Agniveer Army CEE False Weight / Fraudulent Dealer
Study Material · Concept Notes · Shortcuts
This page covers Agniveer Army CEE False Weight / Fraudulent Dealer with complete concept notes, 8 graded practice MCQs, key points and exam-specific tips. Free to study.
Core ConceptRead 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.
Formula BlockMemorise — 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
Exam PatternsWhat 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.
ShortcutsUse 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.
Worked ExampleSolve 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.
A dishonest shopkeeper claims to sell rice at cost price but uses 900 g weights instead of 1000 g. What is his profit percentage?
Practice 2easy
A fraudulent dealer buys goods at ₹10 per kg and sells them using a false weight of 800 g instead of 1 kg, claiming to sell at cost price. What is his actual profit per kg of goods he buys?
Practice 3easy
A merchant uses 750 g weights to sell sugar instead of 1000 g, but buys sugar at the same rate he sells it. What is his gain percentage?
Practice 4medium
A merchant sells rice at ₹50 per kg using weights of 900 g instead of 1 kg. If his cost price is ₹40 per kg, what is his overall profit percentage?
Practice 5medium
A dishonest dealer claims to sell at cost price but uses 1200 g weight for marking 1 kg. What is the loss percentage to the customer?
Practice 6medium
A dishonest shopkeeper claims to sell goods at cost price but uses 800 g weights instead of 1000 g. What is his profit percentage?
Practice 7medium
A fraudulent dealer buys goods at ₹10 per kg and sells them at ₹12 per kg, but uses false weights. For every 1 kg sold, he actually gives only 750 g. What is his actual profit percentage?
Practice 8hard
A dishonest shopkeeper claims to sell goods at cost price but uses false weights. He uses 800 g instead of 1000 g while buying and 1000 g instead of 800 g while selling. What is his overall profit percentage?