Step 1: Extracting and Organizing the Financial Parameters:
Net Profit after Interest (NP) &= Rs. 50,000
Shareholders' Equity (Equity) &= Rs. 2,50,000
Debt Long-Term Loan (Debt) &= Rs. 2,50,000
Interest on Loan (Interest) &= Rs. 25,000 (10% of 2,50,000)
Step 2: Calculating Return on Equity (ROE):
ROE measures the profitability of a business relative to the funds invested by its shareholders:
Return on Equity (ROE) = \frac{Net Profit after Interest and Tax}{Total Shareholders' Equity} \times 100
Substitute our values:
ROE &= \frac{50,000}{2,50,000} \times 100
ROE &= 0.20 \times 100 = 20%
Step 3: Calculating Return on Investment (ROI):
ROI measures the overall operational efficiency of the business relative to its total capital invested (Capital Employed):
Total Capital Employed = Shareholders' Equity + Long-Term Loans
Total Capital Employed = 2,50,000 + 2,50,000 = Rs. 5,00,000
To calculate ROI, we use Net Profit Before Interest and Tax (NPBIT) to reflect operational returns before financing costs:
NPBIT = Net Profit after Interest + Interest on Loan
NPBIT = 50,000 + 25,000 = Rs. 75,000
Now, calculate the ROI:
Return on Investment (ROI) &= \frac{NPBIT}{Total Capital Employed} \times 100
ROI &= \frac{75,000}{5,00,000} \times 100
ROI &= 0.15 \times 100 = 15%