 20%, the shopkeeper still makes a profit of 25% on the cost price. What is the cost price of the book?

Accepted Answer

Step 1: MP = ₹500, Discount = 20%. Step 2: SP = 500 × (100 − 20)÷100 = 500 × 0.80 = ₹400. Step 3: Profit = 25%, so SP = CP × (100 + 25)÷100 = CP × 1.25. Step 4: 400 = CP × 1.25, therefore CP = 400 ÷ 1.25 = ₹320.

Question 3

A trader buys an item for ₹600 and marks it up by 50%. He then gives a discount of 20% on the marked price. What is his profit percentage?

Accepted Answer

Step 1: CP = ₹600, Markup = 50%, so MP = 600 × 1.50 = ₹900. Step 2: Discount = 20% on MP, so SP = 900 × 0.80 = ₹720. Step 3: Profit = SP − CP = 720 − 600 = ₹120. Step 4: Profit% = (120/600) × 100 = 20%.

Question 4

A retailer offers a discount of 10% on the marked price of a product. If the marked price is ₹1200 and the cost price is ₹900, what is the profit percentage?

Accepted Answer

Step 1: MP = ₹1200, Discount = 10%, so SP = 1200 × 0.90 = ₹1080. Step 2: CP = ₹900. Step 3: Profit = SP − CP = 1080 − 900 = ₹180. Step 4: Profit% = (180/900) × 100 = 20%.

Question 5

A shopkeeper marks an item at 40% above its cost price. He gives a discount of 25% on the marked price. What is his loss or gain percentage?

Accepted Answer

Step 1: Let CP = ₹100. MP = 100 × 1.40 = ₹140. Step 2: Discount = 25% on MP, so SP = 140 × 0.75 = ₹105. Step 3: Profit = SP − CP = 105 − 100 = ₹5. Step 4: Profit% = (5/100) × 100 = 5%.

Question 6

The marked price of a watch is ₹2000. A customer gets two successive discounts of 10% and 5%. What is the final selling price?

Accepted Answer

Step 1: MP = ₹2000. First discount = 10%, so price after first discount = 2000 × 0.90 = ₹1800. Step 2: Second discount = 5% on ₹1800, so final SP = 1800 × 0.95 = ₹1710.

Question 7

A store offers a discount of 25% on all items. Additionally, members get an extra 10% discount on the already discounted price. If a member pays ₹540 for an item, what was the original marked price?

Accepted Answer

Step 1: Let MP = x. After first discount of 25%, price = x × 0.75. Step 2: After additional 10% member discount, price = x × 0.75 × 0.90 = x × 0.675. Step 3: Given final price = ₹540, so 0.675x = 540. Step 4: x = 540 / 0.675 = 800. Original marked price = ₹800.

Question 8

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. How many units must he sell to make a total profit of ₹4800?

Accepted Answer

Step 1: Calculate marked price. MP = CP × (1 + markup%) = 2000 × 1.40 = ₹2800. Step 2: Calculate selling price after 20% discount. SP = MP × (1 - discount%) = 2800 × 0.80 = ₹2240. Step 3: Calculate profit per unit. Profit per unit = SP - CP = 2240 - 2000 = ₹240. Step 4: Calculate number of units. Units = Total Profit / Profit per unit = 4800 / 240 = 20 units.

Question 9

A merchant offers two successive discounts of 25% and 10% on an article marked at ₹1200. A customer also has a coupon for an additional 5% discount on the final price. What is the final selling price?

Accepted Answer

Step 1: Apply first discount of 25%. Price after first discount = 1200 × (1 - 0.25) = 1200 × 0.75 = ₹900. Step 2: Apply second discount of 10%. Price after second discount = 900 × (1 - 0.10) = 900 × 0.90 = ₹810. Step 3: Apply coupon discount of 5%. Final price = 810 × (1 - 0.05) = 810 × 0.95 = ₹769.50.

Question 10

A shopkeeper marks an article 60% above its cost price. After giving a discount of 30% on the marked price, he still makes a profit of ₹240. What is the cost price of the article?

Accepted Answer

Step 1: Let CP = x. Then MP = x × (1 + 0.60) = 1.60x. Step 2: SP = MP × (1 - 0.30) = 1.60x × 0.70 = 1.12x. Step 3: Profit = SP - CP = 1.12x - x = 0.12x. Step 4: Given profit = ₹240, so 0.12x = 240. Therefore, x = 240 / 0.12 = 2000. Cost price = ₹2000.

Question 11

A trader marks goods at 50% above cost price. He gives a discount of 20% to regular customers and 30% to wholesale buyers. If a wholesale buyer pays ₹2100 for an article, what is the cost price?

Accepted Answer

Step 1: Let CP = x. Then MP = x × 1.50 = 1.5x. Step 2: For wholesale buyer, SP = MP × (1 - 0.30) = 1.5x × 0.70 = 1.05x. Step 3: Given SP = ₹2100, so 1.05x = 2100. Step 4: x = 2100 / 1.05 = 2000. Cost price = ₹2000.

Question 12

A shopkeeper marks up goods by 80% above cost price. He then offers two successive discounts of 25% and 20% on the marked price. If the final selling price is ₹432, what is the cost price?

Accepted Answer

Step 1: Let CP = x. MP = x + 0.80x = 1.80x. Step 2: After first discount of 25%, price = 1.80x × 0.75 = 1.35x. Step 3: After second discount of 20%, price = 1.35x × 0.80 = 1.08x. Step 4: Given 1.08x = 432, so x = 400. Therefore, cost price is ₹400.

Question 13

A retailer buys goods at a 20% discount on the marked price. He then marks them up by 50% above his cost price and offers a discount of 30% on this new marked price. If he makes a profit of ₹144 on each item, what is the original marked price?

Accepted Answer

Step 1: Let original MP = 100. Retailer's CP = 100 × 0.80 = 80. Step 2: New MP = 80 × 1.50 = 120. Step 3: Selling price = 120 × 0.70 = 84. Step 4: Profit = 84 - 80 = 4 per unit (in terms of original MP = 100). Step 5: If profit = ₹144, then 4 units of original MP = ₹144, so 1 unit = ₹36. Original MP = 100 × 36 = ₹3600.

Question 14

A shopkeeper offers a discount of 10% on the marked price. After giving this discount, he still makes a profit of 8%. If the cost price of an item is ₹450, what is the marked price?

Accepted Answer

Step 1: CP = ₹450. Profit = 8%, so SP = 450 × 1.08 = ₹486. Step 2: Discount = 10% on MP, so SP = MP × 0.90. Step 3: 486 = MP × 0.90 → MP = 486 ÷ 0.90 = ₹540.

Question 15

A trader marks goods at 60% above cost price. He gives a discount of 25% on the marked price to the first customer and 30% to the second customer. If the difference in selling prices between the two customers is ₹90, what is the cost price?

Accepted Answer

Step 1: Let CP = x. MP = 1.60x. Step 2: SP for first customer = 1.60x × 0.75 = 1.20x. Step 3: SP for second customer = 1.60x × 0.70 = 1.12x. Step 4: Difference = 1.20x - 1.12x = 0.08x = 90. Step 5: x = 90 ÷ 0.08 = 1125.

SBI PO Discount & MP

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