Below are 50 examples for each type of question—with the problem statement followed by a brief solution. You can use these as practice exercises.
VERY SHORT ANSWER TYPE QUESTIONS
- A pen costing Rs50 is sold for Rs45. Find the loss.
Solution: Loss = 50 – 45 = Rs5 - A pencil costing Rs20 is sold for Rs25. Find the profit.
Solution: Profit = 25 – 20 = Rs5 - A notebook costing Rs40 is sold for Rs48. Find the profit percentage.
Solution: Profit = 48 – 40 = Rs8; Profit% = (8/40)×100 = 20% - An item marked at Rs200 is sold for Rs180. Find the discount percentage.
Solution: Discount = 200 – 180 = Rs20; Discount% = (20/200)×100 = 10% - A book costing Rs150 is sold for Rs135. Find the loss.
Solution: Loss = 150 – 135 = Rs15 - A calculator costing Rs500 is sold for Rs550. Find the profit.
Solution: Profit = 550 – 500 = Rs50 - A bag costing Rs250 is sold for Rs300. Find the profit percentage.
Solution: Profit = 300 – 250 = Rs50; Profit% = (50/250)×100 = 20% - A mobile costing Rs8000 is sold for Rs7600. Find the loss percentage.
Solution: Loss = 8000 – 7600 = Rs400; Loss% = (400/8000)×100 = 5% - A water bottle marked at Rs120 is sold for Rs108. Find the discount percentage.
Solution: Discount = 120 – 108 = Rs12; Discount% = (12/120)×100 = 10% - A shirt costing Rs600 is sold for Rs660. Find the profit.
Solution: Profit = 660 – 600 = Rs60 - A pair of shoes costing Rs700 is sold for Rs630. Find the loss.
Solution: Loss = 700 – 630 = Rs70 - A watch costing Rs1000 is sold for Rs1150. Find the profit.
Solution: Profit = 1150 – 1000 = Rs150 - A wallet costing Rs300 is sold for Rs330. Find the profit percentage.
Solution: Profit = 330 – 300 = Rs30; Profit% = (30/300)×100 = 10% - A cap marked at Rs150 is sold for Rs135. Find the discount percentage.
Solution: Discount = 150 – 135 = Rs15; Discount% = (15/150)×100 = 10% - A mobile cover costing Rs200 is sold for Rs180. Find the loss.
Solution: Loss = 200 – 180 = Rs20 - A toy car costing Rs80 is sold for Rs96. Find the profit percentage.
Solution: Profit = 96 – 80 = Rs16; Profit% = (16/80)×100 = 20% - A pen drive costing Rs400 is sold for Rs440. Find the profit percentage.
Solution: Profit = 440 – 400 = Rs40; Profit% = (40/400)×100 = 10% - A charger marked at Rs350 is sold for Rs315. Find the discount percentage.
Solution: Discount = 350 – 315 = Rs35; Discount% = (35/350)×100 = 10% - A keychain costing Rs50 is sold for Rs60. Find the profit.
Solution: Profit = 60 – 50 = Rs10 - A mug costing Rs120 is sold for Rs108. Find the loss percentage.
Solution: Loss = 120 – 108 = Rs12; Loss% = (12/120)×100 = 10% - A diary costing Rs90 is sold for Rs99. Find the profit percentage.
Solution: Profit = 99 – 90 = Rs9; Profit% = (9/90)×100 = 10% - A scarf marked at Rs250 is sold for Rs225. Find the discount percentage.
Solution: Discount = 250 – 225 = Rs25; Discount% = (25/250)×100 = 10% - A cap costing Rs180 is sold for Rs162. Find the loss.
Solution: Loss = 180 – 162 = Rs18 - A pair of socks costing Rs80 is sold for Rs88. Find the profit percentage.
Solution: Profit = 88 – 80 = Rs8; Profit% = (8/80)×100 = 10% - A wallet marked at Rs500 is sold for Rs450. Find the discount and discount percentage.
Solution: Discount = 500 – 450 = Rs50; Discount% = (50/500)×100 = 10% - A belt costing Rs150 is sold for Rs165. Find the profit.
Solution: Profit = 165 – 150 = Rs15 - A tie costing Rs200 is sold for Rs220. Find the profit percentage.
Solution: Profit = 220 – 200 = Rs20; Profit% = (20/200)×100 = 10% - A jacket costing Rs1000 is sold for Rs900. Find the loss.
Solution: Loss = 1000 – 900 = Rs100 - A pair of gloves costing Rs250 is sold for Rs275. Find the profit.
Solution: Profit = 275 – 250 = Rs25 - A pair of earrings costing Rs300 is sold for Rs330. Find the profit percentage.
Solution: Profit = 330 – 300 = Rs30; Profit% = (30/300)×100 = 10% - A handbag marked at Rs1200 is sold for Rs1080. Find the discount percentage.
Solution: Discount = 1200 – 1080 = Rs120; Discount% = (120/1200)×100 = 10% - A pair of sunglasses costing Rs400 is sold for Rs360. Find the loss.
