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AFCAT False Weight / Fraudulent Dealer

Study Material — 18 PYQs (2018–2024) · Concept Notes · Shortcuts

AFCAT False Weight / Fraudulent Dealer is a frequently tested subtopic — 18 previous year questions from 2018–2024 papers are included below with concept notes, key rules and shortcut tricks.

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Previous Year Questions

AFCAT False Weight / Fraudulent Dealer — Past Exam Questions

18 questions from actual AFCAT papers · all shown free · click option to reveal solution

Exam Q 12018Previous Year Pattern

A dishonest shopkeeper claims to sell goods at cost price, but uses false weights. He gives 900 g instead of 1 kg. What is his profit percentage?

Exam Q 22020Previous Year Pattern

A dishonest shopkeeper claims to sell goods at cost price, but uses a false weight of 900 g instead of 1 kg. What is his profit percentage?

Exam Q 32024Previous Year Pattern

A dealer uses 1200 g weights instead of 1 kg while buying from farmers, and uses 800 g weights instead of 1 kg while selling to customers. If he claims to sell at the same rate per gram as he buys, what is his profit percentage?

Exam Q 42024Previous Year Pattern

A shopkeeper uses 950 g weights instead of 1 kg while selling. If he claims to sell at cost price, what is his profit percentage?

Exam Q 52024Previous Year Pattern

A fraudulent dealer buys goods at ₹10 per kg and sells at ₹12 per kg, but uses 800 g weights instead of 1 kg. What is his overall profit percentage?

Exam Q 62024Previous Year Pattern

A shopkeeper buys sugar at ₹20 per kg. He uses 750 g weights instead of 1 kg and also marks up the price to ₹25 per kg. What is his profit percentage?

Exam Q 72019Previous Year Pattern

A dishonest shopkeeper claims to sell goods at cost price, but uses a faulty weight machine. When he should give 1000 g, he actually gives only 800 g. What is his profit percentage?

Exam Q 82024Previous Year Pattern

A fraudulent dealer buys goods at ₹10 per kg and uses weights such that he gives only 960 g for every 1 kg sold. If he wants an overall profit of 20%, at what price per kg should he sell?

Exam Q 92024Previous Year Pattern

A shopkeeper uses 1200 g weights instead of 1 kg while buying and 800 g weights instead of 1 kg while selling. If he buys and sells at the same marked price per kg, what is his profit percentage?

Exam Q 102024Previous Year Pattern

A merchant uses 800 g weights instead of 1 kg and sells at 25% profit on cost price. What is the effective profit percentage?

Exam Q 112024Previous Year Pattern

A dealer claims to sell sugar at cost price but uses 750 g weights instead of 1 kg. A customer buys 3 kg of sugar (as per dealer's weights). How much actual sugar does the customer get?

Exam Q 122024Previous Year Pattern

A merchant buys rice at ₹40 per kg. He uses false weights and gives only 800 g for every 1 kg sold. He also offers a 10% discount on the marked price. If his marked price is ₹50 per kg, what is his profit or loss percentage?

Exam Q 132024Previous Year Pattern

A fraudulent dealer sells goods at 20% profit but uses weights such that 1200 g is marked as 1 kg. What is his actual profit percentage?

Exam Q 142024Previous Year Pattern

A dealer buys goods at ₹60 per kg and sells at ₹75 per kg. However, he uses a faulty balance that shows 1 kg when the actual weight is 1.2 kg. What is his actual profit percentage?

Exam Q 152024Previous Year Pattern

A fraudulent dealer sells goods at 25% profit but uses weights such that 1200 g is sold as 1 kg. What is the actual profit percentage earned by the dealer?

Exam Q 162024Previous Year Pattern

A dishonest grocer claims to sell sugar at ₹50 per kg but uses false weights. A customer who buys what the grocer claims is 2 kg actually receives only 1.6 kg. If the grocer's cost price is ₹40 per kg, what is the actual profit percentage?

Exam Q 172024Previous Year Pattern

A dealer uses 800 g weight instead of 1 kg and sells at 25% profit on cost price. A customer buys goods worth ₹1000 at marked price. How much less does the customer actually pay in terms of quantity compared to what he should have received?

