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Find the profit percentage, if a shopkeeper earns profit equal to the selling price of 3 pens on selling 10 pens ?
- a)42.85
- b)40.85
- c)42.55
- d)40.55
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Find the profit percentage, if a shopkeeper earns profit equal to the ...
Let SP of 1 pen = 10/-
SP of 10 pens = 100/-
Profit = SP of 3 pens = 30/-
CP = SP - Profit = 100 - 30 = 70/-
Profit % = \frac{30}{70}\times 100 = 42.857030×100=42.85%
So the answer is option A.
Most Upvoted Answer
Find the profit percentage, if a shopkeeper earns profit equal to the ...
Understanding the Problem
In this problem, we need to calculate the profit percentage when a shopkeeper sells pens.
Given Information
- Selling Price (SP) of 10 pens = Profit equal to SP of 3 pens.
- Let the Selling Price (SP) of one pen be 'x'.
Calculating Selling Price
- Therefore, SP of 10 pens = 10 * x = 10x.
- Profit from selling 10 pens = SP of 3 pens = 3 * x = 3x.
Calculating Cost Price (CP)
- We know:
Profit = Selling Price - Cost Price
- Therefore,
3x = 10x - CP of 10 pens
- Rearranging gives us:
CP of 10 pens = 10x - 3x = 7x.
Calculating Cost Price of One Pen
- CP of one pen = CP of 10 pens / 10 = 7x / 10 = 0.7x.
Calculating Profit
- Profit for 10 pens = SP - CP = 10x - 7x = 3x.
Calculating Profit Percentage
- Profit Percentage = (Profit / Cost Price) * 100
- Therefore,
Profit Percentage = (3x / 7x) * 100 = (3/7) * 100.
- Converting to percentage gives us approximately:
Profit Percentage = 42.85%.
Conclusion
Thus, the profit percentage when the shopkeeper sells 10 pens is 42.85%, which corresponds to option 'A'.
In this problem, we need to calculate the profit percentage when a shopkeeper sells pens.
Given Information
- Selling Price (SP) of 10 pens = Profit equal to SP of 3 pens.
- Let the Selling Price (SP) of one pen be 'x'.
Calculating Selling Price
- Therefore, SP of 10 pens = 10 * x = 10x.
- Profit from selling 10 pens = SP of 3 pens = 3 * x = 3x.
Calculating Cost Price (CP)
- We know:
Profit = Selling Price - Cost Price
- Therefore,
3x = 10x - CP of 10 pens
- Rearranging gives us:
CP of 10 pens = 10x - 3x = 7x.
Calculating Cost Price of One Pen
- CP of one pen = CP of 10 pens / 10 = 7x / 10 = 0.7x.
Calculating Profit
- Profit for 10 pens = SP - CP = 10x - 7x = 3x.
Calculating Profit Percentage
- Profit Percentage = (Profit / Cost Price) * 100
- Therefore,
Profit Percentage = (3x / 7x) * 100 = (3/7) * 100.
- Converting to percentage gives us approximately:
Profit Percentage = 42.85%.
Conclusion
Thus, the profit percentage when the shopkeeper sells 10 pens is 42.85%, which corresponds to option 'A'.
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Find the profit percentage, if a shopkeeper earns profit equal to the selling price of 3 pens on selling 10 pens ?a)42.85b)40.85c)42.55d)40.55Correct answer is option 'A'. Can you explain this answer?
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Find the profit percentage, if a shopkeeper earns profit equal to the selling price of 3 pens on selling 10 pens ?a)42.85b)40.85c)42.55d)40.55Correct answer is option 'A'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Find the profit percentage, if a shopkeeper earns profit equal to the selling price of 3 pens on selling 10 pens ?a)42.85b)40.85c)42.55d)40.55Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the profit percentage, if a shopkeeper earns profit equal to the selling price of 3 pens on selling 10 pens ?a)42.85b)40.85c)42.55d)40.55Correct answer is option 'A'. Can you explain this answer?.
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