Solution: Loss = 400 – 360 = Rs40 - A necklace costing Rs700 is sold for Rs770. Find the profit.
Solution: Profit = 770 – 700 = Rs70 - A bracelet costing Rs250 is sold for Rs225. Find the loss percentage.
Solution: Loss = 250 – 225 = Rs25; Loss% = (25/250)×100 = 10% - A ring costing Rs500 is sold for Rs550. Find the profit percentage.
Solution: Profit = 550 – 500 = Rs50; Profit% = (50/500)×100 = 10% - A watch marked at Rs1500 is sold for Rs1350. Find the discount percentage.
Solution: Discount = 1500 – 1350 = Rs150; Discount% = (150/1500)×100 = 10% - A smartphone costing Rs15000 is sold for Rs15750. Find the profit percentage.
Solution: Profit = 15750 – 15000 = Rs750; Profit% = (750/15000)×100 = 5% - A tablet costing Rs12000 is sold for Rs10800. Find the loss percentage.
Solution: Loss = 12000 – 10800 = Rs1200; Loss% = (1200/12000)×100 = 10% - A printer costing Rs8000 is sold for Rs8400. Find the profit.
Solution: Profit = 8400 – 8000 = Rs400 - A scanner costing Rs5000 is sold for Rs4500. Find the loss.
Solution: Loss = 5000 – 4500 = Rs500 - A monitor costing Rs7000 is sold for Rs7700. Find the profit.
Solution: Profit = 7700 – 7000 = Rs700 - A keyboard costing Rs800 is sold for Rs720. Find the loss percentage.
Solution: Loss = 800 – 720 = Rs80; Loss% = (80/800)×100 = 10% - A mouse costing Rs300 is sold for Rs330. Find the profit.
Solution: Profit = 330 – 300 = Rs30 - A speaker costing Rs1500 is sold for Rs1350. Find the loss.
Solution: Loss = 1500 – 1350 = Rs150 - A headphone costing Rs1200 is sold for Rs1320. Find the profit percentage.
Solution: Profit = 1320 – 1200 = Rs120; Profit% = (120/1200)×100 = 10% - A microphone costing Rs2500 is sold for Rs2250. Find the loss percentage.
Solution: Loss = 2500 – 2250 = Rs250; Loss% = (250/2500)×100 = 10% - A camera costing Rs10000 is sold for Rs11000. Find the profit.
Solution: Profit = 11000 – 10000 = Rs1000 - A lens costing Rs5000 is sold for Rs4500. Find the loss.
Solution: Loss = 5000 – 4500 = Rs500 - A tripod costing Rs1500 is sold for Rs1650. Find the profit percentage.
Solution: Profit = 1650 – 1500 = Rs150; Profit% = (150/1500)×100 = 10% - A memory card costing Rs600 is sold for Rs540. Find the loss percentage.
Solution: Loss = 600 – 540 = Rs60; Loss% = (60/600)×100 = 10%
SHORT ANSWER TYPE – I QUESTIONS
- A shirt marked at Rs800 is given a discount of Rs120. Find the selling price.
Solution: SP = 800 – 120 = Rs680 - A jacket marked at Rs1200 is given a discount of Rs180. Find the selling price.
Solution: SP = 1200 – 180 = Rs1020 - A bag marked at Rs750 is offered at a discount of Rs75. Find the selling price.
Solution: SP = 750 – 75 = Rs675 - A watch marked at Rs1500 is discounted by Rs300. Find the selling price.
Solution: SP = 1500 – 300 = Rs1200 - A pair of shoes marked at Rs1000 is sold after a discount of Rs150. Find the selling price.
Solution: SP = 1000 – 150 = Rs850 - A mobile phone marked at Rs8000 is discounted by Rs800. Find the selling price.
Solution: SP = 8000 – 800 = Rs7200 - A laptop marked at Rs45000 is given a discount of Rs5000. Find the selling price.
Solution: SP = 45000 – 5000 = Rs40000 - A television marked at Rs30000 is sold at a discount of Rs4500. Find the selling price.
Solution: SP = 30000 – 4500 = Rs25500 - A refrigerator marked at Rs25000 is discounted by Rs2500. Find the selling price.
Solution: SP = 25000 – 2500 = Rs22500 - A microwave marked at Rs5000 is sold after a discount of Rs750. Find the selling price.
Solution: SP = 5000 – 750 = Rs4250 - A scooter marked at Rs60000 is offered at a discount of Rs6000. Find the selling price.
Solution: SP = 60000 – 6000 = Rs54000 - A bicycle marked at Rs4000 is sold at a discount of Rs400. Find the selling price.
Solution: SP = 4000 – 400 = Rs3600 - A watch marked at Rs2000 is discounted by Rs200. Find the selling price.
Solution: SP = 2000 – 200 = Rs1800 - A cap marked at Rs300 is sold after a discount of Rs30. Find the selling price.
