Profit, Loss & Discount Practice

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Practice Profit, Loss & Discount the Exam Way

Use the sectional sessions to isolate direct profit-loss, discount and marked price, false weights and mixtures, and advanced aptitude cases. Then switch to the full mixed mock to test speed and pattern recognition together.

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Basic Profit
1. A shopkeeper buys a calculator for Rs 800 and sells it for Rs 920. What is the profit percentage?
- A. 12%
- B. 15% (Correct)
- C. 18%
- D. 20%
Explanation: Profit $=120$. Profit\% $=\frac{120}{800}\times100=15\%$.
Reverse Loss
2. A lamp is sold for Rs 1,260 at a loss of 10%. What was its cost price?
- A. Rs 1,300
- B. Rs 1,350
- C. Rs 1,400 (Correct)
- D. Rs 1,450
Explanation: $CP=1260\times\frac{100}{90}=1400$.
Articles Shortcut
3. The cost price of 18 articles equals the selling price of 15 articles. The profit percentage is:
- A. 16%
- B. 18%
- C. 20% (Correct)
- D. 25%
Explanation: Profit\% $=\frac{18-15}{15}\times100=20\%$.
Selling Price
4. An article is sold at 25% gain. If its cost price is Rs 640, the selling price is:
- A. Rs 760
- B. Rs 780
- C. Rs 800 (Correct)
- D. Rs 820
Explanation: $SP=640\times\frac{125}{100}=800$.
Equal SP Case
5. A trader sells two items at the same selling price. On one he gains 20% and on the other he loses 20%. His overall result is:
- A. No profit no loss
- B. 4% loss (Correct)
- C. 4% gain
- D. 2% loss
Explanation: Equal $\pm x\%$ gives loss $=\frac{20^2}{100}=4\%$.
Buying and Selling Rate
6. A fruit seller buys oranges at 4 for Rs 20 and sells them at 5 for Rs 30. His gain percentage is:
- A. 16%
- B. 20% (Correct)
- C. 25%
- D. 30%
Explanation: CP each $=5$, SP each $=6$, so gain is 20%.
SP as Fraction of CP
7. If the selling price of an article is 125% of its cost price, then the gain percentage is:
- A. 20%
- B. 22%
- C. 25% (Correct)
- D. 30%
Explanation: If $SP=1.25\times CP$, gain is 25%.
Bulk Sale
8. A trader buys 100 pens for Rs 900 and sells all for Rs 1,080. His net gain is:
- A. 15%
- B. 18%
- C. 20% (Correct)
- D. 22%
Explanation: Gain $=180$ and gain\% $=\frac{180}{900}\times100=20\%$.
Reverse Profit
9. A shirt is sold for Rs 1,530 after a profit of 20%. Its cost price is:
- A. Rs 1,225
- B. Rs 1,250
- C. Rs 1,275 (Correct)
- D. Rs 1,300
Explanation: $CP=1530\times\frac{100}{120}=1275$.
Loss Fraction
10. A merchant loses 12.5% by selling a fan for Rs 1,050. The cost price is:
- A. Rs 1,150
- B. Rs 1,180
- C. Rs 1,200 (Correct)
- D. Rs 1,220
Explanation: 12.5% loss means $SP=\frac{7}{8}$ of CP, so $CP=1050\times\frac{8}{7}=1200$.
Marked Price
11. A dress marked Rs 2,400 is sold at 15% discount. Find the selling price.
- A. Rs 2,000
- B. Rs 2,020
- C. Rs 2,040 (Correct)
- D. Rs 2,100
Explanation: $SP=2400\times0.85=2040$.
Reverse Marked Price
12. An article is sold for Rs 1,710 after a 10% discount. Its marked price is:
- A. Rs 1,800
- B. Rs 1,850
- C. Rs 1,900 (Correct)
- D. Rs 2,000
Explanation: $MP=1710\times\frac{100}{90}=1900$.
Equivalent Discount
13. Two successive discounts of 20% and 10% are equivalent to a single discount of:
- A. 28% (Correct)
- B. 30%
- C. 32%
- D. 35%
Explanation: Net discount $=20+10-2=28\%$.
Successive Discount Value
14. A trader allows 10% and 5% successive discounts on an item marked Rs 4,000. The selling price is:
- A. Rs 3,380
- B. Rs 3,400
- C. Rs 3,420 (Correct)
- D. Rs 3,500
Explanation: $SP=4000\times0.9\times0.95=3420$.
Target Gain After Discount
15. A store wants 25% gain after allowing 20% discount. The marked price should be what percent of cost price?
- A. 140%
- B. 150%
- C. 156.25% (Correct)
- D. 160%
Explanation: Take $CP=100$. Needed $SP=125$. $MP=\frac{125}{0.8}=156.25$.
Three Discounts
16. An item marked Rs 5,000 is available at successive discounts of 10%, 10%, and 20%. Customer pays:
- A. Rs 3,200
- B. Rs 3,240 (Correct)
- C. Rs 3,400
