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An article is sold for rupees 400 in which the seller fetches 25% profit. If 6 such articles are sold for rupees 2400, then the percent profit/loss incurred by the seller
- a)25% loss
- b)20% profit
- c)25% profit
- d)20% loss
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
An article is sold for rupees 400 in which the seller fetches 25% prof...
400 = (125/100)*CP
CP = 320.
Selling price = 2400/6 = 400.
% profit = [(400 – 320)/320]*100 = 25
CP = 320.
Selling price = 2400/6 = 400.
% profit = [(400 – 320)/320]*100 = 25
Most Upvoted Answer
An article is sold for rupees 400 in which the seller fetches 25% prof...
Solution:
Let's break down the problem step by step:
1. Cost Price (CP) of the article:
The article is sold for rupees 400 and the seller fetches a 25% profit. Therefore, the cost price (CP) of the article can be calculated using the formula:
CP = Selling Price / (1 + Profit %)
CP = 400 / (1 + 25/100)
CP = 400 / (1 + 0.25)
CP = 400 / 1.25
CP = 320 rupees
2. Selling Price (SP) of 6 articles:
The selling price of 6 articles is given as rupees 2400. Therefore, the selling price (SP) of one article can be calculated by dividing the total selling price by the number of articles:
SP of one article = Total Selling Price / Number of Articles
SP of one article = 2400 / 6
SP of one article = 400 rupees
3. Profit or Loss per article:
To find the profit or loss per article, we need to calculate the difference between the selling price (SP) and the cost price (CP) of one article:
Profit or Loss per article = SP - CP
Profit or Loss per article = 400 - 320
Profit or Loss per article = 80 rupees
4. Profit or Loss percentage:
To calculate the profit or loss percentage, we need to calculate the profit or loss per article as a percentage of the cost price (CP) and then multiply it by 100:
Profit or Loss percentage = (Profit or Loss per article / CP) * 100
Profit or Loss percentage = (80 / 320) * 100
Profit or Loss percentage = 25%
Therefore, the answer is option C) 25% profit.
Let's break down the problem step by step:
1. Cost Price (CP) of the article:
The article is sold for rupees 400 and the seller fetches a 25% profit. Therefore, the cost price (CP) of the article can be calculated using the formula:
CP = Selling Price / (1 + Profit %)
CP = 400 / (1 + 25/100)
CP = 400 / (1 + 0.25)
CP = 400 / 1.25
CP = 320 rupees
2. Selling Price (SP) of 6 articles:
The selling price of 6 articles is given as rupees 2400. Therefore, the selling price (SP) of one article can be calculated by dividing the total selling price by the number of articles:
SP of one article = Total Selling Price / Number of Articles
SP of one article = 2400 / 6
SP of one article = 400 rupees
3. Profit or Loss per article:
To find the profit or loss per article, we need to calculate the difference between the selling price (SP) and the cost price (CP) of one article:
Profit or Loss per article = SP - CP
Profit or Loss per article = 400 - 320
Profit or Loss per article = 80 rupees
4. Profit or Loss percentage:
To calculate the profit or loss percentage, we need to calculate the profit or loss per article as a percentage of the cost price (CP) and then multiply it by 100:
Profit or Loss percentage = (Profit or Loss per article / CP) * 100
Profit or Loss percentage = (80 / 320) * 100
Profit or Loss percentage = 25%
Therefore, the answer is option C) 25% profit.
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Community Answer
An article is sold for rupees 400 in which the seller fetches 25% prof...
400 = (125/100)*CP
CP = 320.
Selling price = 2400/6 = 400.
% profit = [(400 – 320)/320]*100 = 25
CP = 320.
Selling price = 2400/6 = 400.
% profit = [(400 – 320)/320]*100 = 25
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An article is sold for rupees 400 in which the seller fetches 25% profit. If 6 such articles are sold for rupees 2400, then the percent profit/loss incurred by the sellera)25% lossb)20% profitc)25% profitd)20% losse)None of theseCorrect answer is option 'C'. Can you explain this answer?
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