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Question 85
An article is sold at a certain price. If it is sold at $$33\frac{1}{3}\%$$ of this price, there is a loss of $$33\frac{1}{3}\%$$ What is the percentage profit whenit is sold at 60% of the original selling price?
Solution
Let the selling price of an article be Rs.100.
Now,
Selling price = 100 $$\times$$ 1/3 = 33.33
Loss =Â $$33\frac{1}{3}\%$$
(100 - 33.33)% of the cost price = 33.33
66.67%Â of the cost price = 33.33
Cost price = $$\frac{33.33}{66.67} \times 100$$ = 50
60% of the original selling price = 60
Profit = 60 - 50 = 10
Profit percentage = $$\frac{10}{50} \times 100$$Â = 20%
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