- D. Rs 3,600
Explanation: $SP=5000\times0.9\times0.9\times0.8=3240$.
Markup and Discount
17. A dealer marks goods 30% above cost price and gives 10% discount. His gain percentage is:
- A. 15%
- B. 17% (Correct)
- C. 17.5%
- D. 20%
Explanation: Net factor $=1.3\times0.9=1.17$, so gain is 17%.
Profit Despite Discount
18. If an article sold for Rs 2,280 at 5% discount still gives 20% profit, its cost price is:
- A. Rs 1,800
- B. Rs 1,850
- C. Rs 1,900 (Correct)
- D. Rs 1,950
Explanation: The actual selling price is Rs 2,280. $CP=2280\times\frac{100}{120}=1900$.
Offer Comparison
19. Which is better for a customer?
- A. 30% then 10%
- B. 35% then 5% (Correct)
- C. Both same
- D. Cannot compare
Explanation: Offer A gives 37% off and Offer B gives 38.25% off, so B is better.
Discount Difference
20. The difference between a single 30% discount and successive 20% and 10% discounts on Rs 6,000 is:
- A. Rs 0
- B. Rs 60
- C. Rs 120 (Correct)
- D. Rs 180
Explanation: Single discount price $=4200$. Successive discount price $=4320$. Difference $=120$.
False Weight
21. A dishonest dealer claims to sell at cost price but uses 960 g instead of 1 kg. His gain percentage is:
- A. 4%
- B. 4.16% (Correct)
- C. 4.5%
- D. 5%
Explanation: Gain\% $=\frac{40}{960}\times100=4.166\ldots\%$.
False Weight
22. A trader uses a weight of 900 g for 1 kg while selling at cost price. His gain percentage is:
- A. 10%
- B. 11.11% (Correct)
- C. 12.5%
- D. 9.09%
Explanation: Gain\% $=\frac{100}{900}\times100=11.11\ldots\%$.
Mixture Cost Price
23. A dealer gains 25% after mixing two varieties of rice costing Rs 18/kg and Rs 22/kg in the ratio 3:2. The selling price per kg is:
- A. Rs 24.50 (Correct)
- B. Rs 25
- C. Rs 25.50
- D. Rs 26
Explanation: Average CP $=19.6$. For 25% gain, $SP=19.6\times1.25=24.5$.
Mixture Sale
24. A merchant buys 40 kg sugar at Rs 36/kg and 60 kg sugar at Rs 44/kg. At what price per kg should he sell the mixture to gain 20%?
- A. Rs 45.60
- B. Rs 46.80
- C. Rs 48.00 (Correct)
- D. Rs 49.20
Explanation: Average CP $=40$. For 20% gain, $SP=48$.
Weighted Result
25. A stock is sold: 40% at 20% gain and the rest at 10% loss. Overall result is:
- A. 2% loss
- B. 2% gain (Correct)
- C. 4% loss
- D. 4% gain
Explanation: Overall\% $=0.4\times20+0.6\times(-10)=2\%$ gain.
Repair and Resale
26. A trader buys an article for Rs 2,400, spends Rs 180 on repair, then sells it for Rs 2,898. Gain percentage is:
- A. 10%
- B. 12%
- C. 12.33% (Correct)
- D. 15%
Explanation: Total CP $=2580$ and gain $=318$. Gain\% $=\frac{318}{2580}\times100=12.33\%$.
Partial Stock
27. Out of total stock, one-third is sold at 10% loss. At what profit percent should the remaining stock be sold to gain 20% overall?
- A. 30%
- B. 35% (Correct)
- C. 40%
- D. 45%
Explanation: $\frac{1}{3}(-10)+\frac{2}{3}x=20$ gives $x=35\%$.
False Weight with Discount
28. A seller marks goods 25% above cost price, gives 10% discount, and also delivers only 900 g for 1 kg. Effective gain percentage is:
- A. 20%
- B. 25% (Correct)
- C. 30%
- D. 38.89%
Explanation: Price factor $=1.25\times0.9=1.125$ for only 0.9 kg delivered. Effective factor per true kg $=\frac{1.125}{0.9}=1.25$.
Weighted Result
29. A merchant sells 80% items at 15% gain and 20% items at 20% loss. Net result:
- A. 8% gain (Correct)
- B. 8% loss
- C. 7% gain
- D. 6% gain
Explanation: Overall\% $=0.8\times15+0.2\times(-20)=8\%$ gain.
Average Profit per Item
30. A trader bought 120 items at Rs 110 each. He earned Rs 360 on 30 items, Rs 1,050 on 75 items, and lost Rs 105 on the rest. Average profit per item is:
- A. Rs 9
- B. Rs 10.875 (Correct)
- C. Rs 11.25
- D. Rs 12
Explanation: Net profit $=1305$. Average per item $=\frac{1305}{120}=10.875$.
Equal Gain and Loss Amount
31. An article sold for Rs 4,250 gives the same numerical profit as the loss when sold for Rs 3,650. Find the cost price.
- A. Rs 3,850
- B. Rs 3,900
- C. Rs 3,950 (Correct)
- D. Rs 4,000
