IBPS RRB PO False Weight / Fraudulent Dealer — Study Material & 13 Practice MCQs | ZestExam
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IBPS RRB PO False Weight / Fraudulent Dealer
Study Material · Concept Notes · Shortcuts
This page covers IBPS RRB PO False Weight / Fraudulent Dealer with complete concept notes, 13 graded practice MCQs, key points and exam-specific tips. Free to study.
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.
Test False Weight / Fraudulent Dealer under exam conditions
A dishonest shopkeeper claims to sell goods at cost price but uses 800 g weights instead of 1 kg. What is his profit percentage?
Practice 2easy
A merchant uses 1200 g weights instead of 1 kg. What is his loss or profit percentage?
Practice 3medium
A dishonest dealer uses a balance that reads 1100 grams when the actual weight is 1000 grams. He buys goods at ₹50 per kilogram and sells at ₹60 per kilogram using this faulty balance. What is his profit percentage?
Practice 4medium
A dishonest shopkeeper claims to sell goods at cost price but uses false weights. He gives only 900 grams when he should give 1000 grams. What is his profit percentage?
Practice 5medium
A merchant uses weights that are 20% less than the standard. He marks his goods at 25% above cost price and gives a discount of 10% on the marked price. What is his overall profit percentage?
Practice 6medium
A vendor uses false weights and gives 950 grams instead of 1 kilogram. He also adulterates the goods such that the cost price reduces by 10%. If he sells at the marked price (which is cost price of pure goods), what is his profit percentage?
Practice 7medium
A fraudulent dealer uses 800 grams weight instead of 1 kilogram and claims to sell at cost price. If his actual cost is ₹40 per kilogram, what is his profit per kilogram of goods sold (at marked price)?
Practice 8hard
A dishonest trader uses false weights and sells goods at 25% profit. When buying, he uses 1050 g weights (marked as 1 kg), and when selling, he uses 950 g weights (marked as 1 kg). What is his actual profit percentage?
Practice 9hard
A fraudulent dealer sells goods at 25% profit but uses weights such that 1200 g is marked as 1 kg. What is his actual profit percentage?
Practice 10hard
A dealer uses false weights and sells goods at cost price. When he buys goods, he uses 1100 g weights (claiming them to be 1 kg), and when he sells, he uses 900 g weights (claiming them to be 1 kg). What is his profit percentage?
Practice 11hard
A shopkeeper sells goods at 20% profit but uses 800 g weights instead of 1 kg. A customer buys goods for ₹600. How much should the customer actually pay for the same quantity of goods at true weight and true cost price?
Practice 12hard
A dealer uses 950 g weights instead of 1 kg when selling. He claims to sell at cost price. A customer suspects fraud and weighs the goods on a true balance. If the customer paid ₹475 for goods marked as 1 kg, what is the true cost price per kilogram of the goods?
Practice 13hard
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?