False Weight Questions are often referred to and known among students and aspirants of various competitive examinations such as SSC CGL, SSC CHSL, SSC MTS, RRB NTPC, RRB Group D, RRB ALP, Banking, Defence and other exams as Dishonest Shopkeeper Questions.
This section specifically covers Dishonest Shopkeeper Questions with Answers and Solutions to help students and aspirants practise all the important concepts on a single page.
You can revisit the complete formulas in our Profit, Loss and Discount Formula section. Students and aspirants can also practise Marked Price Questions, Successive Discount Questions, Discount Questions and Profit & Loss Questions in their dedicated sections.
So, let us start with Dishonest Shopkeeper Questions with Answers and Solutions.
Quick note to Formula:
Cost Price of Goods Given = Actual Cost Price × False Weight / True Weight
Profit % = [(True Weight − False Weight) ÷ False Weight] × 100
Question 1: A Section Controller purchases 1 kg of dry fruits from a local shop.The shopkeeper charges for 1 kg but actually gives only 900 g. Find the profit percentage earned by the shopkeeper.
A. 10%
B. 11.11%
C. 12.5%
D. 15%
Solution
Key Numbers
True Weight = 1 kg = 1000 g
False Weight = 900 g
Formula Used
Profit % = [(True Weight − False Weight) ÷ False Weight] × 100
Step 1: Substitute the Values
Profit % = [(1000 − 900) ÷ 900] × 100
Step 2: Simplify
Profit % = (100 ÷ 900) × 100
= 1/9 × 100
= 11.11%
Answer
Profit Percentage = 11.11%
Correct Option: B. 11.11%
SSC/RRB/Banking Quick Method
The shopkeeper gives only 900 g instead of 1000 g.
Short Weight = 100 g
Profit %
= (100 ÷ 900) × 100
= 11.11%
Answer = 11.11%
Question 2: A vendor near Deendayal Upadhyaya Railway Station sells tea leaves.He charges customers for 1 kg but actually delivers only 800 g. Find the profit percentage earned due to false weight.
A. 20%
B. 22%
C. 25%
D. 30%
Solution
Key Numbers
True Weight = 1 kg = 1000 g
False Weight = 800 g
Step 1: Substitute the Values in the Formula
Profit % = [(True Weight − False Weight) ÷ False Weight] × 100
Profit % = [(1000 − 800) ÷ 800] × 100
Step 2: Simplify
Profit % = (200 ÷ 800) × 100
= 1/4 × 100
= 25%
Answer
Profit Percentage = 25%
Question 3: During Mahakumbh 2024, a temporary vendor earns a profit of 25% due to false weight alone. Find the actual weight supplied instead of 1 kg.
A. 750 g
B. 800 g
C. 850 g
D. 900 g
Solution
Key Numbers
Profit % = 25%
True Weight = 1 kg = 1000 g
Step 1: Use the Profit Percentage Formula
Profit % = [(True Weight − False Weight) ÷ False Weight] × 100
Step 2: Substitute the Values
25 = [(1000 − False Weight) ÷ False Weight] × 100
Step 3: Simplify
25/100 = (1000 − False Weight) ÷ False Weight
¼ = (1000 − False Weight) ÷ False Weight
Cross-multiplying:
False Weight
= 4(1000 − False Weight)
False Weight = 4000 − 4False Weight
5False Weight = 4000
False Weight = 800 g
Answer
Actual Weight Supplied = 800 g
Question 4: A traveller staying in an IRCTC Tourism Retiring Room purchases packaged snacks.The shopkeeper buys the snacks at ₹300 per kg but supplies only 900 g while charging for 1 kg. Find the cost price of the goods actually delivered.
