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If the gain is one-fifth of the selling price, then the gain percentage is:
Let the Cost Price = CP
Selling Price = SP
Given, gain is one-fifth of the selling price
$$=$$> Gain = $$\frac{\text{SP}}{5}$$
$$=$$> $$\text{SP}-\text{CP}=\frac{\text{SP}}{5}$$
$$=$$> $$\text{CP}=\text{SP}-\frac{\text{SP}}{5}$$
$$=$$> $$\text{CP}=\frac{4\text{SP}}{5}$$
$$\therefore\ $$Gain% = $$\frac{\text{Gain}}{\text{CP}}\times100$$
$$=\frac{\frac{\text{SP}}{5}}{\frac{4\text{SP}}{5}}\times100$$
$$=\frac{1}{4}\times100$$
$$=25\%$$
Hence, the correct answer is Option D
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