Solution: SP = 300 – 30 = Rs270 - A pair of sunglasses marked at Rs1200 is discounted by Rs180. Find the selling price.
Solution: SP = 1200 – 180 = Rs1020 - A bracelet marked at Rs800 is offered at a discount of Rs80. Find the selling price.
Solution: SP = 800 – 80 = Rs720 - A ring marked at Rs1500 is sold at a discount of Rs150. Find the selling price.
Solution: SP = 1500 – 150 = Rs1350 - A handbag marked at Rs3500 is given a discount of Rs350. Find the selling price.
Solution: SP = 3500 – 350 = Rs3150 - A wallet marked at Rs1000 is sold after a discount of Rs100. Find the selling price.
Solution: SP = 1000 – 100 = Rs900 - A tie marked at Rs400 is discounted by Rs40. Find the selling price.
Solution: SP = 400 – 40 = Rs360 - A jacket marked at Rs1800 is offered at a discount of Rs270. Find the selling price.
Solution: SP = 1800 – 270 = Rs1530 - A pair of shoes marked at Rs2000 is given a discount of Rs300. Find the selling price.
Solution: SP = 2000 – 300 = Rs1700 - A mobile cover marked at Rs500 is sold after a discount of Rs50. Find the selling price.
Solution: SP = 500 – 50 = Rs450 - A bag marked at Rs900 is discounted by Rs90. Find the selling price.
Solution: SP = 900 – 90 = Rs810 - A T-shirt marked at Rs600 is offered at a discount of Rs60. Find the selling price.
Solution: SP = 600 – 60 = Rs540 - A dress marked at Rs1200 is sold after a discount of Rs180. Find the selling price.
Solution: SP = 1200 – 180 = Rs1020 - A skirt marked at Rs800 is discounted by Rs80. Find the selling price.
Solution: SP = 800 – 80 = Rs720 - A pair of jeans marked at Rs1500 is offered at a discount of Rs150. Find the selling price.
Solution: SP = 1500 – 150 = Rs1350 - A belt marked at Rs400 is sold after a discount of Rs40. Find the selling price.
Solution: SP = 400 – 40 = Rs360 - A wallet marked at Rs700 is given a discount of Rs70. Find the selling price.
Solution: SP = 700 – 70 = Rs630 - A cap marked at Rs250 is sold at a discount of Rs25. Find the selling price.
Solution: SP = 250 – 25 = Rs225 - A pair of gloves marked at Rs350 is discounted by Rs35. Find the selling price.
Solution: SP = 350 – 35 = Rs315 - A scarf marked at Rs500 is offered at a discount of Rs50. Find the selling price.
Solution: SP = 500 – 50 = Rs450 - A watch marked at Rs2500 is sold after a discount of Rs500. Find the selling price.
Solution: SP = 2500 – 500 = Rs2000 - A bracelet marked at Rs900 is discounted by Rs90. Find the selling price.
Solution: SP = 900 – 90 = Rs810 - A necklace marked at Rs1200 is given a discount of Rs240. Find the selling price.
Solution: SP = 1200 – 240 = Rs960 - A ring marked at Rs2000 is sold after a discount of Rs200. Find the selling price.
Solution: SP = 2000 – 200 = Rs1800 - A smartphone marked at Rs20000 is offered at a discount of Rs2000. Find the selling price.
Solution: SP = 20000 – 2000 = Rs18000 - A tablet marked at Rs15000 is sold after a discount of Rs1500. Find the selling price.
Solution: SP = 15000 – 1500 = Rs13500 - A laptop marked at Rs40000 is given a discount of Rs4000. Find the selling price.
Solution: SP = 40000 – 4000 = Rs36000 - A desktop marked at Rs35000 is sold after a discount of Rs3500. Find the selling price.
Solution: SP = 35000 – 3500 = Rs31500 - A printer marked at Rs8000 is offered at a discount of Rs800. Find the selling price.
Solution: SP = 8000 – 800 = Rs7200 - A scanner marked at Rs6000 is sold after a discount of Rs600. Find the selling price.
Solution: SP = 6000 – 600 = Rs5400 - A projector marked at Rs25000 is given a discount of Rs5000. Find the selling price.
Solution: SP = 25000 – 5000 = Rs20000 - A camera marked at Rs18000 is sold after a discount of Rs1800. Find the selling price.
Solution: SP = 18000 – 1800 = Rs16200 - A lens marked at Rs8000 is offered at a discount of Rs800. Find the selling price.
Solution: SP = 8000 – 800 = Rs7200 - A tripod marked at Rs3000 is sold after a discount of Rs300. Find the selling price.
Solution: SP = 3000 – 300 = Rs2700 - A microphone marked at Rs3500 is given a discount of Rs350. Find the selling price.
Solution: SP = 3500 – 350 = Rs3150 - A speaker marked at Rs4500 is sold after a discount of Rs450. Find the selling price.
Solution: SP = 4500 – 450 = Rs4050 - An earphone marked at Rs1500 is offered at a discount of Rs150. Find the selling price.
