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A shopkeeper gains 15% after allowing a discount of 20% on the market price of an article. Find his profit %, if the articles are sold at a market price allowing no discount?
- a)43.76%
- b)45%
- c)50%
- d)53.75%
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
A shopkeeper gains 15% after allowing a discount of 20% on the market ...
Market price = Rs.100
SP = Rs.80, Discount = 20
Gain = 15%
CP = 80*100/115 = 69.56
Profit % = [100-69.56/69.56]*100
= 30.44*100/69.56
= 43.76%
SP = Rs.80, Discount = 20
Gain = 15%
CP = 80*100/115 = 69.56
Profit % = [100-69.56/69.56]*100
= 30.44*100/69.56
= 43.76%
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Community Answer
A shopkeeper gains 15% after allowing a discount of 20% on the market ...
Understanding the Problem
To find the profit percentage when the articles are sold at market price without any discount, we first need to analyze the given information:
- The shopkeeper offers a 20% discount on the market price (MP).
- After applying this discount, he still makes a profit of 15%.
Calculating Cost Price (CP) and Selling Price (SP)
Let's assume the market price (MP) of the article is ₹100.
- With a 20% discount, the selling price (SP) becomes:
SP = MP - (20% of MP)
SP = 100 - (0.20 × 100)
SP = 100 - 20 = ₹80
- The shopkeeper gains 15% on the cost price (CP). Therefore, if we let CP be ₹x, we can express the selling price in terms of the cost price:
SP = CP + (15% of CP)
SP = x + (0.15 × x)
SP = 1.15x
Since we calculated SP as ₹80:
1.15x = 80
x = 80 / 1.15
x = ₹69.57 (approximately)
Calculating Profit % at Market Price
Now, if the articles are sold at the market price of ₹100, the profit can be calculated as follows:
- Profit = Selling Price - Cost Price
- Profit = 100 - 69.57 = ₹30.43 (approximately)
To find the profit percentage when sold at market price:
Profit % = (Profit / CP) × 100
Profit % = (30.43 / 69.57) × 100
Profit % ≈ 43.76%
Conclusion
Thus, the shopkeeper's profit percentage when selling at market price without any discount is approximately 43.76%. The correct answer is option 'A'.
To find the profit percentage when the articles are sold at market price without any discount, we first need to analyze the given information:
- The shopkeeper offers a 20% discount on the market price (MP).
- After applying this discount, he still makes a profit of 15%.
Calculating Cost Price (CP) and Selling Price (SP)
Let's assume the market price (MP) of the article is ₹100.
- With a 20% discount, the selling price (SP) becomes:
SP = MP - (20% of MP)
SP = 100 - (0.20 × 100)
SP = 100 - 20 = ₹80
- The shopkeeper gains 15% on the cost price (CP). Therefore, if we let CP be ₹x, we can express the selling price in terms of the cost price:
SP = CP + (15% of CP)
SP = x + (0.15 × x)
SP = 1.15x
Since we calculated SP as ₹80:
1.15x = 80
x = 80 / 1.15
x = ₹69.57 (approximately)
Calculating Profit % at Market Price
Now, if the articles are sold at the market price of ₹100, the profit can be calculated as follows:
- Profit = Selling Price - Cost Price
- Profit = 100 - 69.57 = ₹30.43 (approximately)
To find the profit percentage when sold at market price:
Profit % = (Profit / CP) × 100
Profit % = (30.43 / 69.57) × 100
Profit % ≈ 43.76%
Conclusion
Thus, the shopkeeper's profit percentage when selling at market price without any discount is approximately 43.76%. The correct answer is option 'A'.
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A shopkeeper gains 15% after allowing a discount of 20% on the market price of an article. Find his profit %, if the articles are sold at a market price allowing no discount?a)43.76%b)45%c)50%d)53.75%Correct answer is option 'A'. Can you explain this answer?
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A shopkeeper gains 15% after allowing a discount of 20% on the market price of an article. Find his profit %, if the articles are sold at a market price allowing no discount?a)43.76%b)45%c)50%d)53.75%Correct answer is option 'A'. Can you explain this answer? for Interview Preparation 2024 is part of Interview Preparation preparation. The Question and answers have been prepared according to the Interview Preparation exam syllabus. Information about A shopkeeper gains 15% after allowing a discount of 20% on the market price of an article. Find his profit %, if the articles are sold at a market price allowing no discount?a)43.76%b)45%c)50%d)53.75%Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Interview Preparation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A shopkeeper gains 15% after allowing a discount of 20% on the market price of an article. Find his profit %, if the articles are sold at a market price allowing no discount?a)43.76%b)45%c)50%d)53.75%Correct answer is option 'A'. Can you explain this answer?.
A shopkeeper gains 15% after allowing a discount of 20% on the market price of an article. Find his profit %, if the articles are sold at a market price allowing no discount?a)43.76%b)45%c)50%d)53.75%Correct answer is option 'A'. Can you explain this answer? for Interview Preparation 2024 is part of Interview Preparation preparation. The Question and answers have been prepared according to the Interview Preparation exam syllabus. Information about A shopkeeper gains 15% after allowing a discount of 20% on the market price of an article. Find his profit %, if the articles are sold at a market price allowing no discount?a)43.76%b)45%c)50%d)53.75%Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Interview Preparation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A shopkeeper gains 15% after allowing a discount of 20% on the market price of an article. Find his profit %, if the articles are sold at a market price allowing no discount?a)43.76%b)45%c)50%d)53.75%Correct answer is option 'A'. Can you explain this answer?.
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