This page covers SBI PO False Weight / Fraudulent Dealer with complete concept notes, 11 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 goods at cost price but uses a false weight of 800 g instead of 1000 g. What is his profit percentage?
Practice 2easy
A shopkeeper uses 1.25 kg weights instead of 1 kg while selling. At what price should he mark his goods (in terms of cost price) to make a profit of 20%?
Practice 3easy
A dishonest grocer uses 750 g weights instead of 1 kg while selling. If he sells at the marked price equal to cost price, what is his profit percentage?
Practice 4easy
A merchant uses 960 g weights instead of 1 kg while selling. If he wants to earn a profit of 25% on cost price, at what percentage above cost price should he mark his goods?
Practice 5medium
A fraudulent merchant uses 800 g weights instead of 1 kg and also marks up the price by 25% above cost price. What is his total profit percentage?
Practice 6medium
A dealer uses 1200 g weights instead of 1 kg and sells at 20% below the marked price. If marked price is ₹600 per kg, what is his profit or loss percentage?
Practice 7hard
A dishonest shopkeeper claims to sell goods at cost price but uses a 900g weight instead of 1 kg. What is his profit percentage?
Practice 8hard
A fraudulent dealer buys goods at ₹10 per kg and sells at ₹15 per kg, but uses 800g weights instead of 1 kg. What is his overall profit percentage?
Practice 9hard
A dishonest grocer buys sugar at ₹40 per kg and sells at ₹50 per kg using 800g weights instead of 1 kg. A customer buys 4 kg of sugar (as per the grocer's weights). How much more or less does the customer actually receive compared to what he paid for?
Practice 10hard
A vendor uses 1.2 kg weights instead of 1 kg and sells at ₹60 per kg (marked price). If his cost price is ₹50 per kg, what is his profit percentage?
Practice 11hard
A dealer buys goods at ₹8 per kg and sells at ₹10 per kg. While buying, he uses 900g weights (his weight is 900g but marked as 1 kg), and while selling, he uses 1100g weights (his weight is 1100g but marked as 1 kg). What is his profit percentage?