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SSC MTS False Weight / Fraudulent Dealer

Study Material — 14 PYQs (2018–2020) · Concept Notes · Shortcuts

SSC MTS False Weight / Fraudulent Dealer is a frequently tested subtopic — 14 previous year questions from 2018–2020 papers are included below with concept notes, key rules and shortcut tricks.

14 PYQs
2018–2020
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Previous Year Questions

SSC MTS False Weight / Fraudulent Dealer — Past Exam Questions

14 questions from actual SSC MTS papers · all shown free · click option to reveal solution

Exam Q 12020Previous Year Pattern

A dishonest shopkeeper claims to sell goods at cost price but uses a false weight of 800 g instead of 1000 g. What is his profit percentage?

Exam Q 22020Previous Year Pattern

A dishonest dealer uses 750 g weights instead of 1000 g while buying and uses 1000 g weights instead of 1250 g while selling. He claims to sell at cost price. What is his profit percentage?

Exam Q 32020Previous Year Pattern

A dealer uses 950 g weights instead of 1000 g while buying goods. He sells at cost price using correct weights. What is his profit percentage?

Exam Q 42020Previous Year Pattern

A fraudulent dealer uses 900 g weights instead of 1 kg while buying goods at cost price. When selling, he uses correct weights but claims to sell at cost price. What is his overall profit percentage?

Exam Q 52020Previous Year Pattern

A shopkeeper uses 900 g weights instead of 1 kg while selling. To earn a profit of 25%, at what price per kg should he sell if the cost price is ₹80 per kg?

Exam Q 62020Previous Year Pattern

A vendor uses 750 g instead of 1 kg while selling and 1.2 kg instead of 1 kg while buying. If his cost price is ₹40 per kg and he sells at ₹60 per kg, what is his profit percentage?

Exam Q 72020Previous 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 82020Previous Year Pattern

A fraudulent dealer claims to sell at cost price but uses 950 g weights instead of 1 kg. A customer buys goods worth ₹1000 at marked price. How much less does the customer actually receive in terms of quantity?

Exam Q 92018Previous Year Pattern

A fraudulent dealer buys goods at ₹10 per kg and sells at ₹15 per kg. However, he uses a faulty balance that shows 1 kg when the actual weight is 1.25 kg. What is his overall profit percentage?

Exam Q 102018Previous Year Pattern

A shopkeeper uses a weighing machine that reads 1.1 kg when the actual weight is 1 kg. He buys goods at ₹80 per kg and sells at ₹100 per kg (both prices based on actual weight). What is his profit percentage?

Exam Q 112018Previous Year Pattern

A vendor uses a faulty balance that reads 1 kg when the actual weight is 800 g. He buys goods at ₹60 per kg and sells at ₹75 per kg. What is his profit percentage?

Exam Q 122018Previous Year Pattern

A dishonest grocer claims to sell sugar at ₹50 per kg but uses weights such that 1200 g is marked as 1 kg. Additionally, he mixes 20% sand with the sugar. If his cost price is ₹40 per kg of pure sugar, what is his profit percentage?

Exam Q 132018Previous Year Pattern

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

Exam Q 142018Previous Year Pattern

A merchant uses a weighing machine that reads 900 g when the actual weight is 1 kg. He buys goods at ₹100 per kg and sells at ₹120 per kg (both at actual weight). What is his 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

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%
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