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Question

Accountancy Question on Profit sharing ratio

From the following details, calculate the interest coverage ratio:
Net Profit after tax: 1,80,000
Long-term debt: 20,00,000
Interest rate: 15%\%
Tax rate: 40%\%

A

4 times

B

2 times

C

6 times

D

8 times

Answer

2 times

Explanation

Solution

1. Calculate the Interest Expense: - Interest expense on long-term debt = Long-term debt ×\times Interest rate Interest expense=20,00,000×15%=20,00,000×0.15=3,00,000\text{Interest expense} = 20,00,000 \times 15\% = 20,00,000 \times 0.15 = 3,00,000 2. Calculate Net Profit before Interest and Tax (NPBIT): - Since Net Profit after tax is given, we need to calculate NPBIT. - Let xx be the Net Profit before tax. We know: Net Profit after tax=xTax\text{Net Profit after tax} = x - \text{Tax} Tax=Tax rate×x\text{Tax} = \text{Tax rate} \times x Tax=40%×x=0.4x\text{Tax} = 40\% \times x = 0.4x - Therefore, Net Profit after tax=x0.4x=0.6x\text{Net Profit after tax} = x - 0.4x = 0.6x - Given that Net Profit after tax = 1,80,000: 0.6x=1,80,000    x=1,80,0000.6=3,00,0000.6x = 1,80,000 \implies x = \frac{1,80,000}{0.6} = 3,00,000 3. Calculate NPBIT: - NPBIT = Net Profit before tax + Interest Expense NPBIT=3,00,000+3,00,000=6,00,000\text{NPBIT} = 3,00,000 + 3,00,000 = 6,00,000 4. Calculate Interest Coverage Ratio (ICR): ICR=NPBITInterest Expense=6,00,0003,00,000=2 times\text{ICR} = \frac{\text{NPBIT}}{\text{Interest Expense}} = \frac{6,00,000}{3,00,000} = 2 \text{ times} Thus, the correct answer is actually 2 times .