A. ₹250
B. ₹270
C. ₹280
D. ₹300
Solution
Key Numbers
Actual Cost Price = ₹300 per kg
False Weight = 900 g
True Weight = 1000 g
Formula Used
Cost Price of Goods Given
= Actual Cost Price × False Weight / True Weight
Step 1: Substitute the Values
Cost Price of Goods Given
= 300 × 900/1000
Step 2: Simplify
= 300 × 9/10
= ₹270
Answer
Cost Price of Goods Actually Delivered = ₹270
Correct Option: B. ₹270
SSC/RRB/Banking Quick Method
900 g = 90% of 1 kg
Cost Price of Goods Given
= 90% of ₹300
= ₹270
Answer = ₹270
Question 5: A boating operator near Fateh Sagar Lake, Udaipur purchases snacks at ₹200 per kg.While selling, he charges customers for 1 kg but actually gives only 900 g.Find the cost price of the goods actually delivered.
A. ₹170
B. ₹180
C. ₹190
D. ₹200
Solution
Key Numbers
Actual Cost Price = ₹200 per kg
False Weight = 900 g
Step 1: Find the Cost Price of Goods Actually Delivered
Cost Price of Goods Given
= 200 × 900/1000
Step 2: Simplify
= 200 × 9/10
= ₹180
Answer
Cost Price of Goods Actually Delivered = ₹180
Correct Option: B. ₹180
Question 6: During a Rajsamand to Jodhpur road trip in 2017, a roadside vendor purchases dry fruits at ₹400 per kg. He supplies only 850 g while charging for 1 kg.Find the cost price of the quantity actually delivered.
A. ₹320
B. ₹340
C. ₹360
D. ₹380
Solution
Key Numbers
Actual Cost Price = ₹400 per kg
False Weight = 850 g
Step 1: Find the Cost Price of the Quantity Actually Delivered
Cost Price of Goods Given
= 400 × 850/1000
Step 2: Simplify
= 400 × 17/20
= ₹340
Answer
Cost Price of the Quantity Actually Delivered = ₹340
Correct Option: B. ₹340
SSC/RRB/Banking Quick Method
850 g = 85% of 1 kg
85% of ₹400
= ₹340
Answer = ₹340
Question 7: An HZL Dariba employee notices that a grocery shop gives only 800 g instead of 1 kg. If the shopkeeper charges ₹500 per kg, find his profit amount per kilogram sold.
A. ₹80
B. ₹100
C. ₹120
D. ₹125
Solution
Key Numbers
Selling Price (for 1 kg) = ₹500
True Weight = 1000 g
False Weight = 800 g
Step 1: Find the Cost of Goods Actually Delivered
The shopkeeper charges for 1 kg but delivers only 800 g.
Cost of Goods Delivered
= 500 × 800/1000
= ₹400
Step 2: Find the Profit Amount
Profit
= Selling Price − Cost of Goods Delivered
= 500 − 400
= ₹100
Answer
Profit Amount = ₹100
Correct Option: B. ₹100
SSC/RRB/Banking Quick Method
The shopkeeper gives only 800 g.
Short Weight
= 1000 − 800
= 200 g
200 g = 20% of 1 kg
20% of ₹500
= ₹100
Answer = ₹100
Question 8: A customer books a bus ticket through RedBus and purchases snacks during the journey.The shopkeeper earns a profit of 25% due to false weight alone.Find the actual weight supplied instead of 1 kg.
A. 750 g
B. 800 g
C. 850 g
D. 900 g
Solution
Key Numbers
Profit % = 25%
True Weight = 1000 g
Step 1: Convert Profit Percentage into Fraction
25%
= 1/4
Step 2: Find the Actual Weight Supplied
Actual Weight Supplied
= 1000 × 4/(4 + 1)
= 1000 × 4/5
= 800 g
Answer
Actual Weight Supplied = 800 g
Correct Option: B. 800 g
Question 9: A shopkeeper near Puri Beach charges ₹600 for 1 kg of cashew nuts.The actual cost price is ₹500 per kg.He supplies only 900 g while charging for 1 kg.Find the overall profit percentage.