Solution: SP = 1500 – 150 = Rs1350
SHORT ANSWER TYPE – II QUESTIONS
- A watch is sold at a profit of 10% and its selling price is Rs1100. Find its cost price.
Solution: Let CP = x; 1.10x = 1100, so x = 1100/1.10 = Rs1000 - A mobile is sold at a profit of 20% and its selling price is Rs1200. Find its cost price.
Solution: 1.20x = 1200, so x = 1200/1.20 = Rs1000 - A calculator is sold at a profit of 25% and its selling price is Rs1250. Find its cost price.
Solution: 1.25x = 1250, so x = 1250/1.25 = Rs1000 - A radio is sold at a profit of 15% and its selling price is Rs1150. Find its cost price.
Solution: 1.15x = 1150, so x = 1150/1.15 = Rs1000 - A fridge is sold at a profit of 10% and its selling price is Rs5500. Find its cost price.
Solution: 1.10x = 5500, so x = 5500/1.10 = Rs5000 - A TV is sold at a profit of 20% and its selling price is Rs14400. Find its cost price.
Solution: 1.20x = 14400, so x = 14400/1.20 = Rs12000 - A laptop is sold at a profit of 15% and its selling price is Rs11500. Find its cost price.
Solution: 1.15x = 11500, so x = 11500/1.15 = Rs10000 - A printer is sold at a profit of 25% and its selling price is Rs2500. Find its cost price.
Solution: 1.25x = 2500, so x = 2500/1.25 = Rs2000 - A speaker is sold at a profit of 10% and its selling price is Rs1100. Find its cost price.
Solution: 1.10x = 1100, so x = 1100/1.10 = Rs1000 - A smartwatch is sold at a profit of 20% and its selling price is Rs1200. Find its cost price.
Solution: 1.20x = 1200, so x = 1200/1.20 = Rs1000 - A bag is marked at Rs750 and a discount of 12% is given. Find the discount amount and selling price.
Solution: Discount = 12% of 750 = 90; SP = 750 – 90 = Rs660 - A pair of shoes is marked at Rs1000 and a discount of 15% is offered. Find the discount amount and selling price.
Solution: Discount = 15% of 1000 = 150; SP = 1000 – 150 = Rs850 - A jacket is marked at Rs2000 and a discount of 10% is given. Find the discount amount and selling price.
Solution: Discount = 10% of 2000 = 200; SP = 2000 – 200 = Rs1800 - A cap is marked at Rs300 and a discount of 20% is offered. Find the discount amount and selling price.
Solution: Discount = 20% of 300 = 60; SP = 300 – 60 = Rs240 - A watch is marked at Rs1500 and a discount of 15% is given. Find the discount amount and selling price.
Solution: Discount = 15% of 1500 = 225; SP = 1500 – 225 = Rs1275 - A smartphone is marked at Rs8000 and a discount of 10% is offered. Find the discount amount and selling price.
Solution: Discount = 10% of 8000 = 800; SP = 8000 – 800 = Rs7200 - A tablet is marked at Rs6000 and a discount of 12% is given. Find the discount amount and selling price.
Solution: Discount = 12% of 6000 = 720; SP = 6000 – 720 = Rs5280 - A refrigerator is marked at Rs25000 and a discount of 8% is offered. Find the discount amount and selling price.
Solution: Discount = 8% of 25000 = 2000; SP = 25000 – 2000 = Rs23000 - A microwave is marked at Rs5000 and a discount of 10% is given. Find the discount amount and selling price.
Solution: Discount = 10% of 5000 = 500; SP = 5000 – 500 = Rs4500 - A fan is marked at Rs2000 and a discount of 5% is offered. Find the discount amount and selling price.
Solution: Discount = 5% of 2000 = 100; SP = 2000 – 100 = Rs1900 - A bicycle is marked at Rs4000 and a discount of 8% is given. Find the discount amount and selling price.
Solution: Discount = 8% of 4000 = 320; SP = 4000 – 320 = Rs3680 - A scooter is marked at Rs15000 and a discount of 12% is offered. Find the discount amount and selling price.
Solution: Discount = 12% of 15000 = 1800; SP = 15000 – 1800 = Rs13200 - A car is marked at Rs500000 and a discount of 5% is given. Find the discount amount and selling price.
Solution: Discount = 5% of 500000 = 25000; SP = 500000 – 25000 = Rs475000 - A computer is marked at Rs30000 and a discount of 20% is offered. Find the discount amount and selling price.
Solution: Discount = 20% of 30000 = 6000; SP = 30000 – 6000 = Rs24000 - A printer is marked at Rs8000 and a discount of 15% is given. Find the discount amount and selling price.
Solution: Discount = 15% of 8000 = 1200; SP = 8000 – 1200 = Rs6800 - A fan is sold at a profit of 12% and its selling price is Rs1120. Find its cost price.