Explanation: $CP=\frac{4250+3650}{2}=3950$.
Chain Trade
32. A product goes from manufacturer to wholesaler to retailer at gains of 10%, 20%, and 25% respectively. If final price is Rs 3,300, manufacturing cost was:
- A. Rs 2,000 (Correct)
- B. Rs 2,100
- C. Rs 2,200
- D. Rs 2,250
Explanation: Original cost $=\frac{3300}{1.1\times1.2\times1.25}=2000$.
Fake Note
33. A dealer quotes Rs 45 for an article costing Rs 30. A fake Rs 50 note is used and Rs 5 change is returned. Total loss is:
- A. Rs 35 (Correct)
- B. Rs 45
- C. Rs 50
- D. Rs 80
Explanation: Loss consists of article cost and returned change, so total loss is Rs 35.
Stock Recovery
34. A trader sells 40% of his stock at 20% loss. At what markup on the remaining stock should he sell to gain 25% overall?
- A. 45%
- B. 50%
- C. 55% (Correct)
- D. 60%
Explanation: Take total CP $=100$. 40% sold at 20% loss gives SP $=32$. Needed total SP $=125$. So remaining 60 must sell for 93, giving gain $=\frac{33}{60}\times100=55\%$.
Net Discount
35. A customer gets 10% happy-hour discount and then 5% bill discount. Effective discount is:
- A. 14%
- B. 14.5% (Correct)
- C. 14.75%
- D. 15%
Explanation: Net discount $=10+5-\frac{10\times5}{100}=14.5\%$.
Required List Price Rise
36. A shopkeeper increases list price by what percent so that after a 10% discount he gets the old listed price?
- A. 9.09%
- B. 10%
- C. 11.11% (Correct)
- D. 12.5%
Explanation: Need new MP $\times0.9=$ old MP. So new MP is $\frac{1}{0.9}=111.11\%$ of old MP.
Equal SP Case
37. Two articles sell for Rs 12,000 each, one at 20% loss and one at 20% gain. Net result is:
- A. No profit no loss
- B. Rs 800 loss
- C. Rs 1,000 loss (Correct)
- D. Rs 1,200 loss
Explanation: Their CPs are Rs 15,000 and Rs 10,000. Total CP $=25,000$, total SP $=24,000$, so loss is Rs 1,000.
Successive Discount Value
38. A trader allows 30% and 6% successive discounts on Rs 700. Final price is:
- A. Rs 450.80
- B. Rs 460.60 (Correct)
- C. Rs 470.40
- D. Rs 480.20
Explanation: $SP=700\times0.7\times0.94=460.60$.
Two Equal Discounts
39. If an article listed at Rs 900 is sold at two successive discounts of 8% and 8%, the price paid is:
- A. Rs 756.44
- B. Rs 761.76 (Correct)
- C. Rs 768
- D. Rs 774
Explanation: $SP=900\times0.92\times0.92=761.76$.
Target Markup
40. A trader wants 33% gain after allowing 5% discount. Required markup percentage is closest to:
- A. 35%
- B. 38%
- C. 40% (Correct)
- D. 43%
Explanation: Take $CP=100$ and needed $SP=133$. $MP=\frac{133}{95}=1.4$ of CP, so markup is about 40%.
Reverse Profit
41. An article is sold for Rs 2,875 at a profit of 15%. What is its cost price?
- A. Rs 2,400
- B. Rs 2,450
- C. Rs 2,500 (Correct)
- D. Rs 2,550
Explanation: $SP=115\%$ of CP. $CP=2875\times\frac{100}{115}=2500$.
Discount and Profit
42. A shopkeeper marks an item 60% above cost and gives a 25% discount. His profit percentage is:
- A. 15%
- B. 18%
- C. 20% (Correct)
- D. 25%
Explanation: Take CP = 100. MP = 160 and SP after 25% discount = $160\times0.75=120$. Profit = 20%.
Successive Discounts
43. A single discount equivalent to successive discounts of 12.5% and 20% is:
- A. 30% (Correct)
- B. 32.5%
- C. 35%
- D. 37.5%
Explanation: Use multiplier: $0.875\times0.8=0.7$. Customer pays 70%, so equivalent discount is 30%.
False Weight
44. A dealer sells at 10% profit but uses 880 g as 1 kg. His effective profit percentage is closest to:
- A. 20%
- B. 22.5%
- C. 25% (Correct)
- D. 28%
Explanation: For 880 g cost, he charges for 1 kg with 10% profit. Effective factor $=1.10/0.88=1.25$. So effective profit is 25%.
Equal SP Case
45. Two items are sold for Rs 9,600 each. One is sold at 20% gain and the other at 20% loss. What is the net result?
- A. No profit no loss
- B. Rs 600 loss
- C. Rs 800 loss (Correct)
- D. Rs 1,000 loss
Explanation: CP of gain item $=9600/1.2=8000$. CP of loss item $=9600/0.8=12000$. Total CP = 20000, total SP = 19200, so loss = Rs 800.

