SSC GD Constable False Weight / Fraudulent Dealer — Study Material, 6 PYQs & Practice MCQs | ZestExam
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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.
6 questions from actual SSC GD Constable papers · all shown free · click option to reveal solution
Exam Q 12020Previous 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?
Test False Weight / Fraudulent Dealer under exam conditions
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 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 42020Previous 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?
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 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?
Concept Notes
False Weight / Fraudulent Dealer— Rules & Concept
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Core Concept
Read this first — the foundation of the topic
→Core Concept
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.
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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
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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.
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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.
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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%
Common Mistake: 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