45 Must solve P&L Dishonest based questions

Dishonest Dealings Master Quiz (45 Questions)

Cetking P&L (45 Questions)

Set 1: Sold at Cost Price Using Less Weight

Q1. A dishonest shopkeeper gives 900 g of a commodity instead of 1 kg but charges the cost price per kilogram. Find his gain percentage.
  • A) 10%
  • B) 11.11%
  • C) 12.5%
  • D) 9.09%
  • E) 15%
Correct Option: B
Rationale: Gain % = [(1000 – 900) / 900] * 100 = 11.11%.
Q2. A vendor uses a 50 g stone in place of a 60 g weight while selling salt. If he sells the salt at cost price, find his gain percentage.
  • A) 16.67%
  • B) 20%
  • C) 25%
  • D) 18%
  • E) 10%
Correct Option: B
Rationale: Gain % = [(60 – 50) / 50] * 100 = 20%.
Q3. A merchant claims to sell wheat at cost price per kilogram but gives only 750 g instead of 1 kg. Find his gain percentage.
  • A) 25%
  • B) 30%
  • C) 33.33%
  • D) 40%
  • E) 35%
Correct Option: C
Rationale: Gain % = [(1000 – 750) / 750] * 100 = 33.33%.
Q4. A trader professes to sell oil at cost price but uses a measure of 850 ml instead of 1 litre. Find his gain percentage, rounded to two decimal places.
  • A) 15%
  • B) 17.65%
  • C) 18.25%
  • D) 14.75%
  • E) 20%
Correct Option: B
Rationale: Gain % = [(1000 – 850) / 850] * 100 = 17.65%.
Q5. A dishonest shopkeeper uses a weight of 900 g instead of 1 kg and sells pulses at cost price. What is his profit percentage on selling 10 claimed kilograms?
  • A) 10%
  • B) 11.11%
  • C) 12.5%
  • D) 15%
  • E) 9%
Correct Option: B
Rationale: The quantity doesn’t change the percentage. Gain % = [(1000 – 900) / 900] * 100 = 11.11%.
Q6. Vinay professes to sell rice at cost price but uses a weight of 1600 g instead of 2 kg. Find his gain percentage.
  • A) 20%
  • B) 22.5%
  • C) 25%
  • D) 30%
  • E) 33.33%
Correct Option: C
Rationale: Gain % = [(2000 – 1600) / 1600] * 100 = 25%.
Q7. A dishonest shopkeeper sells goods at cost price but uses a false weight of 960 g for every kilogram. Find his gain percentage.
  • A) 4%
  • B) 4.17%
  • C) 4.35%
  • D) 5%
  • E) 3.84%
Correct Option: B
Rationale: Gain % = [(1000 – 960) / 960] * 100 = 4.17%.

