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Profit and Loss
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A vendor sells his articles at a certain profit percentage. If he sells his article at $$\frac{1}{3}$$ of his actual selling price, then he incurs a loss of 40%. What is his actual profit percentage?

Answer & Solution
Correct Answer: Option C
Go through the option:
100 (CP) == 80%↑ ⇒ 180(SP)
$$\frac{1}{3}$$ of SP = $$\frac{180}{3}$$ = 60
Loss = 40% = 100 - 60 = 40
Hence, option (C) is correct as it gives 40% loss on CP on reducing the price to $$\frac{1}{3}$$ of CP.
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2 Comments
Farid Uddin
Farid Uddin 6 years ago
Let the actual profit % = x%, Therefore, If cost price is Rs 100, then profit will be 100+x, According to question, (100+x)/3 = 100-40, We get , x = 80
Rajesh Katta
Rajesh Katta 8 years ago
The cost price of an article is numerically equal to the profit% and its selling price is Rs.31.25.What it's cost price?