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A man buys 2 different articles for Rs. 4,800. He sells one at 10% loss and the other at 10% gain. If in the whole process he neither gained nor lost, at what price did he sell the one that he sold at profit?
- a)Rs. 2,400
- b)Rs. 2,560
- c)Rs. 2,640
- d)Rs. 2,800
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A man buys 2 different articles for Rs. 4,800. He sells one at 10% los...
CP → Sold at 10% profit : Sold at 10% loss = 10% : 10% = 1 : 1
CP of that he sold at profit
Hence, Option C is correct.
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Community Answer
A man buys 2 different articles for Rs. 4,800. He sells one at 10% los...
Understanding the Problem
A man purchases two articles for a total of Rs. 4,800. He sells one at a 10% loss and the other at a 10% gain, resulting in no overall profit or loss.
Calculating Costs
Let the cost price of the first article be Rs. x and the second article be Rs. (4800 - x).
Selling Price of First Article
- Selling Price (SP) at 10% loss:
- SP of first article = x - 10% of x = x - 0.1x = 0.9x
Selling Price of Second Article
- Selling Price (SP) at 10% gain:
- SP of second article = (4800 - x) + 10% of (4800 - x)
- SP of second article = (4800 - x) + 0.1(4800 - x) = (4800 - x) + 480 - 0.1x = 0.9(4800 - x) + 480
Setting Up the Equation
Since there is no overall gain or loss, the total selling price equals the total cost price:
SP of first article + SP of second article = Total cost price
0.9x + (0.9(4800 - x) + 480) = 4800
Simplifying the Equation
- Expand and combine like terms:
- 0.9x + 4320 - 0.9x + 480 = 4800
- 4800 = 4800 (This confirms our equation is correct)
Finding Selling Price of the Article Sold at Profit
To find the selling price of the article sold at profit:
1. Calculate x:
- Assume x = cost price of the first article.
- Since one article sells at a loss, the other must balance it out.
- Since the two selling prices are equal, we can derive values.
2. For instance, if x = 2400, then the second article's cost price = 2400.
- SP of first article = 0.9 * 2400 = 2160
- SP of second article = 0.1 * 2400 + 2400 = 2640
The selling price of the second article (sold at gain) is Rs. 2640.
Final Answer
Hence, the price at which he sold the article that he sold at profit is Rs. 2,640.
A man purchases two articles for a total of Rs. 4,800. He sells one at a 10% loss and the other at a 10% gain, resulting in no overall profit or loss.
Calculating Costs
Let the cost price of the first article be Rs. x and the second article be Rs. (4800 - x).
Selling Price of First Article
- Selling Price (SP) at 10% loss:
- SP of first article = x - 10% of x = x - 0.1x = 0.9x
Selling Price of Second Article
- Selling Price (SP) at 10% gain:
- SP of second article = (4800 - x) + 10% of (4800 - x)
- SP of second article = (4800 - x) + 0.1(4800 - x) = (4800 - x) + 480 - 0.1x = 0.9(4800 - x) + 480
Setting Up the Equation
Since there is no overall gain or loss, the total selling price equals the total cost price:
SP of first article + SP of second article = Total cost price
0.9x + (0.9(4800 - x) + 480) = 4800
Simplifying the Equation
- Expand and combine like terms:
- 0.9x + 4320 - 0.9x + 480 = 4800
- 4800 = 4800 (This confirms our equation is correct)
Finding Selling Price of the Article Sold at Profit
To find the selling price of the article sold at profit:
1. Calculate x:
- Assume x = cost price of the first article.
- Since one article sells at a loss, the other must balance it out.
- Since the two selling prices are equal, we can derive values.
2. For instance, if x = 2400, then the second article's cost price = 2400.
- SP of first article = 0.9 * 2400 = 2160
- SP of second article = 0.1 * 2400 + 2400 = 2640
The selling price of the second article (sold at gain) is Rs. 2640.
Final Answer
Hence, the price at which he sold the article that he sold at profit is Rs. 2,640.
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A man buys 2 different articles for Rs. 4,800. He sells one at 10% loss and the other at 10% gain. If in the whole process he neither gained nor lost, at what price did he sell the one that he sold at profit?a)Rs. 2,400b)Rs. 2,560c)Rs. 2,640d)Rs. 2,800Correct answer is option 'C'. Can you explain this answer? for SSC CGL 2025 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about A man buys 2 different articles for Rs. 4,800. He sells one at 10% loss and the other at 10% gain. If in the whole process he neither gained nor lost, at what price did he sell the one that he sold at profit?a)Rs. 2,400b)Rs. 2,560c)Rs. 2,640d)Rs. 2,800Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC CGL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man buys 2 different articles for Rs. 4,800. He sells one at 10% loss and the other at 10% gain. If in the whole process he neither gained nor lost, at what price did he sell the one that he sold at profit?a)Rs. 2,400b)Rs. 2,560c)Rs. 2,640d)Rs. 2,800Correct answer is option 'C'. Can you explain this answer?.
A man buys 2 different articles for Rs. 4,800. He sells one at 10% loss and the other at 10% gain. If in the whole process he neither gained nor lost, at what price did he sell the one that he sold at profit?a)Rs. 2,400b)Rs. 2,560c)Rs. 2,640d)Rs. 2,800Correct answer is option 'C'. Can you explain this answer? for SSC CGL 2025 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about A man buys 2 different articles for Rs. 4,800. He sells one at 10% loss and the other at 10% gain. If in the whole process he neither gained nor lost, at what price did he sell the one that he sold at profit?a)Rs. 2,400b)Rs. 2,560c)Rs. 2,640d)Rs. 2,800Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC CGL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man buys 2 different articles for Rs. 4,800. He sells one at 10% loss and the other at 10% gain. If in the whole process he neither gained nor lost, at what price did he sell the one that he sold at profit?a)Rs. 2,400b)Rs. 2,560c)Rs. 2,640d)Rs. 2,800Correct answer is option 'C'. Can you explain this answer?.
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A man buys 2 different articles for Rs. 4,800. He sells one at 10% loss and the other at 10% gain. If in the whole process he neither gained nor lost, at what price did he sell the one that he sold at profit?a)Rs. 2,400b)Rs. 2,560c)Rs. 2,640d)Rs. 2,800Correct answer is option 'C'. Can you explain this answer?, a detailed solution for A man buys 2 different articles for Rs. 4,800. He sells one at 10% loss and the other at 10% gain. If in the whole process he neither gained nor lost, at what price did he sell the one that he sold at profit?a)Rs. 2,400b)Rs. 2,560c)Rs. 2,640d)Rs. 2,800Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of A man buys 2 different articles for Rs. 4,800. He sells one at 10% loss and the other at 10% gain. If in the whole process he neither gained nor lost, at what price did he sell the one that he sold at profit?a)Rs. 2,400b)Rs. 2,560c)Rs. 2,640d)Rs. 2,800Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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