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A man gains 10% by selling an article for certain price. If the man sells the article at double the price, find his gain percentage?
- a)20%
- b)120%
- c)140%
- d)100%
- e)80%
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A man gains 10% by selling an article for certain price. If the man s...
Solution:
To solve this problem, let's assume the original selling price of the article is x.
According to the question, the man gains 10% by selling the article at the original price. This means that the selling price is 110% of the cost price.
So, the selling price of the article is 1.1x.
Now, if the man sells the article at double the price, the selling price would be 2x.
Calculating the Gain Percentage:
To find the gain percentage, we need to calculate the difference between the selling price and the cost price, and then express it as a percentage of the cost price.
Gain = Selling Price - Cost Price
Cost Price = x
Selling Price = 2x
Gain = 2x - x = x
Now, let's calculate the gain percentage:
Gain Percentage = (Gain / Cost Price) * 100%
Substituting the values:
Gain Percentage = (x / x) * 100%
Gain Percentage = 100%
Therefore, the man's gain percentage when he sells the article at double the price is 100%.
Explanation:
When the man sells the article at double the price, he is essentially selling it for 2x. Since the cost price is x, the gain made by the man is x.
To calculate the gain percentage, we divide the gain (x) by the cost price (x) and multiply by 100%. This gives us 100%, which is the correct answer (option B).
To solve this problem, let's assume the original selling price of the article is x.
According to the question, the man gains 10% by selling the article at the original price. This means that the selling price is 110% of the cost price.
So, the selling price of the article is 1.1x.
Now, if the man sells the article at double the price, the selling price would be 2x.
Calculating the Gain Percentage:
To find the gain percentage, we need to calculate the difference between the selling price and the cost price, and then express it as a percentage of the cost price.
Gain = Selling Price - Cost Price
Cost Price = x
Selling Price = 2x
Gain = 2x - x = x
Now, let's calculate the gain percentage:
Gain Percentage = (Gain / Cost Price) * 100%
Substituting the values:
Gain Percentage = (x / x) * 100%
Gain Percentage = 100%
Therefore, the man's gain percentage when he sells the article at double the price is 100%.
Explanation:
When the man sells the article at double the price, he is essentially selling it for 2x. Since the cost price is x, the gain made by the man is x.
To calculate the gain percentage, we divide the gain (x) by the cost price (x) and multiply by 100%. This gives us 100%, which is the correct answer (option B).
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Community Answer
A man gains 10% by selling an article for certain price. If the man s...
Let the CP = 100
Gain% = 10%
(x-100)/100 = 0.1
x = 100+10 = 110
New SP = 110×2 = 220
Gain % = (220-100)/100×100 = 120%
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A man gains 10% by selling an article for certain price. If the man sells the article at double the price, find his gain percentage?a)20%b)120%c)140%d)100%e)80%Correct answer is option 'B'. Can you explain this answer?
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