Set 2: Profit/Loss in Price + Less Weight

Q8. A fruit seller sells apples at a loss of 5% on cost price but uses a weight that is 20% less than the stated weight. Find his overall profit percentage.
  • A) 15%
  • B) 18.75%
  • C) 20%
  • D) 25%
  • E) 23.75%
Correct Option: B
Rationale: Overall multiplier = 0.95 / 0.80 = 1.1875. Profit = 18.75%.
Q9. A fruit seller gives only 900 g instead of 1 kg. He sells apples at ₹150 per claimed kilogram, while his cost price is ₹120 per actual kilogram. Find his profit percentage.
  • A) 33.33%
  • B) 35%
  • C) 38.89%
  • D) 40%
  • E) 41.67%
Correct Option: C
Rationale: Overall multiplier = (150/120) / (900/1000) = 1.25 / 0.90 = 1.3889 (38.89%).
Q10. A trader sells goods at a stated profit of 15% but gives only 950 g instead of 1 kg. Find his overall profit percentage.
  • A) 20%
  • B) 21.05%
  • C) 22.5%
  • D) 25%
  • E) 18.75%
Correct Option: B
Rationale: Overall multiplier = 1.15 / 0.95 = 1.2105 (21.05%).
Q11. A shopkeeper sells an item at ₹23 per claimed kilogram, while its cost is ₹25 per actual kilogram. If he gives only 600 g instead of 1 kg, find his overall profit percentage.
  • A) 45%
  • B) 48%
  • C) 50%
  • D) 53.33%
  • E) 56.67%
Correct Option: D
Rationale: Overall multiplier = (23/25) / (600/1000) = 0.92 / 0.60 = 1.5333 (53.33%).
Q12. A vendor claims to sell wheat at a loss of 50% but uses a weight that is 65% less than the stated weight. Find his actual profit percentage.
  • A) 40%
  • B) 42.86%
  • C) 45%
  • D) 50%
  • E) 37.5%
Correct Option: B
Rationale: Overall multiplier = 0.50 / (1 – 0.65) = 0.50 / 0.35 = 1.4285 (42.86%).
Q13. A flower seller sells flowers at a loss of 4% on cost price but uses a weight of 20 g instead of 25 g. Find his overall profit percentage.
  • A) 16%
  • B) 18%
  • C) 20%
  • D) 22%
  • E) 24%
Correct Option: C
Rationale: Overall multiplier = 0.96 / (20/25) = 0.96 / 0.80 = 1.20 (20%).
Q14. A shopkeeper sells goods at a loss of 82% on cost price but gives 28% less weight. Find his overall profit or loss percentage.
  • A) 65% loss
  • B) 70% loss
  • C) 75% loss
  • D) 75% profit
  • E) 80% loss
Correct Option: C
Rationale: Overall multiplier = 0.18 / (1 – 0.28) = 0.18 / 0.72 = 0.25. (75% Loss).
Q15. A trader claims to sell spices at a profit of 15% but gives 14% less weight. Find his overall profit percentage, rounded to the nearest whole number.
  • A) 30%
  • B) 32%
  • C) 34%
  • D) 36%
  • E) 38%
Correct Option: C
Rationale: Overall multiplier = 1.15 / (1 – 0.14) = 1.15 / 0.86 = 1.337 (34%).
Q16. A shopkeeper sells goods at ₹40 per claimed kilogram, while they cost him ₹50 per actual kilogram. If he gives only 640 g instead of 1 kg, find his profit percentage.
  • A) 20%
  • B) 22.5%
  • C) 25%
  • D) 28%
  • E) 30%
Correct Option: C
Rationale: Overall multiplier = (40/50) / (640/1000) = 0.80 / 0.64 = 1.25 (25%).
Q17. A lady claims to sell sugar at a profit of 20% but uses a weight that is 30% less than the stated weight. Find her overall gain percentage.
  • A) 65%
  • B) 68.57%
  • C) 70%
  • D) 71.43%
  • E) 75%
Correct Option: D
Rationale: Overall multiplier = 1.20 / 0.70 = 1.7142 (71.43%).
Q18. Sugar costs ₹50 per actual kilogram. A shopkeeper sells it at ₹55 per claimed kilogram but gives only 900 g instead of 1 kg. Find his approximate profit percentage.
  • A) 20%
  • B) 22.22%
  • C) 24%
  • D) 25%
  • E) 21%
Correct Option: B
Rationale: Overall multiplier = (55/50) / (900/1000) = 1.10 / 0.90 = 1.2222 (22.22%).
Q19. A trader claims to sell pulses at a profit of 3% but gives 15% less weight. Find his total profit percentage, rounded to the nearest whole number.
  • A) 18%
  • B) 20%
  • C) 21%
  • D) 23%
  • E) 25%
Correct Option: C
Rationale: Overall multiplier = 1.03 / 0.85 = 1.2117 (21%).
Q20. A trader claims to sell vegetables at a profit of 52% but gives 8% less weight. Find his overall profit percentage, rounded to the nearest whole number.
  • A) 60%
  • B) 63%
  • C) 65%
  • D) 67%
  • E) 70%
Correct Option: C
Rationale: Overall multiplier = 1.52 / 0.92 = 1.6521 (65%).
Q21. A trader claims to sell wheat at a profit of 29% but gives 30% less weight. Find his overall profit percentage, rounded to the nearest whole number.
  • A) 80%
  • B) 82%
  • C) 84%
  • D) 86%
  • E) 88%
Correct Option: C
Rationale: Overall multiplier = 1.29 / 0.70 = 1.8428 (84%).
Q22. A trader claims to sell pulses at a profit of 48% but gives 12% less weight. Find his overall profit percentage, rounded to the nearest whole number.
  • A) 64%
  • B) 66%
  • C) 68%
  • D) 70%
  • E) 72%
Correct Option: C
Rationale: Overall multiplier = 1.48 / 0.88 = 1.6818 (68%).
Q23. A trader claims to sell fruits at a profit of 22% but gives 4% less weight. Find his overall profit percentage, rounded to the nearest whole number.
  • A) 24%
  • B) 25%
  • C) 27%
  • D) 29%
  • E) 30%
Correct Option: C
Rationale: Overall multiplier = 1.22 / 0.96 = 1.2708 (27%).

