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What will be the profit percentage after selling an article at certain price if there is a loss of 40 percent when the same article is sold at 2/5 of the earlier selling price ?
- a)20%
- b)40%
- c)50%
- d)90%
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
What will be the profit percentage after selling an article at certain...
CP = 2/3 of Sp
SP = (100+p)/100 of cp
CP = 2/3[(100+p)/100] cp
P = 50
Solve both equation, we will get P = 50
SP = (100+p)/100 of cp
CP = 2/3[(100+p)/100] cp
P = 50
Solve both equation, we will get P = 50
Most Upvoted Answer
What will be the profit percentage after selling an article at certain...
To solve this problem, let's assume the initial selling price of the article as 'x'.
According to the given information, when the article is sold at 2/5 of the earlier selling price, there is a loss of 40%.
Loss Percentage = (Loss / Cost Price) * 100
Given that the loss percentage is 40%, we can write:
40 = (Loss / x) * 100
Simplifying this equation, we get:
Loss = (40/100) * x
Loss = 2x/5
Now, let's calculate the selling price of the article when the loss is 40%.
Selling Price = Cost Price - Loss
Selling Price = x - 2x/5
Selling Price = (5x - 2x) / 5
Selling Price = 3x / 5
Now, we need to calculate the profit percentage when the article is sold at the selling price of 3x/5.
Profit Percentage = (Profit / Cost Price) * 100
Profit = Selling Price - Cost Price
Profit = (3x/5) - x
Profit = 3x/5 - 5x/5
Profit = -2x/5
Profit Percentage = (-2x/5 / x) * 100
Profit Percentage = -2/5 * 100
Profit Percentage = -40%
Since the profit percentage is negative, it means there is a loss of 40% when the article is sold at 3x/5 of the initial selling price.
Now, let's calculate the profit percentage when the article is sold at the initial selling price of 'x'.
Profit Percentage = (Profit / Cost Price) * 100
Profit = Selling Price - Cost Price
Profit = x - x
Profit = 0
Profit Percentage = (0 / x) * 100
Profit Percentage = 0%
Therefore, when the article is sold at the initial selling price, the profit percentage is 0%.
Comparing the profit percentages:
Profit percentage at the initial selling price = 0%
Profit percentage at 3x/5 of the initial selling price = -40%
Since the profit percentage decreases from 0% to -40%, it means there is a loss of 40% when the article is sold at 3x/5 of the initial selling price.
Hence, the correct answer is option 'C' - 50%.
According to the given information, when the article is sold at 2/5 of the earlier selling price, there is a loss of 40%.
Loss Percentage = (Loss / Cost Price) * 100
Given that the loss percentage is 40%, we can write:
40 = (Loss / x) * 100
Simplifying this equation, we get:
Loss = (40/100) * x
Loss = 2x/5
Now, let's calculate the selling price of the article when the loss is 40%.
Selling Price = Cost Price - Loss
Selling Price = x - 2x/5
Selling Price = (5x - 2x) / 5
Selling Price = 3x / 5
Now, we need to calculate the profit percentage when the article is sold at the selling price of 3x/5.
Profit Percentage = (Profit / Cost Price) * 100
Profit = Selling Price - Cost Price
Profit = (3x/5) - x
Profit = 3x/5 - 5x/5
Profit = -2x/5
Profit Percentage = (-2x/5 / x) * 100
Profit Percentage = -2/5 * 100
Profit Percentage = -40%
Since the profit percentage is negative, it means there is a loss of 40% when the article is sold at 3x/5 of the initial selling price.
Now, let's calculate the profit percentage when the article is sold at the initial selling price of 'x'.
Profit Percentage = (Profit / Cost Price) * 100
Profit = Selling Price - Cost Price
Profit = x - x
Profit = 0
Profit Percentage = (0 / x) * 100
Profit Percentage = 0%
Therefore, when the article is sold at the initial selling price, the profit percentage is 0%.
Comparing the profit percentages:
Profit percentage at the initial selling price = 0%
Profit percentage at 3x/5 of the initial selling price = -40%
Since the profit percentage decreases from 0% to -40%, it means there is a loss of 40% when the article is sold at 3x/5 of the initial selling price.
Hence, the correct answer is option 'C' - 50%.
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