Question

- If the selling price of an article is doubled,
then its loss percentage gets converted into
the equal profit percentage. What is the
loss percentage?
(a) 16.66% (b) 50% (C) 33.33% (d) 37.5%​

Answer 1

Loss % = {(Cost price – selling price)/cost price} × 100

Profit % = {(2 × selling price – cost price)/cost price} × 100

According to question,

{(Cost price – selling price)/cost price} × 100 = {(2 × selling price – cost price)/cost price} × 100

⇒ cost price – selling price = 2 × selling price – cost price

⇒ 2 × cost price = 3 × selling price

⇒ Selling price/cost price = 2/3

Now,

∴ Loss % = {(Cost price – selling price)/cost price} × 100 = {1 – (selling price/cost price)} × 100 = {1 – (2/3)} × 100 = 33.33%