A purchased an article and sold it to B at a loss of 20% and B sold it to C at a gain of 20%. C purchases the article for Rs. 480. For what price (in Rs.) A has purchased the article ?

Let cost price for A = Rs. $$100x$$

Loss % = 20%

=> Selling price for A = $$100x-\frac{20}{100}\times100x=Rs.$$ $$80x$$

Thus, cost price for B = Rs. $$80x$$ 

Profit  % = 20%

=> Selling price for B = $$80x+\frac{20}{100}\times100x=Rs.$$ $$96x$$

Thus, cost price for C = Rs. $$96x$$ 

According to ques, => $$96x=480$$

=> $$x=\frac{480}{96}=5$$

$$\therefore$$ A purchased the article for = $$100\times5=Rs.$$ $$500$$

=> Ans - (A)