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CP of 40 articles is equal to the SP of 30 articles. What is the profit/loss percentage?
- a)25% Profit
- b)33.33% profit
- c)25% loss
- d)33.33% loss
Correct answer is option 'B'. Can you explain this answer?
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CP of 40 articles is equal to the SP of 30 articles. What is the profi...
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CP of 40 articles is equal to the SP of 30 articles. What is the profi...
Given:
- CP of 40 articles = SP of 30 articles
To find:
- Profit/loss percentage
Let's assume the cost price (CP) of each article is $1.
If the CP of 40 articles is $40 (40 x $1), then the SP of 30 articles will also be $40.
Profit Calculation:
- CP of 40 articles = $40
- SP of 30 articles = $40
Profit = SP - CP
Profit = $40 - $40
Profit = $0
Since there is no profit, we can say there is no profit percentage.
Loss Calculation:
- CP of 40 articles = $40
- SP of 30 articles = $40
Loss = CP - SP
Loss = $40 - $40
Loss = $0
Since there is no loss, we can say there is no loss percentage.
Therefore, the answer is neither a profit nor a loss.
However, if we assume the CP and SP values to be different, then we can calculate the profit or loss percentage.
For example, let's assume the CP of 40 articles is $50 and the SP of 30 articles is $60.
Profit Calculation:
- CP of 40 articles = $50
- SP of 30 articles = $60
Profit = SP - CP
Profit = $60 - $50
Profit = $10
Profit Percentage = (Profit / CP) x 100
Profit Percentage = ($10 / $50) x 100
Profit Percentage = 20%
In this case, the profit percentage is 20%. Therefore, the given options do not match the scenario described in the question.
- CP of 40 articles = SP of 30 articles
To find:
- Profit/loss percentage
Let's assume the cost price (CP) of each article is $1.
If the CP of 40 articles is $40 (40 x $1), then the SP of 30 articles will also be $40.
Profit Calculation:
- CP of 40 articles = $40
- SP of 30 articles = $40
Profit = SP - CP
Profit = $40 - $40
Profit = $0
Since there is no profit, we can say there is no profit percentage.
Loss Calculation:
- CP of 40 articles = $40
- SP of 30 articles = $40
Loss = CP - SP
Loss = $40 - $40
Loss = $0
Since there is no loss, we can say there is no loss percentage.
Therefore, the answer is neither a profit nor a loss.
However, if we assume the CP and SP values to be different, then we can calculate the profit or loss percentage.
For example, let's assume the CP of 40 articles is $50 and the SP of 30 articles is $60.
Profit Calculation:
- CP of 40 articles = $50
- SP of 30 articles = $60
Profit = SP - CP
Profit = $60 - $50
Profit = $10
Profit Percentage = (Profit / CP) x 100
Profit Percentage = ($10 / $50) x 100
Profit Percentage = 20%
In this case, the profit percentage is 20%. Therefore, the given options do not match the scenario described in the question.
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