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Profit percentage earned by selling an article for Rs.1920 is equal to the loss percentage when the article is sold for Rs.1280. At what price should
Question

Profit percentage earned by selling an article for Rs.1920 is equal to the loss percentage when the article is sold for Rs.1280. At what price should it be sold, if the profit is to be 30%?

A.

Rs.2060

B.

Rs.2040

C.

Rs.2080

D.

Rs.2000

Correct option is C

Let CP of the article be Rs. x
According to the question
(1920-x)/x x 100 = (x - 1280)/x × 100
=>x + x = 1920 + 1280
=> 2x= 3200
=>x= 3200/2
=>x= 1600
CP of the article is = Rs. 1600
New SP of the article = 1600 x 130/100 = Rs. 2080
Short Trick:
CP of the article = (1920+1280)/2 = 1600
New SP of the article = 1600 x 130/100 = Rs. 2080

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