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A shopkeeper sold an article for Rs. 2,250 and made a profit of 25%. Find his profit/loss percent if he had sold his article for Rs. 1,000.
- a)30
- b)33.33
- c)37.50
- d)44.44
Correct answer is option 'D'. Can you explain this answer?
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A shopkeeper sold an article for Rs. 2,250 and made a profit of 25%. F...
Hence, Option D is correct.
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A shopkeeper sold an article for Rs. 2,250 and made a profit of 25%. F...
Understanding the Initial Sale
The shopkeeper sold an article for Rs. 2,250 with a profit of 25%. To find the cost price (CP), we can use the formula:
- Selling Price (SP) = Cost Price (CP) + Profit
- Profit = (Profit Percentage/100) * CP
Since the profit is 25%, we can express it as:
- SP = CP + (25/100) * CP = (125/100) * CP
Now, substituting the known SP:
- 2,250 = (125/100) * CP
To find CP:
- CP = 2,250 * (100/125)
- CP = 2,250 * 0.8 = Rs. 1,800
Calculating New Selling Price
Now, let's determine the scenario where the article is sold for Rs. 1,000. We need to find the profit or loss percentage in this case.
Finding Profit/Loss
- Selling Price (SP) = Rs. 1,000
- Cost Price (CP) = Rs. 1,800
To find the loss:
- Loss = CP - SP = 1,800 - 1,000 = Rs. 800
Calculating Loss Percentage
Now we calculate the loss percentage using the formula:
- Loss Percentage = (Loss/CP) * 100
Substituting the values:
- Loss Percentage = (800/1,800) * 100
- Loss Percentage = 44.44%
Conclusion
If the shopkeeper sold the article for Rs. 1,000, he would incur a loss of 44.44%. Thus, the correct answer is option 'D'.
The shopkeeper sold an article for Rs. 2,250 with a profit of 25%. To find the cost price (CP), we can use the formula:
- Selling Price (SP) = Cost Price (CP) + Profit
- Profit = (Profit Percentage/100) * CP
Since the profit is 25%, we can express it as:
- SP = CP + (25/100) * CP = (125/100) * CP
Now, substituting the known SP:
- 2,250 = (125/100) * CP
To find CP:
- CP = 2,250 * (100/125)
- CP = 2,250 * 0.8 = Rs. 1,800
Calculating New Selling Price
Now, let's determine the scenario where the article is sold for Rs. 1,000. We need to find the profit or loss percentage in this case.
Finding Profit/Loss
- Selling Price (SP) = Rs. 1,000
- Cost Price (CP) = Rs. 1,800
To find the loss:
- Loss = CP - SP = 1,800 - 1,000 = Rs. 800
Calculating Loss Percentage
Now we calculate the loss percentage using the formula:
- Loss Percentage = (Loss/CP) * 100
Substituting the values:
- Loss Percentage = (800/1,800) * 100
- Loss Percentage = 44.44%
Conclusion
If the shopkeeper sold the article for Rs. 1,000, he would incur a loss of 44.44%. Thus, the correct answer is option 'D'.
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A shopkeeper sold an article for Rs. 2,250 and made a profit of 25%. Find his profit/loss percent if he had sold his article for Rs. 1,000.a)30b)33.33c)37.50d)44.44Correct answer is option 'D'. Can you explain this answer?
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A shopkeeper sold an article for Rs. 2,250 and made a profit of 25%. Find his profit/loss percent if he had sold his article for Rs. 1,000.a)30b)33.33c)37.50d)44.44Correct answer is option 'D'. Can you explain this answer? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about A shopkeeper sold an article for Rs. 2,250 and made a profit of 25%. Find his profit/loss percent if he had sold his article for Rs. 1,000.a)30b)33.33c)37.50d)44.44Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A shopkeeper sold an article for Rs. 2,250 and made a profit of 25%. Find his profit/loss percent if he had sold his article for Rs. 1,000.a)30b)33.33c)37.50d)44.44Correct answer is option 'D'. Can you explain this answer?.
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