Set 3: Markup + Discount + Less Weight

Q24. A shopkeeper buys sugar at ₹25 per kilogram. He marks it at ₹32 per kilogram and gives a discount of 20%. While selling, he gives only 800 g instead of 1 kg. Find his overall profit percentage.
  • A) 24%
  • B) 25%
  • C) 28%
  • D) 30%
  • E) 32%
Correct Option: C
Rationale: Overall multiplier = (32/25 * 0.80) / 0.80 = 1.28 (28%).
Q25. A shopkeeper marks sugar 20% above cost price and gives a discount of 10%. He also gives only 960 g instead of 1 kg. Find his overall profit percentage.
  • A) 10%
  • B) 11.25%
  • C) 12.5%
  • D) 15%
  • E) 16.67%
Correct Option: C
Rationale: Overall multiplier = (1.20 * 0.90) / 0.96 = 1.08 / 0.96 = 1.125 (12.5%).
Q26. A shopkeeper marks sugar 24% above cost price and gives a discount of 18%. He also uses a weight of 800 g instead of 1 kg. Find his overall profit percentage.
  • A) 24.8%
  • B) 25%
  • C) 27.1%
  • D) 28.5%
  • E) 30%
Correct Option: C
Rationale: Overall multiplier = (1.24 * 0.82) / 0.80 = 1.0168 / 0.80 = 1.271 (27.1%).
Q27. A shopkeeper marks goods 20% above cost price, gives a discount of 10% and uses a weight of 800 g instead of 1 kg. Find his overall profit percentage.
  • A) 30%
  • B) 32%
  • C) 33.33%
  • D) 35%
  • E) 37.5%
Correct Option: D
Rationale: Overall multiplier = (1.20 * 0.90) / 0.80 = 1.08 / 0.80 = 1.35 (35%).

Set 4: Find the Actual Weight

Q28. A shopkeeper professes to sell goods at a loss of 35% but uses a false balance and earns an overall profit of 85%. What weight does he use instead of 1 kg?
  • A) 325.4 g
  • B) 340.5 g
  • C) 351.4 g
  • D) 365.2 g
  • E) 375 g
Correct Option: C
Rationale: Actual weight = (1000 * 0.65) / 1.85 = 351.35 g.
Q29. A trader marks rice 20% above cost price and gives a discount of 10%. He claims to sell 1 kg but gives only xx grams. If his overall profit is 25%, find xx.
  • A) 840 g
  • B) 850 g
  • C) 864 g
  • D) 875 g
  • E) 900 g
Correct Option: C
Rationale: Actual weight = (1000 * 1.08) / 1.25 = 864 g.
Q30. A shopkeeper claims to sell rice at cost price but uses a false weight and gains 25%. How much rice does he give instead of 1 kg?
  • A) 750 g
  • B) 800 g
  • C) 825 g
  • D) 850 g
  • E) 900 g
Correct Option: B
Rationale: Actual weight = 1000 / 1.25 = 800 g.
Q31. A shopkeeper professes to sell goods at a loss of 35% but earns an overall profit of 55% through a false balance. Find the actual weight used instead of 1 kg.
  • A) 400 g
  • B) 410.5 g
  • C) 419.4 g
  • D) 425.8 g
  • E) 440 g
Correct Option: C
Rationale: Actual weight = (1000 * 0.65) / 1.55 = 419.35 g.
Q32. A shopkeeper professes to sell goods at a loss of 60% but earns an overall profit of 90% through a false balance. Find the actual weight used instead of 1 kg.
  • A) 200 g
  • B) 205.3 g
  • C) 210.5 g
  • D) 220 g
  • E) 225.5 g
Correct Option: C
Rationale: Actual weight = (1000 * 0.40) / 1.90 = 210.52 g.
Q33. A shopkeeper professes to sell goods at a loss of 35% but earns an overall profit of 75% through a false balance. Find the actual weight used instead of 1 kg.
  • A) 350 g
  • B) 360.5 g
  • C) 371.4 g
  • D) 380 g
  • E) 390.6 g
Correct Option: C
Rationale: Actual weight = (1000 * 0.65) / 1.75 = 371.42 g.
Q34. A shopkeeper professes to sell goods at a loss of 25% but earns an overall profit of 70% through a false balance. Find the actual weight used instead of 1 kg.
  • A) 420.5 g
  • B) 430 g
  • C) 441.2 g
  • D) 450 g
  • E) 460.5 g
Correct Option: C
Rationale: Actual weight = (1000 * 0.75) / 1.70 = 441.17 g.
Q35. A shopkeeper professes to sell goods at a loss of 55% but earns an overall profit of 75% through a false balance. Find the actual weight used instead of 1 kg.
  • A) 240 g
  • B) 250 g
  • C) 257.1 g
  • D) 265.5 g
  • E) 275 g
Correct Option: C
Rationale: Actual weight = (1000 * 0.45) / 1.75 = 257.14 g.
Q36. A shopkeeper professes to sell goods at a loss of 20% but earns an overall profit of 40% through a false balance. Find the actual weight used instead of 1 kg.
  • A) 550 g
  • B) 560.5 g
  • C) 571.4 g
  • D) 580 g
  • E) 600 g
Correct Option: C
Rationale: Actual weight = (1000 * 0.80) / 1.40 = 571.42 g.
Q37. A shopkeeper professes to sell goods at a loss of 60% but earns an overall profit of 70% through a false balance. Find the actual weight used instead of 1 kg.
  • A) 220 g
  • B) 225.5 g
  • C) 235.3 g
  • D) 240 g
  • E) 250 g
Correct Option: C
Rationale: Actual weight = (1000 * 0.40) / 1.70 = 235.29 g.

