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!
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