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?

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Rs. 2000

Rs. 2200

Rs. 2400

Data inadequate

answer is A.

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Detailed Solution

Let CP is the cost price and SP is the selling price then loss and profit percentages are given by:
Profit percentage =

Loss percentage =

Now we can substitute the values,
Profit percentage

Loss percentage

Here, we can equate the percentages, such as,

Cancel same factors from both sides of the equation,
We get,’

Divide both sides of the equation by 2,

CP is Rs.1600
Now we have to find the selling price,
New selling price=Cost price +25% cost price
New selling price

Write percentage in fraction form:

New selling price:

Thus, New selling price = Rs. 2000
Hence, Option (1) is the correct answer.

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