Step 1: Calculate Gross Profit:
Gross profit is given as 25\% on cost. Converting it to a percentage on sales:
Gross Profit on Sales=100+2525×100=20%
\[
\text{Gross Profit} = \rupee 10,00,000 \times 20\% = \rupee 2,00,000
\]
Step 2: Calculate Operating Profit:
Operating profit is calculated as:
Operating Profit=Gross Profit−Operating Expenses
Operating Expenses include:
Office and administrative expenses: \rupee 18,000
Selling and distribution expenses: \rupee 2,000
Loss by theft: \rupee 20,000
\[
\text{Total Operating Expenses} = \rupee 18,000 + \rupee 2,000 + \rupee 20,000 = \rupee 40,000
\]
\[
\text{Operating Profit} = \rupee 2,00,000 - \rupee 40,000 = \rupee 1,60,000
\]
Step 3: Calculate Operating Profit Ratio:
Operating Profit Ratio=Revenue from OperationsOperating Profit×100
\[
\text{Operating Profit Ratio} = \frac{\rupee 1,60,000}{\rupee 10,00,000} \times 100 = 20.4\%
\]