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SSC CPO False Weight / Fraudulent Dealer

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This page covers SSC CPO False Weight / Fraudulent Dealer with complete concept notes, 9 graded practice MCQs, key points and exam-specific tips. Free to study.

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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

9graded MCQs · easy to hard · full solution & trap analysis

All MCQs →
Practice 1easy

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?

Practice 2easy

A merchant buys goods at ₹500 per kg but uses a faulty weight that shows 1100 g when the actual weight is 1000 g. At what price per kg should he mark the goods to make a 10% profit?

Practice 3easy

A dishonest shopkeeper gives only 950 g when a customer asks for 1 kg and charges the full price of 1 kg. If the shopkeeper's cost price is ₹400 per kg, what is his profit percentage?

Practice 4easy

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 5easy

A shopkeeper uses 800 g weights instead of 1 kg while buying goods, and uses 1000 g weights instead of 1 kg while selling. What is his overall profit percentage?

Practice 6medium

A shopkeeper uses 950 g weights instead of 1 kg while selling. To make a profit of 20% on cost price, at what percentage above cost price should he mark his goods?

Practice 7medium

A merchant uses false weights and gains 25% while buying and 25% while selling. What is his total profit percentage?

Practice 8hard

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

Practice 9hard

A dishonest trader uses weights such that 800 g is marked as 1 kg. He also offers a 10% discount on the marked price. 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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