Exam Q 182024Previous Year Pattern

A dishonest shopkeeper claims to sell goods at cost price but uses a false weight of 900 g instead of 1 kg. What is his actual profit percentage?

Concept Notes

False Weight / Fraudulent Dealer— Rules & Concept

1.Core Concept

Read this first — the foundation of the topic

A dealer uses false weights to gain extra profit. He might use a lighter weight while buying (getting more quantity for same price) or a heavier weight while selling (charging more for less quantity). Sometimes he does both

Key Rules

When a dealer uses weight 'w' grams instead of 1000 grams, his gain percentage = [(1000-w)/w] × 100. If he uses heavier weight while selling, gain = [(w-1000)/1000] × 100. For combined fraud (both buying and selling), multiply both gain factors.

2.Formula Block

Memorise — at least one formula appears in every paper
• Gain% when using lighter weight for buying = [(True weight - False weight)/False weight] × 100
• Gain% when using heavier weight for selling = [(False weight - True weight)/True weight] × 100
• Overall gain% = [(CP with false weight)/(Actual CP)] × [(SP with false weight)/(Actual SP)] - 1

3.Exam Patterns

What examiners ask — read before attempting PYQs

SSC asks three main types - (1) Find gain% when false weight is given, (2) Find false weight when gain% is given, (3) Combined buying-selling fraud problems. Questions often involve 900g, 800g weights instead of 1kg, or 1200g, 1100g for selling.

4.Shortcuts

Use these to save 30–60 seconds per question

For buying with lighter weight - if dealer uses 800g instead of 1000g, he gains 200g extra on every 800g. So gain% = 200/800 = 25%. Quick formula: Extra weight/False weight × 100.

5.Worked Example

Solve this step-by-step before moving on
1
Step 1

Calculate gain% in buying. Using 900g instead of 1000g means getting 1000g quantity for price of 900g. Gain% in buying = (1000-900)/900 × 100 = 100/900 × 100 = 11.11% This means CP becomes 100/111.11 = 90% of actual.

2
Step 2

Calculate gain% in selling. Using 1100g instead of 1000g means customer pays for 1100g but gets 1000g. Gain% in selling = (1100-1000)/1000 × 100 = 10% This means SP becomes 110% of actual.

3
Step 3

Find overall gain%. Overall gain% = (0.90 × 1.10 - 1) × 100 = (0.99 - 1) × 100 = -1% Wait, this is wrong approach. Correct Method: Effective CP ratio = 900:1000 = 9:10 Effective SP ratio = 1100:1000 = 11:10 Gain% = [(11/10)/(9/10) - 1] × 100 = [11/9 - 1] × 100 = 2/9 × 100 = 22.22%

6.Exam Traps

Common mistakes students make — avoid these

Students often confuse whether the dealer is buying or selling, and apply wrong formula. Always identify the transaction type first.

Key Points to Remember

  • False weight = dealer uses incorrect weights to cheat customers and gain extra profit
  • Lighter weight while buying gives gain% = (True weight - False weight)/False weight × 100
  • Heavier weight while selling gives gain% = (False weight - True weight)/True weight × 100
  • Combined fraud multiplies the effects of both buying and selling manipulations
  • Quick trick: Extra weight gained/False weight used × 100 for buying fraud
  • Always check if dealer is buying or selling before applying the formula
  • 900g instead of 1kg means 100g extra profit on every 900g purchased
  • For selling fraud, customer pays more but receives the correct quantity

Exam-Specific Tips

  • Gain percentage when using 900g instead of 1000g for buying = 11.11%
  • Gain percentage when using 800g instead of 1000g for buying = 25%
  • Gain percentage when using 1100g instead of 1000g for selling = 10%
  • Formula for buying fraud: (1000-w)/w × 100 where w is false weight in grams
  • Formula for selling fraud: (w-1000)/1000 × 100 where w is false weight in grams
  • Most common false weights tested: 800g, 900g, 950g for buying
  • Most common false weights tested: 1050g, 1100g, 1200g for selling
Practice MCQs

False Weight / Fraudulent Dealer — Practice Questions

20graded MCQs · easy to hard · full solution & trap analysis

All MCQs →
Practice 1easy

A fraudulent dealer uses weights such that he gives only 800 g when 1 kg is demanded. If he marks up his goods by 25% above cost price and then sells at marked price, what is his total profit percentage?

