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The profit percentage by way of selling an article for Rs. 180 is the same as the loss percentage by selling it for Rs. 120. How much is the profit or loss percentage?
- a)12
- b)16
- c)15
- d)20
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The profit percentage by way of selling an article for Rs. 180 is the ...
Let the cost price of the article be Rs. x, then
According to the question,
180 – x = x – 120
⇒ x + x = 180 + 120
⇒ 2x = 300
⇒ x = (300/2) = 150
Cost Price of the article = Rs. 150
Profit = 180 – 150 = 30
Profit percentage = (30/150) x 100 = 20%
According to the question,
180 – x = x – 120
⇒ x + x = 180 + 120
⇒ 2x = 300
⇒ x = (300/2) = 150
Cost Price of the article = Rs. 150
Profit = 180 – 150 = 30
Profit percentage = (30/150) x 100 = 20%
Most Upvoted Answer
The profit percentage by way of selling an article for Rs. 180 is the ...
Given Information:
- Selling price when sold for Rs. 180 = Rs. 180
- Selling price when sold for Rs. 120 = Rs. 120
Calculating Profit Percentage:
Let the cost price of the article be Rs. x.
- Profit = Selling Price - Cost Price
- Profit percentage = (Profit / Cost Price) * 100
Given, selling price = Rs. 180
- Profit = 180 - x
- Profit percentage = ((180 - x) / x) * 100
Calculating Loss Percentage:
Given, selling price = Rs. 120
- Loss = Cost Price - Selling Price
- Loss percentage = (Loss / Cost Price) * 100
- Loss = x - 120
- Loss percentage = ((x - 120) / x) * 100
Equating Profit Percentage and Loss Percentage:
((180 - x) / x) * 100 = ((x - 120) / x) * 100
Solving this equation, we get:
180 - x = x - 120
2x = 300
x = 150
Calculating Profit or Loss Percentage:
When the cost price is Rs. 150:
- Profit = 180 - 150 = Rs. 30
- Profit percentage = (30 / 150) * 100 = 20%
- Loss = 150 - 120 = Rs. 30
- Loss percentage = (30 / 150) * 100 = 20%
Therefore, the profit or loss percentage is 20%. Hence, the correct answer is option 'D'.
- Selling price when sold for Rs. 180 = Rs. 180
- Selling price when sold for Rs. 120 = Rs. 120
Calculating Profit Percentage:
Let the cost price of the article be Rs. x.
- Profit = Selling Price - Cost Price
- Profit percentage = (Profit / Cost Price) * 100
Given, selling price = Rs. 180
- Profit = 180 - x
- Profit percentage = ((180 - x) / x) * 100
Calculating Loss Percentage:
Given, selling price = Rs. 120
- Loss = Cost Price - Selling Price
- Loss percentage = (Loss / Cost Price) * 100
- Loss = x - 120
- Loss percentage = ((x - 120) / x) * 100
Equating Profit Percentage and Loss Percentage:
((180 - x) / x) * 100 = ((x - 120) / x) * 100
Solving this equation, we get:
180 - x = x - 120
2x = 300
x = 150
Calculating Profit or Loss Percentage:
When the cost price is Rs. 150:
- Profit = 180 - 150 = Rs. 30
- Profit percentage = (30 / 150) * 100 = 20%
- Loss = 150 - 120 = Rs. 30
- Loss percentage = (30 / 150) * 100 = 20%
Therefore, the profit or loss percentage is 20%. Hence, the correct answer is option 'D'.
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Community Answer
The profit percentage by way of selling an article for Rs. 180 is the ...
Let the cost price of the article be Rs. x, then
According to the question,
180 – x = x – 120
⇒ x + x = 180 + 120
⇒ 2x = 300
⇒ x = (300/2) = 150
Cost Price of the article = Rs. 150
Profit = 180 – 150 = 30
Profit percentage = (30/150) x 100 = 20%
According to the question,
180 – x = x – 120
⇒ x + x = 180 + 120
⇒ 2x = 300
⇒ x = (300/2) = 150
Cost Price of the article = Rs. 150
Profit = 180 – 150 = 30
Profit percentage = (30/150) x 100 = 20%
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The profit percentage by way of selling an article for Rs. 180 is the same as the loss percentage by selling it for Rs. 120. How much is the profit or loss percentage?a)12b)16c)15d)20Correct answer is option 'D'. Can you explain this answer?
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