Solution: 1.12x = 1120, so x = 1120/1.12 = Rs1000 - A kettle is sold at a profit of 18% and its selling price is Rs1180. Find its cost price.
Solution: 1.18x = 1180, so x = 1180/1.18 = Rs1000 - A mixer is sold at a profit of 22% and its selling price is Rs1220. Find its cost price.
Solution: 1.22x = 1220, so x = 1220/1.22 = Rs1000 - A toaster is sold at a profit of 15% and its selling price is Rs1150. Find its cost price.
Solution: 1.15x = 1150, so x = 1150/1.15 = Rs1000 - A blender is sold at a profit of 10% and its selling price is Rs1100. Find its cost price.
Solution: 1.10x = 1100, so x = 1100/1.10 = Rs1000 - A fan is marked at Rs1800 and a discount of 10% is given. Find the discount amount and selling price.
Solution: Discount = 10% of 1800 = 180; SP = 1800 – 180 = Rs1620 - A fridge is marked at Rs30000 and a discount of 8% is offered. Find the discount amount and selling price.
Solution: Discount = 8% of 30000 = 2400; SP = 30000 – 2400 = Rs27600 - A washing machine is marked at Rs25000 and a discount of 12% is given. Find the discount amount and selling price.
Solution: Discount = 12% of 25000 = 3000; SP = 25000 – 3000 = Rs22000 - A cooler is marked at Rs5000 and a discount of 15% is offered. Find the discount amount and selling price.
Solution: Discount = 15% of 5000 = 750; SP = 5000 – 750 = Rs4250 - A heater is marked at Rs4000 and a discount of 10% is given. Find the discount amount and selling price.
Solution: Discount = 10% of 4000 = 400; SP = 4000 – 400 = Rs3600 - A fan is sold at a profit of 8% and its selling price is Rs1080. Find its cost price.
Solution: 1.08x = 1080, so x = 1080/1.08 = Rs1000 - A refrigerator is sold at a profit of 12% and its selling price is Rs1120. Find its cost price.
Solution: 1.12x = 1120, so x = 1120/1.12 = Rs1000 - A microwave is sold at a profit of 18% and its selling price is Rs1180. Find its cost price.
Solution: 1.18x = 1180, so x = 1180/1.18 = Rs1000 - A blender is sold at a profit of 20% and its selling price is Rs1200. Find its cost price.
Solution: 1.20x = 1200, so x = 1200/1.20 = Rs1000 - A vacuum cleaner is sold at a profit of 15% and its selling price is Rs1150. Find its cost price.
Solution: 1.15x = 1150, so x = 1150/1.15 = Rs1000 - A fan is marked at Rs2200 and a discount of 10% is given. Find the discount amount and selling price.
Solution: Discount = 10% of 2200 = 220; SP = 2200 – 220 = Rs1980 - A mixer grinder is marked at Rs2500 and a discount of 12% is offered. Find the discount amount and selling price.
Solution: Discount = 12% of 2500 = 300; SP = 2500 – 300 = Rs2200 - A pressure cooker is marked at Rs1500 and a discount of 8% is given. Find the discount amount and selling price.
Solution: Discount = 8% of 1500 = 120; SP = 1500 – 120 = Rs1380 - A sandwich maker is marked at Rs2000 and a discount of 10% is offered. Find the discount amount and selling price.
Solution: Discount = 10% of 2000 = 200; SP = 2000 – 200 = Rs1800 - A coffee maker is marked at Rs3000 and a discount of 15% is given. Find the discount amount and selling price.
Solution: Discount = 15% of 3000 = 450; SP = 3000 – 450 = Rs2550 - A juicer is marked at Rs2500 and a discount of 20% is offered. Find the discount amount and selling price.
Solution: Discount = 20% of 2500 = 500; SP = 2500 – 500 = Rs2000 - A sandwich toaster is marked at Rs1800 and a discount of 10% is given. Find the discount amount and selling price.
Solution: Discount = 10% of 1800 = 180; SP = 1800 – 180 = Rs1620 - A rice cooker is marked at Rs2200 and a discount of 12% is offered. Find the discount amount and selling price.
Solution: Discount = 12% of 2200 = 264; SP = 2200 – 264 = Rs1936 - A bread maker is marked at Rs2800 and a discount of 15% is given. Find the discount amount and selling price.
Solution: Discount = 15% of 2800 = 420; SP = 2800 – 420 = Rs2380 - A deep fryer is marked at Rs3200 and a discount of 10% is offered. Find the discount amount and selling price.
Solution: Discount = 10% of 3200 = 320; SP = 3200 – 320 = Rs2880
LONG ANSWER TYPE QUESTIONS
- A bicycle was sold for Rs3450 after allowing a discount of 8%. Find its marked price.
Solution: Let marked price = x. Then, SP = 92% of x = (92/100)x = 3450, so x = (3450×100)/92 = Rs3750 - Rajesh bought two fans for a total cost of Rs3200. He sold one at a gain of 10% and the other at a loss of 10%, receiving the same selling price for both. Find the cost price of each fan.
