Question : If the selling price of an article is $1\tfrac{1}{3}$rd of the cost price, find gain percentage:
Option 1: $25\%$
Option 2: $33\frac{1}{3}\%$
Option 3: $1.33\%$
Option 4: $66\tfrac{2}{3}\%$
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Correct Answer: $33\frac{1}{3}\%$
Solution :
Given: The selling price (SP) of an article is $1\tfrac{1}{3}$rd of the cost price (CP).
Gain percentage $=\frac{\text{Selling price – Cost price}}{\text{Cost price}}×100$
Gain percentage $=\frac{\frac{4}{3}×\text{CP}-\text{CP}}{\text{CP}}×100=(\frac{4}{3}-1)×100=\frac{100}{3}\%=33\frac{1}{3}\%$
Hence, the correct answer is $33\tfrac{1}{3}\%$.
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