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RRB NTPC False Weight / Fraudulent Dealer

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This page covers RRB NTPC False Weight / Fraudulent Dealer with complete concept notes, 22 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

22graded MCQs · easy to hard · full solution & trap analysis · showing 20 of 22

All MCQs →
Practice 1easy

A dishonest grocer uses weights such that 1200 g is marked as 1 kg on his balance. If he sells at cost price, what is his 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 dishonest grocer uses 800 g weights instead of 1 kg while selling and claims to sell at cost price. What is his actual profit percentage?

Practice 4easy

A dishonest dealer uses weights such that he gives 1100 g instead of 1 kg and also charges 10% extra. What is his profit percentage?

Practice 5easy

A fraudulent dealer uses weights such that he gives 900 g for every 1 kg purchased. If he marks his goods at 20% above cost price, what is his overall profit percentage?

Practice 6easy

A fraudulent merchant sells sugar at ₹20 per kg but uses a faulty weight of 800 grams for 1 kilogram. What is the actual cost price per kg if he makes a 25% profit?

Practice 7easy

A merchant uses false weights and gives 750 g instead of 1 kg. He sells at cost price. What is his profit percentage?

Practice 8easy

A vendor uses false weights and gives 1.2 kg when he should give 1 kg. He sells at cost price. What is his loss percentage?

Practice 9medium

A shopkeeper buys goods at ₹100 per kg and sells using 800 g weights instead of 1 kg, claiming to sell at ₹125 per kg. What is his actual profit percentage?

Practice 10medium

A dishonest shopkeeper buys goods at ₹100 per kg and sells at ₹120 per kg. Additionally, he uses a false weight of 800 g instead of 1 kg. What is his total profit percentage?

Practice 11medium

A grocer uses false weights. When he claims to give 1 kg, he actually gives only 800 grams. He also marks up the price by 25% above cost price. What is his actual profit percentage?

Practice 12medium

A dishonest merchant uses weights such that 1 kg of his weights actually weighs 1.25 kg. He buys goods at ₹60 per kg and sells at ₹75 per kg using his faulty weights. What is his profit percentage?

Practice 13medium

A vendor uses a faulty balance where 1 kg mark actually represents 900 grams. He claims to sell at cost price. What is his profit percentage?

Practice 14medium

A vendor uses 1.2 kg weights instead of 1 kg while selling. If he sells at ₹50 per kg (marked weight), what is his loss percentage?

Practice 15hard

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

Practice 16hard

A dealer uses false weights while buying and selling. When buying, he uses 950 g for 1 kg, and when selling, he uses 1050 g for 1 kg. He sells at a 20% markup on cost price. What is his net profit percentage?

Practice 17hard

A dishonest dealer sells goods at 25% profit but uses false weights such that he gives only 750 g instead of 1 kg. If his cost price is ₹200 per kg, what is his actual profit percentage?

Practice 18hard

A merchant uses false weights while buying and selling. He buys goods at ₹100 per kg using 1100 g weights (i.e., he pays for 1 kg but receives 1100 g). He sells at ₹120 per kg using 900 g weights (i.e., he gives 900 g but charges for 1 kg). What is his overall profit percentage?

Practice 19hard

A vendor buys apples at ₹80 per kg using false weights of 1200 g (pays for 1 kg, gets 1200 g). He sells at ₹100 per kg using false weights of 800 g (gives 800 g, charges for 1 kg). What is his profit percentage?

Practice 20hard

A fraudulent dealer uses weights such that when he buys goods, he uses 1200 g weights instead of 1 kg, and when he sells, he uses 800 g weights instead of 1 kg. If he marks up the cost price by 25%, what is his overall profit percentage?

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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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