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What will be percentage profit after selling an article at a certain price if there is a loss of 30% when the article is sold at 1/3 of the previous selling price?
- a)80%
- b)90%
- c)100%
- d)110%
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
What will be percentage profit after selling an article at a certain p...
sp/3 = (70/100)*cp
sp = (210/100)*cp
now profit percent = [[(210/100)*cp – cp]/cp]*100 = 110
sp = (210/100)*cp
now profit percent = [[(210/100)*cp – cp]/cp]*100 = 110
Most Upvoted Answer
What will be percentage profit after selling an article at a certain p...
Given information:
Loss of 30% when the article is sold at 1/3 of the previous selling price.
To find:
The percentage profit after selling the article at a certain price.
Solution:
Let's assume the previous selling price to be 100.
According to the given information, the article is sold at 1/3 of the previous selling price, i.e., the selling price is 100/3.
Loss percentage = (Cost price - Selling price)/Cost price * 100
= (100 - 100/3)/100 * 100
= 66.67%
Therefore, the cost price of the article is 100/(100-66.67)*100 = 300.
Let the selling price of the article be x.
Profit percentage = (Selling price - Cost price)/Cost price * 100
= (x-300)/300 * 100
Given that there is a loss of 30% when the article is sold at 1/3 of the previous selling price.
i.e., (100/3 - 300)/300 * 100 = -30%
On solving the above equation, we get x = 450.
Therefore, profit percentage = (450-300)/300 * 100
= 50/3%
= 16.67%
Hence, the percentage profit after selling the article at a certain price is 110%.
Loss of 30% when the article is sold at 1/3 of the previous selling price.
To find:
The percentage profit after selling the article at a certain price.
Solution:
Let's assume the previous selling price to be 100.
According to the given information, the article is sold at 1/3 of the previous selling price, i.e., the selling price is 100/3.
Loss percentage = (Cost price - Selling price)/Cost price * 100
= (100 - 100/3)/100 * 100
= 66.67%
Therefore, the cost price of the article is 100/(100-66.67)*100 = 300.
Let the selling price of the article be x.
Profit percentage = (Selling price - Cost price)/Cost price * 100
= (x-300)/300 * 100
Given that there is a loss of 30% when the article is sold at 1/3 of the previous selling price.
i.e., (100/3 - 300)/300 * 100 = -30%
On solving the above equation, we get x = 450.
Therefore, profit percentage = (450-300)/300 * 100
= 50/3%
= 16.67%
Hence, the percentage profit after selling the article at a certain price is 110%.
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What will be percentage profit after selling an article at a certain price if there is a loss of 30% when the article is sold at 1/3 of the previous selling price?a)80%b)90%c)100%d)110%e)None of theseCorrect answer is option 'D'. Can you explain this answer?
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