An article is sold at a certain price. If it is sold at 80% of this price, then there will be a loss of 10%. What is the percentage profit when the article is sold at the original selling price?
Let the original selling price be Rs.100.
It is sold at 80% of this price, then there will be a loss of 10%.
So, selling price = Rs.80
Cost price = $$\frac{80}{90} \times 100 = \frac{800}{9}$$
Profit = 100 - $$\frac{800}{9}$$ = \frac{100}{9}$$
Profit percentage = $$\frac{\frac{100}{9}}{\frac{800}{9}} \times 100$$ = $$\frac{100}{8}$$
= $$12 \frac{1}{2}$$
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