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Practice Profit, Loss & Discount the Exam Way

Full Mock

40-question mixed challenge

One question at a time, 60 seconds per question, with score and accuracy at the end.

Preview all 45 questions in Practice Profit, Loss & Discount the Exam Way (no login required)

Basic Profit
1. A shopkeeper buys a calculator for Rs 800 and sells it for Rs 920. What is the profit percentage?
- A. 12%
- B. 15% (Correct)
- C. 18%
- D. 20%
Explanation: Profit $=120$. Profit\% $=\frac{120}{800}\times100=15\%$.
Reverse Loss
2. A lamp is sold for Rs 1,260 at a loss of 10%. What was its cost price?
- A. Rs 1,300
- B. Rs 1,350
- C. Rs 1,400 (Correct)
- D. Rs 1,450
Explanation: $CP=1260\times\frac{100}{90}=1400$.
Articles Shortcut
3. The cost price of 18 articles equals the selling price of 15 articles. The profit percentage is:
- A. 16%
- B. 18%
- C. 20% (Correct)
- D. 25%
Explanation: Profit\% $=\frac{18-15}{15}\times100=20\%$.
Selling Price
4. An article is sold at 25% gain. If its cost price is Rs 640, the selling price is:
- A. Rs 760
- B. Rs 780
- C. Rs 800 (Correct)
- D. Rs 820
Explanation: $SP=640\times\frac{125}{100}=800$.
Equal SP Case
5. A trader sells two items at the same selling price. On one he gains 20% and on the other he loses 20%. His overall result is:
- A. No profit no loss
- B. 4% loss (Correct)
- C. 4% gain
- D. 2% loss
Explanation: Equal $\pm x\%$ gives loss $=\frac{20^2}{100}=4\%$.
Buying and Selling Rate
6. A fruit seller buys oranges at 4 for Rs 20 and sells them at 5 for Rs 30. His gain percentage is:
- A. 16%
- B. 20% (Correct)
- C. 25%
- D. 30%
Explanation: CP each $=5$, SP each $=6$, so gain is 20%.
SP as Fraction of CP
7. If the selling price of an article is 125% of its cost price, then the gain percentage is:
- A. 20%
- B. 22%
- C. 25% (Correct)
- D. 30%
Explanation: If $SP=1.25\times CP$, gain is 25%.
Bulk Sale
8. A trader buys 100 pens for Rs 900 and sells all for Rs 1,080. His net gain is:
- A. 15%
- B. 18%
- C. 20% (Correct)
- D. 22%
Explanation: Gain $=180$ and gain\% $=\frac{180}{900}\times100=20\%$.
Reverse Profit
9. A shirt is sold for Rs 1,530 after a profit of 20%. Its cost price is:
- A. Rs 1,225
- B. Rs 1,250
- C. Rs 1,275 (Correct)
- D. Rs 1,300
Explanation: $CP=1530\times\frac{100}{120}=1275$.
Loss Fraction
10. A merchant loses 12.5% by selling a fan for Rs 1,050. The cost price is:
- A. Rs 1,150
- B. Rs 1,180
- C. Rs 1,200 (Correct)
- D. Rs 1,220
Explanation: 12.5% loss means $SP=\frac{7}{8}$ of CP, so $CP=1050\times\frac{8}{7}=1200$.
Marked Price
11. A dress marked Rs 2,400 is sold at 15% discount. Find the selling price.
- A. Rs 2,000
- B. Rs 2,020
- C. Rs 2,040 (Correct)
- D. Rs 2,100
Explanation: $SP=2400\times0.85=2040$.
Reverse Marked Price
12. An article is sold for Rs 1,710 after a 10% discount. Its marked price is:
- A. Rs 1,800
- B. Rs 1,850
- C. Rs 1,900 (Correct)
- D. Rs 2,000
Explanation: $MP=1710\times\frac{100}{90}=1900$.
Equivalent Discount