Solution: Let CPs be x and (3200 – x). Equate selling prices: 1.10x = 0.90(3200 – x) → 1.10x = 2880 – 0.90x → 2x = 2880 → x = Rs1440 and the other CP = 3200 – 1440 = Rs1760 - A trader marks his goods so that after giving a 20% discount, he earns a profit of 25%. If the cost price is Rs16000, find the marked price.
Solution: Required SP = 16000×1.25 = Rs20000; since SP is 80% of marked price, marked price = 20000/0.80 = Rs25000 - A shopkeeper sells a mobile at a profit of 15% after giving a 10% discount on the marked price. If the cost price is Rs8000, find the marked price.
Solution: Desired SP = 8000×1.15 = Rs9200; since SP = 90% of marked price, marked price = 9200/0.90 ≈ Rs10222.22 - A trader sells an article at a 20% profit after a 25% discount on the marked price. If the cost price is Rs960, find the marked price.
Solution: SP = 960×1.20 = Rs1152; since SP = 75% of marked price, marked price = 1152/0.75 = Rs1536 - A merchant buys an article for Rs5000 and marks it to yield a 30% profit after a 15% discount. Find the marked price.
Solution: Desired SP = 5000×1.30 = Rs6500; SP = 85% of marked price, so marked price = 6500/0.85 ≈ Rs7647.06 - A trader offers a 10% discount on the marked price yet earns a 20% profit on the cost price of Rs2500. Find the marked price.
Solution: SP = 2500×1.20 = Rs3000; since SP = 90% of marked price, marked price = 3000/0.90 ≈ Rs3333.33 - A shopkeeper marks an article 40% above cost. If he offers a 20% discount, what is his profit percentage?
Solution: Marked price = 1.40×CP; SP = 0.80×(1.40×CP) = 1.12×CP; Profit% = 12% - A trader buys goods for Rs24000 and marks them 50% above cost. After a 20% discount, what is his profit percentage?
Solution: Marked price = 24000×1.50 = Rs36000; SP = 36000×0.80 = Rs28800; Profit = 28800 – 24000 = Rs4800; Profit% = (4800/24000)×100 = 20% - A retailer buys a product for Rs1250 and marks it at Rs1500. If he sells it with a 10% discount, what is his profit percentage?
Solution: SP = 1500 – 150 = Rs1350; Profit = 1350 – 1250 = Rs100; Profit% = (100/1250)×100 = 8% - A trader buys an article for Rs2000 and marks it 40% above cost. After a 20% discount, what is his profit percentage?
Solution: Marked price = 2000×1.40 = Rs2800; SP = 2800×0.80 = Rs2240; Profit = 2240 – 2000 = Rs240; Profit% = (240/2000)×100 = 12% - A shopkeeper wishes to earn an 18% profit. He marks the article 30% above cost and offers a 10% discount. What is his actual profit percentage?
Solution: Marked price = 1.30×CP; SP = 0.90×(1.30×CP) = 1.17×CP; Profit% ≈ 17% - A trader marks an article at Rs8000 and sells it at a 15% discount to earn a 10% profit. Find the cost price.
Solution: SP = 8000×0.85 = Rs6800; 6800 = 1.10×CP so CP = 6800/1.10 ≈ Rs6181.82 - A mobile is sold at a 12% profit after a 10% discount on the marked price. If the cost price is Rs5000, find the marked price.
Solution: SP = 5000×1.12 = Rs5600; SP = 0.90×(Marked Price), so Marked Price = 5600/0.90 ≈ Rs6222.22 - A trader marks his goods 50% above cost and gives a 25% discount. What is his profit percentage?
Solution: SP = CP×1.50×0.75 = 1.125×CP; Profit% = 12.5% - An article marked at Rs10000 is sold at a 30% discount and yields a 20% profit. Find the cost price.
Solution: SP = 10000×0.70 = Rs7000; 7000 = 1.20×CP so CP = 7000/1.20 ≈ Rs5833.33 - A retailer buys a product for Rs800 and marks it 60% above cost. After a 20% discount, find his profit percentage.
Solution: Marked price = 800×1.60 = Rs1280; SP = 1280×0.80 = Rs1024; Profit = 1024 – 800 = Rs224; Profit% = (224/800)×100 = 28% - A trader buys an article for Rs4500 and marks it at Rs6000. After a 10% discount, what is his profit percentage?
Solution: SP = 6000 – 600 = Rs5400; Profit = 5400 – 4500 = Rs900; Profit% = (900/4500)×100 = 20% - A merchant buys a gadget for Rs1500. To earn a 5% profit after a 15% discount, what should be the marked price?
Solution: Desired SP = 1500×1.05 = Rs1575; SP = 85% of marked price, so marked price = 1575/0.85 ≈ Rs1852.94 - A trader marks his goods 30% above cost. After a 10% discount, he makes a 15% profit. If the marked price is Rs1320, find the cost price.
