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SSC GD Constable False Weight / Fraudulent Dealer

Study Material — 6 PYQs (2020–2020) · Concept Notes · Shortcuts

SSC GD Constable False Weight / Fraudulent Dealer is a frequently tested subtopic — 6 previous year questions from 2020–2020 papers are included below with concept notes, key rules and shortcut tricks.

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Previous Year Questions

SSC GD Constable False Weight / Fraudulent Dealer — Past Exam Questions

6 questions from actual SSC GD Constable papers · all shown free · click option to reveal solution

Exam Q 12020Previous Year Pattern

A dishonest merchant buys goods at ₹10 per kg and uses weights of 1200 g instead of 1 kg while selling. At what price per kg should he mark the goods to make a profit of 25%?

Exam Q 22020Previous Year Pattern

A vendor uses 950 g instead of 1 kg and sells at cost price. A customer buys 4.75 kg of goods at the marked rate. How much more does the customer pay compared to the true cost?

Exam Q 32020Previous Year Pattern

A fraudulent dealer buys goods at ₹50 per kg and uses 1100 g weights instead of 1 kg. He sells at ₹60 per kg (marked). What is his total profit percentage?

Exam Q 42020Previous Year Pattern

A merchant uses 950 g weight instead of 1 kg while selling. To make an overall profit of 20%, at what percentage above cost price should he mark his goods?

Exam Q 52020Previous Year Pattern

A vendor uses 1.2 kg weight instead of 1 kg when buying from the wholesaler, and uses 0.8 kg weight instead of 1 kg when selling to customers. If he buys at ₹100 per kg and sells at ₹150 per kg (both marked weights), what is his profit percentage?

Exam Q 62020Previous Year Pattern

A shopkeeper marks goods at 40% above cost price. He uses a faulty weight that shows 1 kg when the true weight is 900 g. He also gives a discount of 10% on the marked price. What is his net profit or loss 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

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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