13. Two successive discounts of 20% and 10% are equivalent to a single discount of:
- A. 28% (Correct)
- B. 30%
- C. 32%
- D. 35%
Explanation: Net discount $=20+10-2=28\%$.
Successive Discount Value
14. A trader allows 10% and 5% successive discounts on an item marked Rs 4,000. The selling price is:
- A. Rs 3,380
- B. Rs 3,400
- C. Rs 3,420 (Correct)
- D. Rs 3,500
Explanation: $SP=4000\times0.9\times0.95=3420$.
Target Gain After Discount
15. A store wants 25% gain after allowing 20% discount. The marked price should be what percent of cost price?
- A. 140%
- B. 150%
- C. 156.25% (Correct)
- D. 160%
Explanation: Take $CP=100$. Needed $SP=125$. $MP=\frac{125}{0.8}=156.25$.
Three Discounts
16. An item marked Rs 5,000 is available at successive discounts of 10%, 10%, and 20%. Customer pays:
- A. Rs 3,200
- B. Rs 3,240 (Correct)
- C. Rs 3,400
- D. Rs 3,600
Explanation: $SP=5000\times0.9\times0.9\times0.8=3240$.
Markup and Discount
17. A dealer marks goods 30% above cost price and gives 10% discount. His gain percentage is:
- A. 15%
- B. 17% (Correct)
- C. 17.5%
- D. 20%
Explanation: Net factor $=1.3\times0.9=1.17$, so gain is 17%.
Profit Despite Discount
18. If an article sold for Rs 2,280 at 5% discount still gives 20% profit, its cost price is:
- A. Rs 1,800
- B. Rs 1,850
- C. Rs 1,900 (Correct)
- D. Rs 1,950
Explanation: The actual selling price is Rs 2,280. $CP=2280\times\frac{100}{120}=1900$.
Offer Comparison
19. Which is better for a customer?
- A. 30% then 10%
- B. 35% then 5% (Correct)
- C. Both same
- D. Cannot compare
Explanation: Offer A gives 37% off and Offer B gives 38.25% off, so B is better.
Discount Difference
20. The difference between a single 30% discount and successive 20% and 10% discounts on Rs 6,000 is:
- A. Rs 0
- B. Rs 60
- C. Rs 120 (Correct)
- D. Rs 180
Explanation: Single discount price $=4200$. Successive discount price $=4320$. Difference $=120$.
False Weight
21. A dishonest dealer claims to sell at cost price but uses 960 g instead of 1 kg. His gain percentage is:
- A. 4%
- B. 4.16% (Correct)
- C. 4.5%
- D. 5%
Explanation: Gain\% $=\frac{40}{960}\times100=4.166\ldots\%$.
False Weight
22. A trader uses a weight of 900 g for 1 kg while selling at cost price. His gain percentage is:
- A. 10%
- B. 11.11% (Correct)
- C. 12.5%
- D. 9.09%
Explanation: Gain\% $=\frac{100}{900}\times100=11.11\ldots\%$.
Mixture Cost Price
23. A dealer gains 25% after mixing two varieties of rice costing Rs 18/kg and Rs 22/kg in the ratio 3:2. The selling price per kg is:
- A. Rs 24.50 (Correct)
- B. Rs 25
- C. Rs 25.50
- D. Rs 26
Explanation: Average CP $=19.6$. For 25% gain, $SP=19.6\times1.25=24.5$.
Mixture Sale
24. A merchant buys 40 kg sugar at Rs 36/kg and 60 kg sugar at Rs 44/kg. At what price per kg should he sell the mixture to gain 20%?
- A. Rs 45.60
- B. Rs 46.80
- C. Rs 48.00 (Correct)
- D. Rs 49.20
Explanation: Average CP $=40$. For 20% gain, $SP=48$.
Weighted Result
25. A stock is sold: 40% at 20% gain and the rest at 10% loss. Overall result is:
- A. 2% loss
