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A shopkeeper sells an article at Rs. 40 and gets X% profit. However, when he sells it at Rs. 20, he faces same percentage of loss. What is the original cost of the article?
- a)Rs. 10
- b)Rs. 20
- c)Rs. 30
- d)Rs. 40
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
A shopkeeper sells an article at Rs. 40 and gets X% profit. However, w...
Given, selling price at Rs. 40 and selling price at Rs. 20 are given.
Let the original cost price be x.
Profit when selling price is Rs. 40 is given as X%.
So, the selling price is calculated as:
40 = x + x*(X/100)
=> 40 = x*(1 + X/100)
=> x = 40*100/(100+X) ------- Equation 1
Loss when selling price is Rs. 20 is also X%.
So, the selling price is calculated as:
20 = x - x*(X/100)
=> 20 = x*(1 - X/100)
=> x = 20*100/(100-X) ------- Equation 2
Equating Equation 1 and Equation 2,
40*100/(100+X) = 20*100/(100-X)
=> 2 + X/5 = 5 - X/5
=> X/5 + X/5 = 3
=> X = 15
Therefore, the original cost price (x) is:
x = 40*100/(100+15)
=> x = 4000/115
=> x = 34.78
Hence, the original cost price of the article is Rs. 30 (approx).
Let the original cost price be x.
Profit when selling price is Rs. 40 is given as X%.
So, the selling price is calculated as:
40 = x + x*(X/100)
=> 40 = x*(1 + X/100)
=> x = 40*100/(100+X) ------- Equation 1
Loss when selling price is Rs. 20 is also X%.
So, the selling price is calculated as:
20 = x - x*(X/100)
=> 20 = x*(1 - X/100)
=> x = 20*100/(100-X) ------- Equation 2
Equating Equation 1 and Equation 2,
40*100/(100+X) = 20*100/(100-X)
=> 2 + X/5 = 5 - X/5
=> X/5 + X/5 = 3
=> X = 15
Therefore, the original cost price (x) is:
x = 40*100/(100+15)
=> x = 4000/115
=> x = 34.78
Hence, the original cost price of the article is Rs. 30 (approx).
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Community Answer
A shopkeeper sells an article at Rs. 40 and gets X% profit. However, w...
Answer is 30.
Put the Value of Cost Price in Profit% formula and loss % formula..You see percentage is equal in both
Put the Value of Cost Price in Profit% formula and loss % formula..You see percentage is equal in both
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A shopkeeper sells an article at Rs. 40 and gets X% profit. However, when he sells it at Rs. 20, he faces same percentage of loss. What is the original cost of the article?a)Rs. 10b)Rs. 20c)Rs. 30d)Rs. 40Correct answer is option 'C'. Can you explain this answer?
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A shopkeeper sells an article at Rs. 40 and gets X% profit. However, when he sells it at Rs. 20, he faces same percentage of loss. What is the original cost of the article?a)Rs. 10b)Rs. 20c)Rs. 30d)Rs. 40Correct answer is option 'C'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A shopkeeper sells an article at Rs. 40 and gets X% profit. However, when he sells it at Rs. 20, he faces same percentage of loss. What is the original cost of the article?a)Rs. 10b)Rs. 20c)Rs. 30d)Rs. 40Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A shopkeeper sells an article at Rs. 40 and gets X% profit. However, when he sells it at Rs. 20, he faces same percentage of loss. What is the original cost of the article?a)Rs. 10b)Rs. 20c)Rs. 30d)Rs. 40Correct answer is option 'C'. Can you explain this answer?.
A shopkeeper sells an article at Rs. 40 and gets X% profit. However, when he sells it at Rs. 20, he faces same percentage of loss. What is the original cost of the article?a)Rs. 10b)Rs. 20c)Rs. 30d)Rs. 40Correct answer is option 'C'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A shopkeeper sells an article at Rs. 40 and gets X% profit. However, when he sells it at Rs. 20, he faces same percentage of loss. What is the original cost of the article?a)Rs. 10b)Rs. 20c)Rs. 30d)Rs. 40Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A shopkeeper sells an article at Rs. 40 and gets X% profit. However, when he sells it at Rs. 20, he faces same percentage of loss. What is the original cost of the article?a)Rs. 10b)Rs. 20c)Rs. 30d)Rs. 40Correct answer is option 'C'. Can you explain this answer?.
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A shopkeeper sells an article at Rs. 40 and gets X% profit. However, when he sells it at Rs. 20, he faces same percentage of loss. What is the original cost of the article?a)Rs. 10b)Rs. 20c)Rs. 30d)Rs. 40Correct answer is option 'C'. Can you explain this answer?, a detailed solution for A shopkeeper sells an article at Rs. 40 and gets X% profit. However, when he sells it at Rs. 20, he faces same percentage of loss. What is the original cost of the article?a)Rs. 10b)Rs. 20c)Rs. 30d)Rs. 40Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of A shopkeeper sells an article at Rs. 40 and gets X% profit. However, when he sells it at Rs. 20, he faces same percentage of loss. What is the original cost of the article?a)Rs. 10b)Rs. 20c)Rs. 30d)Rs. 40Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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