A shopkeeper earned a profit (in Rs.) by selling an item, which is three times the
discount offered (in Rs.). If the discount offered is 6.25%, what is his profit percentage?
Options:

Question

Accepted Answer

Let the discount offered be $$ z $$ Rs., and the profit earned be $$ 3z $$ Rs.

#### Step 1: Discount Percentage
The discount offered is given as **6.25%** of the selling price. Let the selling price be $$ S $$ Rs.  
$$
z = \frac{6.25}{100} 	imes S = \frac{z}{S} = 0.0625.
$$

#### Step 2: Profit Calculation
The profit earned is three times the discount offered:  
$$
	ext{Profit} = 3z.
$$

#### Step 3: Profit Percentage
The profit percentage relative to the selling price is:  
$$
	ext{Profit Percentage} = \frac{	ext{Profit}}{	ext{Selling Price}} 	imes 100 = \frac{3z}{S} 	imes 100.
$$

Substitute $$ z/S = 0.0625 $$:  
$$
	ext{Profit Percentage} = 3 	imes 0.0625 	imes 100 = 25\%.
$$

Thus, the profit percentage is **25%**.

Answer

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