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The percentage of loss when an article is sold at Rs. 80 is the same as that of the profit when it is sold at Rs. 110. What is the percentage profit or loss on the article?
- a)5%
- b)12.4%
- c)15.8%
- d)20.5%
Correct answer is option 'C'. Can you explain this answer?
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Given:
The article is sold at Rs. 80 and Rs. 110.
The percentage of loss when sold at Rs. 80 is the same as the percentage of profit when sold at Rs. 110.
To find:
The percentage profit or loss on the article.
Solution:
Let's assume the cost price of the article to be 'C'.
When the article is sold at Rs. 80, the loss percentage can be calculated as follows:
Loss = Cost Price - Selling Price = C - 80
Loss Percentage = (Loss / Cost Price) * 100 = ((C - 80) / C) * 100
When the article is sold at Rs. 110, the profit percentage can be calculated as follows:
Profit = Selling Price - Cost Price = 110 - C
Profit Percentage = (Profit / Cost Price) * 100 = ((110 - C) / C) * 100
According to the given information, the loss percentage when sold at Rs. 80 is equal to the profit percentage when sold at Rs. 110. Mathematically, we can write this as:
((C - 80) / C) * 100 = ((110 - C) / C) * 100
Simplifying the equation:
Cross-multiplying, we get:
(C - 80) * C = (110 - C) * C
Expanding the equation:
C^2 - 80C = 110C - C^2
Combining like terms:
2C^2 - 190C = 0
Factorizing the equation:
C(2C - 190) = 0
Setting each factor equal to zero:
C = 0 or 2C - 190 = 0
Since the cost price cannot be zero, we ignore C = 0 and solve for 2C - 190 = 0:
2C = 190
C = 95
Calculating the profit or loss percentage:
Now that we have the cost price (C = 95), we can substitute it into the profit and loss percentage formulas.
Loss percentage when sold at Rs. 80:
Loss Percentage = ((C - 80) / C) * 100 = ((95 - 80) / 95) * 100 = (15 / 95) * 100 = 15.78%
Profit percentage when sold at Rs. 110:
Profit Percentage = ((110 - C) / C) * 100 = ((110 - 95) / 95) * 100 = (15 / 95) * 100 = 15.78%
Therefore, the percentage profit or loss on the article is 15.78%.
Hence, the correct answer is option C) 15.8%.
The article is sold at Rs. 80 and Rs. 110.
The percentage of loss when sold at Rs. 80 is the same as the percentage of profit when sold at Rs. 110.
To find:
The percentage profit or loss on the article.
Solution:
Let's assume the cost price of the article to be 'C'.
When the article is sold at Rs. 80, the loss percentage can be calculated as follows:
Loss = Cost Price - Selling Price = C - 80
Loss Percentage = (Loss / Cost Price) * 100 = ((C - 80) / C) * 100
When the article is sold at Rs. 110, the profit percentage can be calculated as follows:
Profit = Selling Price - Cost Price = 110 - C
Profit Percentage = (Profit / Cost Price) * 100 = ((110 - C) / C) * 100
According to the given information, the loss percentage when sold at Rs. 80 is equal to the profit percentage when sold at Rs. 110. Mathematically, we can write this as:
((C - 80) / C) * 100 = ((110 - C) / C) * 100
Simplifying the equation:
Cross-multiplying, we get:
(C - 80) * C = (110 - C) * C
Expanding the equation:
C^2 - 80C = 110C - C^2
Combining like terms:
2C^2 - 190C = 0
Factorizing the equation:
C(2C - 190) = 0
Setting each factor equal to zero:
C = 0 or 2C - 190 = 0
Since the cost price cannot be zero, we ignore C = 0 and solve for 2C - 190 = 0:
2C = 190
C = 95
Calculating the profit or loss percentage:
Now that we have the cost price (C = 95), we can substitute it into the profit and loss percentage formulas.
Loss percentage when sold at Rs. 80:
Loss Percentage = ((C - 80) / C) * 100 = ((95 - 80) / 95) * 100 = (15 / 95) * 100 = 15.78%
Profit percentage when sold at Rs. 110:
Profit Percentage = ((110 - C) / C) * 100 = ((110 - 95) / 95) * 100 = (15 / 95) * 100 = 15.78%
Therefore, the percentage profit or loss on the article is 15.78%.
Hence, the correct answer is option C) 15.8%.
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The percentage of loss when an article is sold at Rs. 80 is the same as that of the profit when it is sold at Rs. 110. What is the percentage profit or loss on the article?a)5%b)12.4%c)15.8%d)20.5%Correct answer is option 'C'. Can you explain this answer?
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The percentage of loss when an article is sold at Rs. 80 is the same as that of the profit when it is sold at Rs. 110. What is the percentage profit or loss on the article?a)5%b)12.4%c)15.8%d)20.5%Correct answer is option 'C'. 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 The percentage of loss when an article is sold at Rs. 80 is the same as that of the profit when it is sold at Rs. 110. What is the percentage profit or loss on the article?a)5%b)12.4%c)15.8%d)20.5%Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The percentage of loss when an article is sold at Rs. 80 is the same as that of the profit when it is sold at Rs. 110. What is the percentage profit or loss on the article?a)5%b)12.4%c)15.8%d)20.5%Correct answer is option 'C'. Can you explain this answer?.
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