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If an article is sold for a gain of 7% instead of selling it at a loss of 13%, a trader gets Rs.1080 more. What is the selling price of the article, when the article is sold at a profit of 25%?
- a)Rs. 6750
- b)Rs. 3600
- c)Rs. 5400
- d)Rs. 4500
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
If an article is sold for a gain of 7% instead of selling it at a los...
Let cost price of article be Rsx (13 + 7)% of x = 1080
View all questions of this test
20% of x = 1080
x = 5400
SP = 125% of 5400 = 6750
Most Upvoted Answer
If an article is sold for a gain of 7% instead of selling it at a los...
To solve this question, we can use the concept of cost price, selling price, and profit/loss percentage.
Given information:
- The article is sold for a gain of 7% instead of a loss of 13%.
- The trader gets Rs.1080 more.
Let's assume the cost price of the article is x.
Selling at a loss of 13%:
When an article is sold at a loss of 13%, the selling price is given by:
Selling price = Cost price - (Loss percentage * Cost price)
Selling price = x - (0.13 * x)
Selling price = x(1 - 0.13)
Selling price = x(0.87)
Selling at a gain of 7%:
When an article is sold at a gain of 7%, the selling price is given by:
Selling price = Cost price + (Profit percentage * Cost price)
Selling price = x + (0.07 * x)
Selling price = x(1 + 0.07)
Selling price = x(1.07)
Given that the trader gets Rs.1080 more when the article is sold at a gain of 7% instead of a loss of 13%, we can set up the equation:
Selling price at a gain of 7% - Selling price at a loss of 13% = Rs.1080
(x(1.07)) - (x(0.87)) = 1080
1.07x - 0.87x = 1080
0.20x = 1080
x = 1080 / 0.20
x = 5400
So, the cost price of the article is Rs.5400.
Now, let's calculate the selling price when the article is sold at a profit of 25%:
Selling price = Cost price + (Profit percentage * Cost price)
Selling price = 5400 + (0.25 * 5400)
Selling price = 5400 + 1350
Selling price = 6750
Therefore, the selling price of the article when sold at a profit of 25% is Rs.6750.
Hence, the correct answer is option A) Rs. 6750.
Given information:
- The article is sold for a gain of 7% instead of a loss of 13%.
- The trader gets Rs.1080 more.
Let's assume the cost price of the article is x.
Selling at a loss of 13%:
When an article is sold at a loss of 13%, the selling price is given by:
Selling price = Cost price - (Loss percentage * Cost price)
Selling price = x - (0.13 * x)
Selling price = x(1 - 0.13)
Selling price = x(0.87)
Selling at a gain of 7%:
When an article is sold at a gain of 7%, the selling price is given by:
Selling price = Cost price + (Profit percentage * Cost price)
Selling price = x + (0.07 * x)
Selling price = x(1 + 0.07)
Selling price = x(1.07)
Given that the trader gets Rs.1080 more when the article is sold at a gain of 7% instead of a loss of 13%, we can set up the equation:
Selling price at a gain of 7% - Selling price at a loss of 13% = Rs.1080
(x(1.07)) - (x(0.87)) = 1080
1.07x - 0.87x = 1080
0.20x = 1080
x = 1080 / 0.20
x = 5400
So, the cost price of the article is Rs.5400.
Now, let's calculate the selling price when the article is sold at a profit of 25%:
Selling price = Cost price + (Profit percentage * Cost price)
Selling price = 5400 + (0.25 * 5400)
Selling price = 5400 + 1350
Selling price = 6750
Therefore, the selling price of the article when sold at a profit of 25% is Rs.6750.
Hence, the correct answer is option A) Rs. 6750.
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If an article is sold for a gain of 7% instead of selling it at a loss of 13%, a trader gets Rs.1080 more. What is the selling price of the article, when the article is sold at a profit of 25%?a)Rs. 6750b)Rs. 3600c)Rs. 5400d)Rs. 4500Correct answer is option 'A'. Can you explain this answer?
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If an article is sold for a gain of 7% instead of selling it at a loss of 13%, a trader gets Rs.1080 more. What is the selling price of the article, when the article is sold at a profit of 25%?a)Rs. 6750b)Rs. 3600c)Rs. 5400d)Rs. 4500Correct 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 If an article is sold for a gain of 7% instead of selling it at a loss of 13%, a trader gets Rs.1080 more. What is the selling price of the article, when the article is sold at a profit of 25%?a)Rs. 6750b)Rs. 3600c)Rs. 5400d)Rs. 4500Correct 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 If an article is sold for a gain of 7% instead of selling it at a loss of 13%, a trader gets Rs.1080 more. What is the selling price of the article, when the article is sold at a profit of 25%?a)Rs. 6750b)Rs. 3600c)Rs. 5400d)Rs. 4500Correct answer is option 'A'. Can you explain this answer?.
If an article is sold for a gain of 7% instead of selling it at a loss of 13%, a trader gets Rs.1080 more. What is the selling price of the article, when the article is sold at a profit of 25%?a)Rs. 6750b)Rs. 3600c)Rs. 5400d)Rs. 4500Correct 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 If an article is sold for a gain of 7% instead of selling it at a loss of 13%, a trader gets Rs.1080 more. What is the selling price of the article, when the article is sold at a profit of 25%?a)Rs. 6750b)Rs. 3600c)Rs. 5400d)Rs. 4500Correct 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 If an article is sold for a gain of 7% instead of selling it at a loss of 13%, a trader gets Rs.1080 more. What is the selling price of the article, when the article is sold at a profit of 25%?a)Rs. 6750b)Rs. 3600c)Rs. 5400d)Rs. 4500Correct answer is option 'A'. Can you explain this answer?.
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