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A man gains 50% by selling an article at a certain price. If he sells the article at half the price, then what is the loss percentage?
- a)25
- b)50
- c)75
- d)37.5
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A man gains 50% by selling an article at a certain price. If he sells ...
Let the cost price of an article be Rs. x
Gain = 50%
S.P = C.P + Gain
⇒ S.P = x + 50x/100 = 150x/100 = 3x/2
If he sells the article at half the price, the selling price will be
S.P = 3x/4
Loss%
Gain = 50%
S.P = C.P + Gain
⇒ S.P = x + 50x/100 = 150x/100 = 3x/2
If he sells the article at half the price, the selling price will be
S.P = 3x/4
Loss%
Most Upvoted Answer
A man gains 50% by selling an article at a certain price. If he sells ...
Question:
A man gains 50% by selling an article at a certain price. If he sells the article at half the price, then what is the loss percentage?
Answer:
To find the loss percentage, we need to compare the selling price at which the man sells the article with the cost price of the article. Let's break down the problem into steps:
Step 1:
Let's assume the cost price of the article is 'x' (any value can be taken for this assumption).
Step 2:
The man gains 50% by selling the article at a certain price. This means he sells the article for 1.5 times the cost price.
Selling price = 1.5 * x
Step 3:
If the man sells the article at half the price, the selling price becomes:
Selling price = 0.5 * (1.5 * x) = 0.75 * x
Step 4:
Now, let's calculate the loss percentage:
Loss = Cost Price - Selling Price
Since the cost price is 'x' and the selling price is 0.75 * x, the loss is:
Loss = x - 0.75 * x = 0.25 * x
Step 5:
To find the loss percentage, we need to divide the loss by the cost price and multiply by 100:
Loss percentage = (Loss / Cost Price) * 100
Substituting the values, we get:
Loss percentage = (0.25 * x / x) * 100 = 25%
Therefore, the loss percentage is 25% (option A).
Conclusion:
When the man sells the article at half the price, he incurs a loss of 25%.
A man gains 50% by selling an article at a certain price. If he sells the article at half the price, then what is the loss percentage?
Answer:
To find the loss percentage, we need to compare the selling price at which the man sells the article with the cost price of the article. Let's break down the problem into steps:
Step 1:
Let's assume the cost price of the article is 'x' (any value can be taken for this assumption).
Step 2:
The man gains 50% by selling the article at a certain price. This means he sells the article for 1.5 times the cost price.
Selling price = 1.5 * x
Step 3:
If the man sells the article at half the price, the selling price becomes:
Selling price = 0.5 * (1.5 * x) = 0.75 * x
Step 4:
Now, let's calculate the loss percentage:
Loss = Cost Price - Selling Price
Since the cost price is 'x' and the selling price is 0.75 * x, the loss is:
Loss = x - 0.75 * x = 0.25 * x
Step 5:
To find the loss percentage, we need to divide the loss by the cost price and multiply by 100:
Loss percentage = (Loss / Cost Price) * 100
Substituting the values, we get:
Loss percentage = (0.25 * x / x) * 100 = 25%
Therefore, the loss percentage is 25% (option A).
Conclusion:
When the man sells the article at half the price, he incurs a loss of 25%.
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