The percentage profit earned by selling an article for Tk. 1,920 is equal to the percentage loss incurred by selling the same article for Tk. 1,280. At what price should the article be sold to make 25% profit?

কোন একটি পণ্য 1,920 টাকায় বিক্রিয় করায় শতকরা যে পরিমাণ লাভ হয়, 1,280 টাকায় বিক্রয় করলে ঠিক ঐ পরিমাণ ক্ষতি হয়। 25% লাভ করতে হলে দ্রব্যটি কত টাকায় বিক্রয় করতে হবে?

Let, the cost price be Tk. x

∴ Profit = Selling price - Cost price & Loss = Cost price - Selling price.

Now, According to question

$$\begin{gathered} 1,920-x=x-1,280 \\ \Rightarrow x+x= 1,280 + 1,920 \left[ Profit = Selling price - Cost price. \\ \& Loss = Cost price - Selling price.\right] \\ \Rightarrow 2x=3,200 \\ \therefore x = \frac{3200}{2} = 1600 \\ \therefore The \cos t price of the article is Tk. 1,600. \\ Now at 25\% profit, the selling price will be = \left(1600 + 1600 \times \frac{25}{100}\right) \\ = \left(1600 + 400\right) Tk. = 2000 Tk. \\ \mathit{A}\mathit{n}\mathit{s}\mathit{w}\mathit{e}\mathit{r}\mathbf{:}\mathbf{ }\mathbf{2000}\mathbf{ }\mathit{T}\mathit{k}\mathbf{.} \end{gathered}$$