Set 5: Cheating While Buying and Selling

Q38. A shopkeeper receives 1200 g of rice while paying for 1 kg and gives only 840 g while charging for 1 kg. If he sells at the nominal cost price, find his overall profit percentage.
  • A) 40%
  • B) 41.67%
  • C) 42.86%
  • D) 45%
  • E) 47.62%
Correct Option: C
Rationale: Overall multiplier = 1.00 * (1200 / 1000) / (840 / 1000) = 1.2 / 0.84 = 1.4285 (42.86%).
Q39. A shopkeeper cheats by 10% while buying and by 10% while selling. If he sells at the nominal cost price, find his overall gain percentage.
  • A) 20%
  • B) 21%
  • C) 22.22%
  • D) 25%
  • E) 24.44%
Correct Option: C
Rationale: Overall multiplier = 1.00 * (1.10) / (0.90) = 1.2222 (22.22%).
Q40. A shopkeeper receives 1250 g while paying for 1 kg and gives only 800 g while charging for 1 kg. If he sells at the nominal cost price, find his overall profit percentage.
  • A) 50%
  • B) 52.5%
  • C) 55%
  • D) 56.25%
  • E) 60%
Correct Option: D
Rationale: Overall multiplier = 1.00 * (1.25) / (0.80) = 1.5625 (56.25%).

Set 6: Find Profit in Rupees

Q41. A shopkeeper purchases rice at ₹60 per kilogram. He marks it 20% above cost price, gives a discount of 10% and gives only 900 g instead of 1 kg. Find his profit when the buyer pays for 1 kg.
  • A) ₹8.40
  • B) ₹9.60
  • C) ₹10.80
  • D) ₹12
  • E) ₹12.60
Correct Option: C
Rationale: Revenue = ₹60 * 1.20 * 0.90 = ₹64.80. Cost (900 g) = ₹60 * 0.90 = ₹54.00. Profit = ₹64.80 – ₹54.00 = ₹10.80.
Q42. A merchant buys tea at ₹100 per kilogram. He marks it 25% above cost price, gives a discount of 20% and gives only 800 g instead of 1 kg. Find his profit on one claimed kilogram.
  • A) ₹15
  • B) ₹18
  • C) ₹20
  • D) ₹22
  • E) ₹25
Correct Option: C
Rationale: Revenue = ₹100 * 1.25 * 0.80 = ₹100. Cost (800 g) = ₹100 * 0.80 = ₹80. Profit = ₹100 – ₹80 = ₹20.
Q43. A shopkeeper sells rice at ₹95 per claimed kilogram but gives only 950 g instead of 1 kg. The actual cost price is also ₹95 per kilogram. Find his total profit after selling an actual quantity of 95 kg.
  • A) ₹400
  • B) ₹450
  • C) ₹475
  • D) ₹500
  • E) ₹525
Correct Option: C
Rationale: Claimed weight = 95 / 0.95 = 100 kg. Revenue = 100 * ₹95 = ₹9500. Actual Cost = 95 * ₹95 = ₹9025. Profit = ₹9500 – ₹9025 = ₹475.
Q44. A vegetable seller uses a faulty 2 kg weight that actually weighs 1.9 kg. He sells the stated 2 kg of potatoes for ₹44. If the cost price is ₹18 per actual kilogram, find his profit.
  • A) ₹8.80
  • B) ₹9.20
  • C) ₹9.80
  • D) ₹10.20
  • E) ₹10.80
Correct Option: C
Rationale: Revenue = ₹44. Actual Cost = 1.9 kg * ₹18 = ₹34.20. Profit = ₹44 – ₹34.20 = ₹9.80.
Q45. The selling price of a product is ₹90 per claimed kilogram, which is 90% of its cost price per actual kilogram. The shopkeeper gives only 800 g instead of 1 kg. Find the profit earned on one transaction.
  • A) ₹8
  • B) ₹9
  • C) ₹10
  • D) ₹12
  • E) ₹15
Correct Option: C
Rationale: Actual CP = 90 / 0.90 = ₹100. Revenue = ₹90. Actual Cost = 800g * ₹100 = ₹80. Profit = ₹90 – ₹80 = ₹10.
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