Question

The profit earned by selling an article for Rs900 is double the loss incurred when the same article is sold for Rs.450.At what price should the article be sold to make 25%profit?

Answer 1

It should be sold at Rs.750

Cost of article without any profit or loss is 600 as
loss for selling article at Rs.450 is 150 and
profit after selling it at Rs.900 is 900-600=300 i,e double of 150.

And 25% of 600 is 25/100*600=150

So, Cost of article with 25% profit is 600+150 
                                                               = 750

Answer 2

Let C.P. = x Profit = 2(Loss) => 900 - x = 2 (x - 450) => 900 - x = 2x - 900 => 3x = 1800 => x = 600 C.P. = 600 Profit = 25% S.P. = 125*600/100 S.P. = 750