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On selling a watch for Rs. 720, a shopkeeper incurs a loss of 33.33%. Find the cost price of the watch for the shopkeeper.
- a)Rs. 1000
- b)Rs. 1080
- c)Rs. 1200
- d)Rs. 1280
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
On selling a watch for Rs. 720, a shopkeeper incurs a loss of 33.33%. ...
Understanding the Problem
The shopkeeper sells a watch for Rs. 720 and experiences a loss of 33.33%. To find the cost price (CP) of the watch, we need to understand the relationship between selling price (SP), cost price (CP), and loss percentage.
Loss Percentage Explanation
- Loss percentage is calculated based on the cost price.
- A loss of 33.33% means that the selling price is 66.67% of the cost price.
- This is derived from the fact that if you lose 33.33%, you retain 100% - 33.33% = 66.67% of your investment.
Calculating the Cost Price
1. Identify the Selling Price and Loss Percentage:
- Selling Price (SP) = Rs. 720
- Loss Percentage = 33.33%
2. Convert Loss Percentage into a Decimal:
- 33.33% = 33.33/100 = 0.3333
3. Calculate the Percentage of Cost Price Retained:
- Retained Percentage = 100% - 33.33% = 66.67% = 66.67/100 = 0.6667
4. Set Up the Equation:
- Since SP = CP * Retained Percentage:
- 720 = CP * 0.6667
5. Solve for Cost Price (CP):
- CP = 720 / 0.6667
- CP ≈ 1080
Conclusion
The cost price of the watch for the shopkeeper is approximately Rs. 1080, confirming that the correct answer is option 'B'.
The shopkeeper sells a watch for Rs. 720 and experiences a loss of 33.33%. To find the cost price (CP) of the watch, we need to understand the relationship between selling price (SP), cost price (CP), and loss percentage.
Loss Percentage Explanation
- Loss percentage is calculated based on the cost price.
- A loss of 33.33% means that the selling price is 66.67% of the cost price.
- This is derived from the fact that if you lose 33.33%, you retain 100% - 33.33% = 66.67% of your investment.
Calculating the Cost Price
1. Identify the Selling Price and Loss Percentage:
- Selling Price (SP) = Rs. 720
- Loss Percentage = 33.33%
2. Convert Loss Percentage into a Decimal:
- 33.33% = 33.33/100 = 0.3333
3. Calculate the Percentage of Cost Price Retained:
- Retained Percentage = 100% - 33.33% = 66.67% = 66.67/100 = 0.6667
4. Set Up the Equation:
- Since SP = CP * Retained Percentage:
- 720 = CP * 0.6667
5. Solve for Cost Price (CP):
- CP = 720 / 0.6667
- CP ≈ 1080
Conclusion
The cost price of the watch for the shopkeeper is approximately Rs. 1080, confirming that the correct answer is option 'B'.
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Community Answer
On selling a watch for Rs. 720, a shopkeeper incurs a loss of 33.33%. ...
Let CP = 3x
SP = 2x
Hence, Option B is correct.
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Question Description
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On selling a watch for Rs. 720, a shopkeeper incurs a loss of 33.33%. Find the cost price of the watch for the shopkeeper.a)Rs. 1000b)Rs. 1080c)Rs. 1200d)Rs. 1280Correct answer is option 'B'. Can you explain this answer? for SSC CGL 2026 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about On selling a watch for Rs. 720, a shopkeeper incurs a loss of 33.33%. Find the cost price of the watch for the shopkeeper.a)Rs. 1000b)Rs. 1080c)Rs. 1200d)Rs. 1280Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for SSC CGL 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for On selling a watch for Rs. 720, a shopkeeper incurs a loss of 33.33%. Find the cost price of the watch for the shopkeeper.a)Rs. 1000b)Rs. 1080c)Rs. 1200d)Rs. 1280Correct answer is option 'B'. Can you explain this answer?.
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