A. 30%
B. 33.33%
C. 35%
D. 40%
Solution
Key Numbers
Selling Price (for 1 kg) = ₹600
Actual Cost Price = ₹500 per kg
False Weight = 900 g
Step 1: Find the Cost Price of Goods Actually Delivered
Cost Price of Goods Delivered
= 500 × 900/1000
= ₹450
Step 2: Find the Profit Amount
Profit
= Selling Price − Cost Price of Goods Delivered
= 600 − 450
= ₹150
Step 3: Find the Overall Profit Percentage
Profit %
= (Profit ÷ Cost Price of Goods Delivered) × 100
= (150 ÷ 450) × 100
= 1/3 × 100
= 33.33%
Answer
Overall Profit Percentage = 33.33%
Correct Option: B. 33.33%
SSC/RRB/Banking Quick Method
900 g costs
= ₹500 × 900/1000
= ₹450
Profit
= 600 − 450
= ₹150
Profit %
= 150/450 × 100
= 33.33%
Answer = 33.33%
Question 10: A vendor near Manguli Chowk, Cuttack earns an overall profit of 11.11%. He sells goods at cost price but uses false weights.
Find the weight actually supplied instead of 1 kg.
A. 850 g
B. 900 g
C. 950 g
D. 800 g
Solution
Key Numbers
Overall Profit % = 11.11%
True Weight = 1000 g
Since the vendor sells at cost price, the entire profit comes from using false weights.
Step 1: Convert Profit Percentage into Fraction
11.11%
= 1/9
Step 2: Find the Actual Weight Supplied
Actual Weight Supplied
= 1000 × 9/(9 + 1)
= 1000 × 9/10
= 900 g
Answer
Weight Actually Supplied = 900 g
Correct Option: B. 900 g
Question 11: A trader near JSW Ispat, Alibaug purchases goods at ₹1,000 per kg. He marks the goods at ₹1,200 per kg and offers a discount of 10% to customers. However, he supplies only 800 g instead of 1 kg. Find the overall profit percentage.
A. 25%
B. 30%
C. 35%
D. 40%
Solution
Key Numbers
Cost Price = ₹1,000 per kg
Marked Price = ₹1,200 per kg
Discount = 10%
False Weight = 800 g
Step 1: Find the Selling Price After Discount
Selling Price
= 1200 × 90/100
= ₹1,080
Step 2: Find the Profit Due to Pricing
Profit Due to Pricing
= Selling Price − Cost Price
= 1080 − 1000
= ₹80
Step 3: Find the Profit Due to False Weight
The customer pays ₹1,080 for 800 g.
Therefore, the value of the 200 g saved is:
Profit Due to False Weight
= 1080 × 200/800
= ₹270
Step 4: Find the Total Profit
Total Profit
= 80 + 270
= ₹350
Step 5: Find the Overall Profit Percentage
Profit %
= (350 ÷ 1000) × 100
= 35%
Answer
Overall Profit Percentage = 35%
Correct Option: C. 35%
What We Have Learnt
After solving these questions, we have covered a wide range of important Dishonest Shopkeeper concepts, including:
Cost Price of Goods Actually Delivered
Profit Percentage Due to False Weight
Finding False Weight from Profit Percentage
Profit Amount Earned by the Shopkeeper
Overall Profit Percentage
Markup and False Weight Combined
Discount and False Weight Combined
Reverse Concept-Based Questions
These concepts are frequently asked in SSC, RRB, Banking, Defence and other competitive examinations and form an important part of the Profit, Loss and Discount chapter.
Important Resources Related to Profit, Loss & Discount
- Profit & Loss Questions with Answers and Solutions
- Profit, Loss and Discount: Formula, Questions, Tricks & Examples for SSC, RRB
- Profit, Loss and Discount Formulas: Complete Formula Sheet for SSC, RRB, Banking & Defence Exams
- Discount Questions with Answers and Solutions
- GST Questions with Answers and Solutions
- Marked Price Questions with Answers and Solutions
- Successive Discount Questions with Answers and Solutions
- Profit, Loss & Discount Practice Questions
- Profit, Loss & Discount PYQs SSC, RRB, Banking & Defence Exams (Solved)