Solution: SP = 1320 – 132 = Rs1188; 1188 = 1.15×CP, so CP = 1188/1.15 ≈ Rs1033.91 - A product bought for Rs2700 is marked 40% above cost. After a 25% discount, what is the profit percentage?
Solution: Marked price = 2700×1.40 = Rs3780; SP = 3780×0.75 = Rs2835; Profit = 2835 – 2700 = Rs135; Profit% = (135/2700)×100 = 5% - A trader buys a product for Rs3200 and marks it 50% above cost. After a 20% discount, find the profit percentage.
Solution: Marked price = 3200×1.50 = Rs4800; SP = 4800×0.80 = Rs3840; Profit = 3840 – 3200 = Rs640; Profit% = (640/3200)×100 = 20% - A merchant buys an item for Rs9000 and marks it 60% above cost. With a 25% discount, what is his profit percentage?
Solution: Marked price = 9000×1.60 = Rs14400; SP = 14400×0.75 = Rs10800; Profit = 10800 – 9000 = Rs1800; Profit% = (1800/9000)×100 = 20% - A retailer marks an article 70% above cost and offers a 30% discount. If the cost price is Rs2000, what is the profit percentage?
Solution: Marked price = 2000×1.70 = Rs3400; SP = 3400×0.70 = Rs2380; Profit = 2380 – 2000 = Rs380; Profit% = (380/2000)×100 = 19% - A trader marks his product 80% above cost and sells it after a 50% discount. If the cost price is Rs500, find the profit or loss percentage.
Solution: Marked price = 500×1.80 = Rs900; SP = 900×0.50 = Rs450; Loss = 500 – 450 = Rs50; Loss% = (50/500)×100 = 10% - A dealer buys a vehicle for Rs300000 and marks it 20% above cost. After a 15% discount, what is his profit percentage?
Solution: Marked price = 300000×1.20 = Rs360000; SP = 360000×0.85 = Rs306000; Profit = 306000 – 300000 = Rs6000; Profit% = (6000/300000)×100 = 2% - A merchant buys a watch for Rs2000 and marks it at Rs2400. If he sells it with a 25% discount, what is his profit or loss percentage?
Solution: SP = 2400 – (0.25×2400) = 2400 – 600 = Rs1800; Loss = 2000 – 1800 = Rs200; Loss% = (200/2000)×100 = 10% - A trader buys an item for Rs750 and marks it 60% above cost. If he offers a 10% discount, what is his profit percentage?
Solution: Marked price = 750×1.60 = Rs1200; SP = 1200×0.90 = Rs1080; Profit = 1080 – 750 = Rs330; Profit% = (330/750)×100 = 44% - A seller marks a product 50% above cost and sells it with a 10% discount. If the cost price is Rs800, find the profit percentage.
Solution: Marked price = 800×1.50 = Rs1200; SP = 1200×0.90 = Rs1080; Profit = 1080 – 800 = Rs280; Profit% = (280/800)×100 = 35% - A trader marks his goods 25% above cost and offers a 5% discount. If the cost price is Rs1000, what is his profit percentage?
Solution: Marked price = 1000×1.25 = Rs1250; SP = 1250×0.95 = Rs1187.50; Profit = 1187.50 – 1000 = Rs187.50; Profit% = (187.5/1000)×100 = 18.75% - A merchant buys an article for Rs1800 and marks it at Rs2250. If he offers a 20% discount, what is his profit percentage?
Solution: SP = 2250×0.80 = Rs1800; Profit = 1800 – 1800 = Rs0; Profit% = 0% - A trader marks an article 30% above cost. If he gives a 20% discount and makes a profit of Rs300, find the cost price.
Solution: Let CP = x; Marked = 1.30x; SP = 1.30x×0.80 = 1.04x; Profit = 1.04x – x = 0.04x = 300, so x = 300/0.04 = Rs7500 - A shopkeeper marks an article at Rs5000 and gives a 20% discount. If he makes a profit of 10%, what is the cost price?
Solution: SP = 5000×0.80 = Rs4000; 4000 = 1.10×CP, so CP = 4000/1.10 ≈ Rs3636.36 - A product is marked at Rs8500 and sold after a 15% discount. If the profit is 5% on cost, find the cost price.
Solution: SP = 8500×0.85 = Rs7225; 7225 = 1.05×CP, so CP = 7225/1.05 ≈ Rs6880.95 - A trader buys an article for Rs3500, marks it 50% above cost, and sells it after a 20% discount. Find his profit percentage.
Solution: Marked = 3500×1.50 = Rs5250; SP = 5250×0.80 = Rs4200; Profit = 4200 – 3500 = Rs700; Profit% = (700/3500)×100 = 20% - A trader bought an article for Rs4000 and marked it at Rs5000. If he sold it after a 15% discount, what is his profit percentage?
Solution: SP = 5000 – (0.15×5000) = Rs4250; Profit = 4250 – 4000 = Rs250; Profit% = (250/4000)×100 = 6.25% - A merchant buys a product for Rs2800 and marks it at Rs3500. If he offers a 10% discount, what is his profit percentage?
