Discussion
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 shoule the article be sold to make \(25\) % profit?
Answer: A
Let Cost Price be \(Rs. x.\)
Then, \(\frac{1920 - x}{x} \times 100 = \frac{x - 1280}{x} \times 100\)
\(\Rightarrow 1920 - x = x - 1280\)
\(\Rightarrow 2x = 3200\)
\(\Rightarrow x = 1600\)
\(\therefore \) Required Selling Price \(= 125\) % of \(Rs. 1600 = Rs. (\frac{125}{100} \times 1600) = 2000.\)
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