Alfred purchases an old scooter for ₹4700 and spends ₹800 on its repairs. If he sells the scooter for ₹5800, calculate his gain percentage.

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To calculate the gain percentage:

**Determine the Cost Price (C.P.)**:  
   Alfred's total cost price includes the purchase price and repair cost:  
   $$
   C.P. = ₹4700 + ₹800 = ₹5500
   $$

**Determine the Selling Price (S.P.)**:  
   The selling price of the scooter is given as ₹5800.

**Calculate Gain**:  
   Gain is the difference between the selling price and cost price:  
   $$
   	ext{Gain} = S.P. - C.P. = ₹5800 - ₹5500 = ₹300
   $$

**Calculate Gain Percentage**:  
   Use the formula for gain percentage:  
   $$
   	ext{Gain Percentage} = \left(\frac{	ext{Gain}}{	ext{C.P.}} 	imes 100ight)\%
   $$  
   Substituting values:  
   $$
   	ext{Gain Percentage} = \left(\frac{300}{5500} 	imes 100ight)\% = 5 \frac{5}{11}\%
   $$

Thus, Alfred's gain percentage is $$5 \frac{5}{11}\%$$.

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