Question 130

An article was sold at a certain price. Had it been sold at $$\frac{4}{5}$$ of that price, there would have been a loss of 10%. At what profit percentage was the article sold initially?

Solution

Let the cost price of article be rs.100 and Profit be x%.

Initially selling price = 100 + 100 \times \frac{x}{100} = 100 + x

loss = 10%

Final SP = $$(100 + x) \times \frac{4}{5} = \frac{4(100 + x)}{5}$$

100 $$\times \frac{90}{100} = \frac{4(100 + x)}{5}$$

90 = $$\frac{400 + 4x}{5}$$

x = 50/4 = 12.5%

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