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The profit obtained by selling an article for Rs. 856 is twice the loss incurred when the article is sold for Rs. 760. The cost price of the article is?
- a)783
- b)792
- c)801
- d)810
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The profit obtained by selling an article for Rs. 856 is twice the lo...
Let ‘C’ be the cost price of the article.
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⇒ (856 - C) = 2(C - 760)
⇒ 3C = 856 + 1520
⇒ 3C = 2376
⇒ C = 792
∴ The cost price of the article = 792
Most Upvoted Answer
The profit obtained by selling an article for Rs. 856 is twice the lo...
Understanding the Problem
The scenario involves selling an article at two different prices, which leads to a profit in one case and a loss in the other. We need to find the cost price (CP) of the article.
Given Information
- Selling Price (SP1) = Rs. 856 (profit scenario)
- Selling Price (SP2) = Rs. 760 (loss scenario)
Profit and Loss Relationships
- The profit when selling at SP1 is given by:
Profit = SP1 - CP
- The loss when selling at SP2 is given by:
Loss = CP - SP2
- It is stated that the profit from selling at SP1 is twice the loss from selling at SP2:
Profit = 2 × Loss
Setting Up the Equations
1. From the profit equation:
Profit = 856 - CP
2. From the loss equation:
Loss = CP - 760
3. Now substituting the profit and loss into the relationship:
856 - CP = 2 × (CP - 760)
Solving the Equation
- Expand the equation:
856 - CP = 2CP - 1520
- Rearranging gives:
856 + 1520 = 3CP
2376 = 3CP
- Dividing by 3:
CP = 792
Conclusion
The cost price of the article is Rs. 792, which corresponds to option 'B'.
The scenario involves selling an article at two different prices, which leads to a profit in one case and a loss in the other. We need to find the cost price (CP) of the article.
Given Information
- Selling Price (SP1) = Rs. 856 (profit scenario)
- Selling Price (SP2) = Rs. 760 (loss scenario)
Profit and Loss Relationships
- The profit when selling at SP1 is given by:
Profit = SP1 - CP
- The loss when selling at SP2 is given by:
Loss = CP - SP2
- It is stated that the profit from selling at SP1 is twice the loss from selling at SP2:
Profit = 2 × Loss
Setting Up the Equations
1. From the profit equation:
Profit = 856 - CP
2. From the loss equation:
Loss = CP - 760
3. Now substituting the profit and loss into the relationship:
856 - CP = 2 × (CP - 760)
Solving the Equation
- Expand the equation:
856 - CP = 2CP - 1520
- Rearranging gives:
856 + 1520 = 3CP
2376 = 3CP
- Dividing by 3:
CP = 792
Conclusion
The cost price of the article is Rs. 792, which corresponds to option 'B'.
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The profit obtained by selling an article for Rs. 856 is twice the loss incurred when the article is sold for Rs. 760. The cost price of the article is?a)783b)792c)801d)810Correct answer is option 'B'. Can you explain this answer?
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The profit obtained by selling an article for Rs. 856 is twice the loss incurred when the article is sold for Rs. 760. The cost price of the article is?a)783b)792c)801d)810Correct answer is option 'B'. 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 profit obtained by selling an article for Rs. 856 is twice the loss incurred when the article is sold for Rs. 760. The cost price of the article is?a)783b)792c)801d)810Correct answer is option 'B'. 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 profit obtained by selling an article for Rs. 856 is twice the loss incurred when the article is sold for Rs. 760. The cost price of the article is?a)783b)792c)801d)810Correct answer is option 'B'. Can you explain this answer?.
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