- B. 2% gain (Correct)
- C. 4% loss
- D. 4% gain
Explanation: Overall\% $=0.4\times20+0.6\times(-10)=2\%$ gain.
Repair and Resale
26. A trader buys an article for Rs 2,400, spends Rs 180 on repair, then sells it for Rs 2,898. Gain percentage is:
- A. 10%
- B. 12%
- C. 12.33% (Correct)
- D. 15%
Explanation: Total CP $=2580$ and gain $=318$. Gain\% $=\frac{318}{2580}\times100=12.33\%$.
Partial Stock
27. Out of total stock, one-third is sold at 10% loss. At what profit percent should the remaining stock be sold to gain 20% overall?
- A. 30%
- B. 35% (Correct)
- C. 40%
- D. 45%
Explanation: $\frac{1}{3}(-10)+\frac{2}{3}x=20$ gives $x=35\%$.
False Weight with Discount
28. A seller marks goods 25% above cost price, gives 10% discount, and also delivers only 900 g for 1 kg. Effective gain percentage is:
- A. 20%
- B. 25% (Correct)
- C. 30%
- D. 38.89%
Explanation: Price factor $=1.25\times0.9=1.125$ for only 0.9 kg delivered. Effective factor per true kg $=\frac{1.125}{0.9}=1.25$.
Weighted Result
29. A merchant sells 80% items at 15% gain and 20% items at 20% loss. Net result:
- A. 8% gain (Correct)
- B. 8% loss
- C. 7% gain
- D. 6% gain
Explanation: Overall\% $=0.8\times15+0.2\times(-20)=8\%$ gain.
Average Profit per Item
30. A trader bought 120 items at Rs 110 each. He earned Rs 360 on 30 items, Rs 1,050 on 75 items, and lost Rs 105 on the rest. Average profit per item is:
- A. Rs 9
- B. Rs 10.875 (Correct)
- C. Rs 11.25
- D. Rs 12
Explanation: Net profit $=1305$. Average per item $=\frac{1305}{120}=10.875$.
Equal Gain and Loss Amount
31. An article sold for Rs 4,250 gives the same numerical profit as the loss when sold for Rs 3,650. Find the cost price.
- A. Rs 3,850
- B. Rs 3,900
- C. Rs 3,950 (Correct)
- D. Rs 4,000
Explanation: $CP=\frac{4250+3650}{2}=3950$.
Chain Trade
32. A product goes from manufacturer to wholesaler to retailer at gains of 10%, 20%, and 25% respectively. If final price is Rs 3,300, manufacturing cost was:
- A. Rs 2,000 (Correct)
- B. Rs 2,100
- C. Rs 2,200
- D. Rs 2,250
Explanation: Original cost $=\frac{3300}{1.1\times1.2\times1.25}=2000$.
Fake Note
33. A dealer quotes Rs 45 for an article costing Rs 30. A fake Rs 50 note is used and Rs 5 change is returned. Total loss is:
- A. Rs 35 (Correct)
- B. Rs 45
- C. Rs 50
- D. Rs 80
Explanation: Loss consists of article cost and returned change, so total loss is Rs 35.
Stock Recovery
34. A trader sells 40% of his stock at 20% loss. At what markup on the remaining stock should he sell to gain 25% overall?
- A. 45%
- B. 50%
- C. 55% (Correct)
- D. 60%
Explanation: Take total CP $=100$. 40% sold at 20% loss gives SP $=32$. Needed total SP $=125$. So remaining 60 must sell for 93, giving gain $=\frac{33}{60}\times100=55\%$.
Net Discount
35. A customer gets 10% happy-hour discount and then 5% bill discount. Effective discount is:
- A. 14%
- B. 14.5% (Correct)
- C. 14.75%
- D. 15%
Explanation: Net discount $=10+5-\frac{10\times5}{100}=14.5\%$.
Required List Price Rise
