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SBI Clerk False Weight / Fraudulent Dealer

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This page covers SBI Clerk False Weight / Fraudulent Dealer with complete concept notes, 10 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

10graded MCQs · easy to hard · full solution & trap analysis

All MCQs →
Practice 1easy

A merchant uses 900 g weights instead of 1 kg while buying goods from wholesalers. If he buys at ₹100 per kg, what is his effective cost price per gram?

Practice 2easy

A dealer uses 1200 g weights instead of 1 kg while buying. If he buys at ₹50 per kg and sells at ₹60 per kg (both at nominal rates), what is his profit percentage?

Practice 3easy

A merchant uses 1050 g weights instead of 1000 g while selling goods at cost price. What is his loss percentage?

Practice 4medium

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 5medium

A dishonest merchant uses weights that are 20% less than the standard. If he sells at the marked price (which assumes standard weights), what is his profit percentage?

Practice 6medium

A vendor uses 1.25 kg weights instead of 1 kg to measure goods he buys, and uses 0.8 kg weights instead of 1 kg to measure goods he sells. If he marks up the selling price by 20% over cost price, what is his overall profit percentage?

Practice 7medium

A shopkeeper buys goods at ₹500 per kg using false weights of 1.2 kg instead of 1 kg. He sells at ₹600 per kg using false weights of 0.9 kg instead of 1 kg. What is his profit percentage?

Practice 8hard

A vendor uses false weights and sells sugar at ₹60 per kg (marked). His false weight is such that he gives only 750 g for every 1 kg marked. If his cost price is ₹45 per kg, what is his profit percentage?

Practice 9hard

A merchant buys goods at ₹80 per kg. He uses false weights of 850 g per kg and also gives a discount of 5% on the marked price. If he still makes a profit of 25%, what is the marked price per kg?

Practice 10hard

A fraudulent dealer buys goods at ₹100 per kg but uses false weights. He sells at ₹120 per kg (marked weight) and makes a profit of 44%. What is the false weight he uses for 1 kg?

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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