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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)2000
- b)2200
- c)2400
- d)Data inadequate
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
The percentage profit earned by selling an article for Rs. 1920 is eq...
To solve this problem, let's assume the cost price of the article is 'C'.
Given, the percentage profit earned by selling the article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280.
Profit Percentage:
Profit = Selling Price - Cost Price
Profit Percentage = (Profit/Cost Price) * 100
Loss Percentage:
Loss = Cost Price - Selling Price
Loss Percentage = (Loss/Cost Price) * 100
According to the given condition,
(1920 - C)/C * 100 = (C - 1280)/C * 100
Canceling out the common factors and simplifying,
(1920 - C)/(C - 1280) = 1
Cross-multiplying,
1920 - C = C - 1280
Simplifying further,
1920 + 1280 = 2C
3200 = 2C
C = 3200/2
C = 1600
Therefore, the cost price of the article is Rs. 1600.
To find the selling price that will give a 25% profit, we can use the formula:
Selling Price = Cost Price + Profit
Profit = 25% of Cost Price = 25/100 * 1600 = Rs. 400
Selling Price = 1600 + 400 = Rs. 2000
Hence, the article should be sold for Rs. 2000 to make a 25% profit.
Given, the percentage profit earned by selling the article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280.
Profit Percentage:
Profit = Selling Price - Cost Price
Profit Percentage = (Profit/Cost Price) * 100
Loss Percentage:
Loss = Cost Price - Selling Price
Loss Percentage = (Loss/Cost Price) * 100
According to the given condition,
(1920 - C)/C * 100 = (C - 1280)/C * 100
Canceling out the common factors and simplifying,
(1920 - C)/(C - 1280) = 1
Cross-multiplying,
1920 - C = C - 1280
Simplifying further,
1920 + 1280 = 2C
3200 = 2C
C = 3200/2
C = 1600
Therefore, the cost price of the article is Rs. 1600.
To find the selling price that will give a 25% profit, we can use the formula:
Selling Price = Cost Price + Profit
Profit = 25% of Cost Price = 25/100 * 1600 = Rs. 400
Selling Price = 1600 + 400 = Rs. 2000
Hence, the article should be sold for Rs. 2000 to make a 25% profit.
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Community Answer
The percentage profit earned by selling an article for Rs. 1920 is eq...
Let C.P. be Rs. x.
⇒ 1920 − x = x − 1280
⇒ 2x = 3200
⇒ x = 1600
∴ Required S.P. = 125% of Rs. 1600
Hence, the correct option is (A).
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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)2000b)2200c)2400d)Data inadequateCorrect answer is option 'A'. Can you explain this answer?
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