36. A shopkeeper increases list price by what percent so that after a 10% discount he gets the old listed price?
- A. 9.09%
- B. 10%
- C. 11.11% (Correct)
- D. 12.5%
Explanation: Need new MP $\times0.9=$ old MP. So new MP is $\frac{1}{0.9}=111.11\%$ of old MP.
Equal SP Case
37. Two articles sell for Rs 12,000 each, one at 20% loss and one at 20% gain. Net result is:
- A. No profit no loss
- B. Rs 800 loss
- C. Rs 1,000 loss (Correct)
- D. Rs 1,200 loss
Explanation: Their CPs are Rs 15,000 and Rs 10,000. Total CP $=25,000$, total SP $=24,000$, so loss is Rs 1,000.
Successive Discount Value
38. A trader allows 30% and 6% successive discounts on Rs 700. Final price is:
- A. Rs 450.80
- B. Rs 460.60 (Correct)
- C. Rs 470.40
- D. Rs 480.20
Explanation: $SP=700\times0.7\times0.94=460.60$.
Two Equal Discounts
39. If an article listed at Rs 900 is sold at two successive discounts of 8% and 8%, the price paid is:
- A. Rs 756.44
- B. Rs 761.76 (Correct)
- C. Rs 768
- D. Rs 774
Explanation: $SP=900\times0.92\times0.92=761.76$.
Target Markup
40. A trader wants 33% gain after allowing 5% discount. Required markup percentage is closest to:
- A. 35%
- B. 38%
- C. 40% (Correct)
- D. 43%
Explanation: Take $CP=100$ and needed $SP=133$. $MP=\frac{133}{95}=1.4$ of CP, so markup is about 40%.
Reverse Profit
41. An article is sold for Rs 2,875 at a profit of 15%. What is its cost price?
- A. Rs 2,400
- B. Rs 2,450
- C. Rs 2,500 (Correct)
- D. Rs 2,550
Explanation: $SP=115\%$ of CP. $CP=2875\times\frac{100}{115}=2500$.
Discount and Profit
42. A shopkeeper marks an item 60% above cost and gives a 25% discount. His profit percentage is:
- A. 15%
- B. 18%
- C. 20% (Correct)
- D. 25%
Explanation: Take CP = 100. MP = 160 and SP after 25% discount = $160\times0.75=120$. Profit = 20%.
Successive Discounts
43. A single discount equivalent to successive discounts of 12.5% and 20% is:
- A. 30% (Correct)
- B. 32.5%
- C. 35%
- D. 37.5%
Explanation: Use multiplier: $0.875\times0.8=0.7$. Customer pays 70%, so equivalent discount is 30%.
False Weight
44. A dealer sells at 10% profit but uses 880 g as 1 kg. His effective profit percentage is closest to:
- A. 20%
- B. 22.5%
- C. 25% (Correct)
- D. 28%
Explanation: For 880 g cost, he charges for 1 kg with 10% profit. Effective factor $=1.10/0.88=1.25$. So effective profit is 25%.
Equal SP Case
45. Two items are sold for Rs 9,600 each. One is sold at 20% gain and the other at 20% loss. What is the net result?
- A. No profit no loss
- B. Rs 600 loss
- C. Rs 800 loss (Correct)
- D. Rs 1,000 loss
Explanation: CP of gain item $=9600/1.2=8000$. CP of loss item $=9600/0.8=12000$. Total CP = 20000, total SP = 19200, so loss = Rs 800.

Profit, Loss & Discount Practice

Practice Profit, Loss & Discount the Exam Way

Core Profit & Loss

Discount & Marked Price

False Weights & Mixtures

Advanced CUET Cases

40-question mixed challenge

Practice Profit, Loss & Discount the Exam Way

Core Profit & Loss

Discount & Marked Price

False Weights & Mixtures

Advanced CUET Cases

40-question mixed challenge