Practice 2easy

A dishonest shopkeeper claims to sell goods at cost price but uses a false weight. He gives only 800 g when he should give 1000 g. What is his profit percentage?

Practice 3easy

A shopkeeper uses 900 g weight instead of 1 kg and also gives a 10% discount on the marked price. If the marked price is 50% above cost price, what is his net profit or loss percentage?

Practice 4easy

A merchant uses false weights and gives 1200 g instead of 1 kg. If he wants to make a profit of 20%, at what percentage above cost price should he mark his goods?

Practice 5easy

A dishonest shopkeeper claims to sell goods at cost price but uses a false weight of 900 g instead of 1 kg. What is his profit percentage?

Practice 6easy

A vendor uses 1.25 kg weight instead of 1 kg and claims to sell at cost price. What is the profit percentage?

Practice 7easy

A dishonest grocer uses a false weight of 950 g for 1 kg and also adulterates the goods such that the cost price is effectively reduced by 10%. If he sells at the marked price (which is 20% above the original cost price), what is his profit percentage?

Practice 8medium

A shopkeeper buys goods at ₹50 per kg using false weights (950 g instead of 1 kg) and sells at ₹60 per kg using correct weights. What is his profit percentage?

Practice 9medium

A merchant uses 800 g weights instead of 1 kg while buying goods from wholesalers and sells at marked price using correct weights. If his cost price per kg is ₹100, what is his profit percentage?

Practice 10medium

A merchant buys sugar at ₹20 per kg. While selling, he uses weights such that 1200 g is marked as 1 kg, and he sells at ₹25 per kg (marked). What is his profit percentage?

Practice 11medium

A dishonest grocer claims to sell at cost price but uses a faulty balance. When he should give 1 kg, his balance shows 1.25 kg. If the cost price is ₹40 per kg, what is his profit percentage?

Practice 12medium

A dishonest shopkeeper claims to sell goods at cost price but uses false weights. He gives only 800 g when he should give 1000 g. What is his profit percentage?

Practice 13medium

A fraudulent dealer buys goods at ₹10 per kg and sells at ₹12 per kg, but uses a 900 g weight instead of 1 kg. What is his total profit percentage?

Practice 14hard

A fraudulent dealer buys goods at ₹10 per kg and sells using 750 g weights instead of 1 kg, claiming to sell at ₹12 per kg. What is his actual profit percentage?

Practice 15hard

A merchant uses 800 g weights instead of 1 kg and sells at 25% markup on cost price. What is his total profit percentage?

Practice 16hard

A merchant uses 1200 g weights instead of 1 kg while buying and 800 g weights instead of 1 kg while selling. He buys at ₹50 per kg and sells at ₹75 per kg. What is his net profit percentage?

Practice 17hard

A fraudulent merchant uses weights of 800 g for 1 kg while buying and weights of 1200 g for 1 kg while selling. If he claims to sell at cost price, what is his actual profit percentage?

Practice 18hard

A dealer uses 950 g weights instead of 1 kg while selling. To earn a profit of 20% on cost price, at what percentage above cost price should he mark his goods (assuming he sells at marked price)?

Practice 19hard

A dealer buys sugar at ₹40 per kg. He uses false weights and sells at ₹50 per kg. If his profit is 37.5%, how much less weight (in grams) does he give for 1 kg?

Practice 20hard

A shopkeeper uses weights of 950 g for 1 kg and also gives a 5% discount on the marked price. If his cost price is ₹100 per kg, what is his net profit or loss percentage?

60-Second Revision — False Weight / Fraudulent Dealer

  • Remember: Lighter weight in buying = more quantity for same price = profit
  • Remember: Heavier weight in selling = same price for less quantity given = profit
  • Formula: Buying fraud gain% = Extra weight/False weight × 100
  • Formula: Selling fraud gain% = Extra weight/True weight × 100
  • Trap: Don't confuse buying and selling scenarios - read question carefully
  • Quick check: 900g instead of 1kg buying gives 11.11% gain
  • Combined fraud: Multiply both ratios then subtract 1 for total gain%
←Discount & MPSuccessive Profit & Loss→
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