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X sells two articles for ₹ 4,000 each with no loss and no gain in the interaction. If one was sold at a gain of 25% the other is sold at a loss of (SSC CGL 1st Sit. 2011)
- a)25%
- b)18(2/9)%
- c)16(2/3)%
- d)20%
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
X sells two articles for 4,000 each with no loss and no gain in the i...
Calculation:
To solve this problem, we can use the concept of weighted average.
Given:
- X sells two articles for 4,000 each with no loss and no gain.
- One article is sold at a gain of 25%.
Let's assume:
- Cost price of the first article = CP
- Cost price of the second article = CP
Calculation for the first article sold at a gain of 25%:
- Selling price of the first article = 4,000
- Gain = 25%
- Cost price of the first article = 4,000 / (1 + 25/100) = 3200
Calculation for the second article:
- Let the loss percentage be x%
- Selling price of the second article = 4,000
- Cost price of the second article = 4,000 / (1 - x/100)
Using the concept of weighted average:
- (3200 + 4000 / (1 - x/100)) / 2 = 4000
- Solving this equation, we get x = 1/6 = 16(2/3)%
Therefore, the second article is sold at a loss of 16(2/3)%. Hence, the correct answer is option 'C'.
To solve this problem, we can use the concept of weighted average.
Given:
- X sells two articles for 4,000 each with no loss and no gain.
- One article is sold at a gain of 25%.
Let's assume:
- Cost price of the first article = CP
- Cost price of the second article = CP
Calculation for the first article sold at a gain of 25%:
- Selling price of the first article = 4,000
- Gain = 25%
- Cost price of the first article = 4,000 / (1 + 25/100) = 3200
Calculation for the second article:
- Let the loss percentage be x%
- Selling price of the second article = 4,000
- Cost price of the second article = 4,000 / (1 - x/100)
Using the concept of weighted average:
- (3200 + 4000 / (1 - x/100)) / 2 = 4000
- Solving this equation, we get x = 1/6 = 16(2/3)%
Therefore, the second article is sold at a loss of 16(2/3)%. Hence, the correct answer is option 'C'.
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Community Answer
X sells two articles for 4,000 each with no loss and no gain in the i...
Cost price of first article 
Total cost price of both articles = Total selling price of both articles = 4000 + 4000 = 8000
Cost price of second articles = 8000 – 3200 = 4800
Selling price of second articles = 4000
Loss on second articles = 4800 – 4000 = 800
Required % =
Total cost price of both articles = Total selling price of both articles = 4000 + 4000 = 8000
Cost price of second articles = 8000 – 3200 = 4800
Selling price of second articles = 4000
Loss on second articles = 4800 – 4000 = 800
Required % =
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X sells two articles for 4,000 each with no loss and no gain in the interaction. If one was sold at a gain of 25% the other is sold at a loss of (SSC CGL 1st Sit. 2011)a)25%b)18(2/9)%c)16(2/3)%d)20%Correct answer is option 'C'. Can you explain this answer?
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