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The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?
- a)Rs. 2000
- b)Rs. 2200
- c)Rs. 2400
- d)Data inadequate
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The percentage profit earned by selling an article for Rs. 1920 is equ...
Let the profit % = x = Loss %
CP = 1920 * 100/(100+x) = 1280 * 100/(100-x)
X = 20
CP = 1600
SP = 1600 * 125/100 = 2000
Most Upvoted Answer
The percentage profit earned by selling an article for Rs. 1920 is equ...
Given information:
- The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280.
To find:
- The price at which the article should be sold to make a 25% profit.
Let's assume the cost price of the article is 'C' rupees.
Calculation:
1. Percentage Profit when selling for Rs. 1920:
- Selling Price = Rs. 1920
- Profit = Selling Price - Cost Price = 1920 - C
- Percentage Profit = (Profit / Cost Price) * 100 = (1920 - C) / C * 100
2. Percentage Loss when selling for Rs. 1280:
- Selling Price = Rs. 1280
- Loss = Cost Price - Selling Price = C - 1280
- Percentage Loss = (Loss / Cost Price) * 100 = (C - 1280) / C * 100
According to the given information, the above two percentages are equal:
(1920 - C) / C * 100 = (C - 1280) / C * 100
Simplifying the equation:
1920 - C = C - 1280
2C = 1920 + 1280
2C = 3200
C = 3200 / 2
C = 1600
Therefore, the cost price of the article is Rs. 1600.
To calculate the selling price to make a 25% profit:
Profit = 25% of Cost Price = (25/100) * 1600 = 400
Selling Price = Cost Price + Profit = 1600 + 400 = 2000
Hence, the article should be sold for Rs. 2000 to make a 25% profit.
- The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280.
To find:
- The price at which the article should be sold to make a 25% profit.
Let's assume the cost price of the article is 'C' rupees.
Calculation:
1. Percentage Profit when selling for Rs. 1920:
- Selling Price = Rs. 1920
- Profit = Selling Price - Cost Price = 1920 - C
- Percentage Profit = (Profit / Cost Price) * 100 = (1920 - C) / C * 100
2. Percentage Loss when selling for Rs. 1280:
- Selling Price = Rs. 1280
- Loss = Cost Price - Selling Price = C - 1280
- Percentage Loss = (Loss / Cost Price) * 100 = (C - 1280) / C * 100
According to the given information, the above two percentages are equal:
(1920 - C) / C * 100 = (C - 1280) / C * 100
Simplifying the equation:
1920 - C = C - 1280
2C = 1920 + 1280
2C = 3200
C = 3200 / 2
C = 1600
Therefore, the cost price of the article is Rs. 1600.
To calculate the selling price to make a 25% profit:
Profit = 25% of Cost Price = (25/100) * 1600 = 400
Selling Price = Cost Price + Profit = 1600 + 400 = 2000
Hence, the article should be sold for Rs. 2000 to make a 25% profit.
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The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?a)Rs. 2000b)Rs. 2200c)Rs. 2400d)Data inadequatee)None of theseCorrect answer is option 'A'. Can you explain this answer?
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