Solution: SP = 3500×0.90 = Rs3150; Profit = 3150 – 2800 = Rs350; Profit% = (350/2800)×100 = 12.5% - A trader marks a product at Rs6000 and sells it with a 25% discount, making a profit of Rs900. Find the cost price.
Solution: SP = 6000×0.75 = Rs4500; CP = 4500 – 900 = Rs3600 - A retailer buys a product for Rs5200 and marks it 30% above cost. After a 10% discount, what is his profit percentage?
Solution: Marked = 5200×1.30 = Rs6760; SP = 6760×0.90 = Rs6084; Profit = 6084 – 5200 = Rs884; Profit% ≈ (884/5200)×100 ≈ 17% - A trader buys a product for Rs7500 and marks it 20% above cost. With a 5% discount, find the profit percentage.
Solution: Marked = 7500×1.20 = Rs9000; SP = 9000×0.95 = Rs8550; Profit = 8550 – 7500 = Rs1050; Profit% = (1050/7500)×100 = 14% - A merchant marks an item at Rs9800 and gives a 20% discount. If his profit is Rs980, find the cost price.
Solution: SP = 9800×0.80 = Rs7840; CP = 7840 – 980 = Rs6860 - A trader marks his product 60% above cost and sells it after a 30% discount, earning a profit of 12%. If the marked price is Rs10400, find the cost price.
Solution: SP = 10400×0.70 = Rs7280; CP = 7280/1.12 ≈ Rs6500 - A product is bought for Rs4600 and marked 45% above cost. After a 15% discount, what is the profit percentage?
Solution: Marked = 4600×1.45 = Rs6670; SP = 6670×0.85 = Rs5669.5; Profit = 5669.5 – 4600 = Rs1069.5; Profit% ≈ (1069.5/4600)×100 ≈ 23.24% - A trader marks an article 35% above cost and sells it with a 10% discount, earning a profit of Rs350. Find the cost price.
Solution: Let CP = x; Marked = 1.35x; SP = 0.90×1.35x = 1.215x; Profit = 1.215x – x = 0.215x = 350, so x = 350/0.215 ≈ Rs1627.91 - A retailer buys an item for Rs3200 and marks it 25% above cost. With a 15% discount, what is his profit percentage?
Solution: Marked = 3200×1.25 = Rs4000; SP = 4000×0.85 = Rs3400; Profit = 3400 – 3200 = Rs200; Profit% = (200/3200)×100 = 6.25% - A trader buys an article for Rs1800 and marks it at Rs2250. If he sells it at a 20% discount, what is his profit percentage?
Solution: SP = 2250×0.80 = Rs1800; Profit = 1800 – 1800 = Rs0; Profit% = 0% - A merchant buys an article for Rs950 and marks it 50% above cost. With a 20% discount, what is his profit percentage?
Solution: Marked = 950×1.50 = Rs1425; SP = 1425×0.80 = Rs1140; Profit = 1140 – 950 = Rs190; Profit% = (190/950)×100 = 20% - A trader marks his product at Rs3000 and gives a 10% discount. To earn a 20% profit, what should be the cost price?
Solution: SP = 3000×0.90 = Rs2700; For 20% profit, CP = 2700/1.20 = Rs2250 - A seller buys an item for Rs2200 and marks it 40% above cost. After a 25% discount, what is the profit percentage?
Solution: Marked = 2200×1.40 = Rs3080; SP = 3080×0.75 = Rs2310; Profit = 2310 – 2200 = Rs110; Profit% = (110/2200)×100 = 5% - A trader buys a gadget for Rs5000 and marks it 70% above cost. With a 20% discount, what is his profit percentage?
Solution: Marked = 5000×1.70 = Rs8500; SP = 8500×0.80 = Rs6800; Profit = 6800 – 5000 = Rs1800; Profit% = (1800/5000)×100 = 36%
You now have 50 examples in each of the four types. These exercises cover a wide range of profit, loss, discount, and marked price problems. Happy practicing!
Visit here for The Questionnaire.
You can download The PDF here
Please find TENSE WORKSHEET HERE.
Please find West Bengal Board Butterfly Class 4 Questions & Answers Here.
Visit Conjunction Worksheet here.
I am a passionate educator, writer, and lifelong learner dedicated to making quality education accessible to all. With a deep-rooted commitment to empowering students and educators alike, I have spent 8 years in the field of education, specializing in your expertise, e.g., K-12 learning, UPSC preparation, or curriculum development.
Latest posts by Ankita Ghosh (see all)
- Meenakshi Temple History: From Ancient Origins to Present Glory - April 20, 2025
- Badrinath Temple History: A Sacred Journey Through Time, Mythology, and Devotion - April 20, 2025
- Hindi Grammar Ling Worksheets - April 20, 2025
1 thought on “profit and loss questions for class 5 – Answer Sheet”