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Calculate the net income and financial metrics for Mr. Kalulu's business, given his annual income, tax brackets, opening stock, purchases, and closing stock.

Accounting

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Step-by-step solution

15 steps

here are the calculations for question 14:

Part a· 6 steps

Calculate the net income.

  1. Calculate tax on the first KShs 20,000.

    Tax1=10%×20,000=0.10×20,000=2,000 KShs\text{Tax}_1 = 10\% \times 20,000 = 0.10 \times 20,000 = 2,000 \text{ KShs}
  2. Calculate tax on the next KShs 30,000.

    Tax2=15%×30,000=0.15×30,000=4,500 KShs\text{Tax}_2 = 15\% \times 30,000 = 0.15 \times 30,000 = 4,500 \text{ KShs}
  3. Calculate the remaining income.

    Remaining income=60,000−(20,000+30,000)=60,000−50,000=10,000 KShs\text{Remaining income} = 60,000 - (20,000 + 30,000) = 60,000 - 50,000 = 10,000 \text{ KShs}
  4. Calculate tax on the remaining income.

    Tax3=25%×10,000=0.25×10,000=2,500 KShs\text{Tax}_3 = 25\% \times 10,000 = 0.25 \times 10,000 = 2,500 \text{ KShs}
  5. Calculate the total tax.

    Total Tax=Tax1+Tax2+Tax3=2,000+4,500+2,500=9,000 KShs\text{Total Tax} = \text{Tax}_1 + \text{Tax}_2 + \text{Tax}_3 = 2,000 + 4,500 + 2,500 = 9,000 \text{ KShs}
  6. Calculate the net income.

    Net Income=Annual Income−Total Tax=60,000−9,000=51,000 KShs\text{Net Income} = \text{Annual Income} - \text{Total Tax} = 60,000 - 9,000 = 51,000 \text{ KShs}

    The net income is 51,000 KShs\boxed{\mathbf{51,000 \text{ KShs}}}.

Part b· 9 steps

Calculate the financial metrics for Mr. Kalulu's business.

First, we need to calculate Cost of Goods Sold (COGS), Gross Profit, and Sales Revenue.

  • Cost of Goods Sold (COGS):

    COGS=Opening Stock+Net Purchases−Closing Stock\text{COGS} = \text{Opening Stock} + \text{Net Purchases} - \text{Closing Stock} COGS=20,000+200,000−40,000=180,000 KShs\text{COGS} = 20,000 + 200,000 - 40,000 = 180,000 \text{ KShs}
  • Gross Profit: Given Gross profit mark up is 50% of COGS.

    Gross Profit=50%×COGS=0.50×180,000=90,000 KShs\text{Gross Profit} = 50\% \times \text{COGS} = 0.50 \times 180,000 = 90,000 \text{ KShs}
  • Sales Revenue:

    Sales Revenue=COGS+Gross Profit\text{Sales Revenue} = \text{COGS} + \text{Gross Profit} Sales Revenue=180,000+90,000=270,000 KShs\text{Sales Revenue} = 180,000 + 90,000 = 270,000 \text{ KShs}

Now we can calculate the required items:

b.i. Average stock.

  1. Use the formula for average stock.

    Average Stock=Opening Stock+Closing Stock2\text{Average Stock} = \frac{\text{Opening Stock} + \text{Closing Stock}}{2}
  2. Substitute the values and calculate.

    Average Stock=20,000+40,0002=60,0002=30,000 KShs\text{Average Stock} = \frac{20,000 + 40,000}{2} = \frac{60,000}{2} = 30,000 \text{ KShs}

    The average stock is 30,000 KShs\boxed{\mathbf{30,000 \text{ KShs}}}.

    b.ii. Rate of stock turned over.

  3. Use the formula for stock turnover ratio.

    Rate of Stock Turned Over=Cost of Goods SoldAverage Stock\text{Rate of Stock Turned Over} = \frac{\text{Cost of Goods Sold}}{\text{Average Stock}}
  4. Substitute the calculated values and compute.

    Rate of Stock Turned Over=180,00030,000=6 times\text{Rate of Stock Turned Over} = \frac{180,000}{30,000} = 6 \text{ times}

    The rate of stock turned over is 6 times\boxed{\mathbf{6 \text{ times}}}.

    b.iii. Gross profit margin.

  5. Use the formula for gross profit margin.

    Gross Profit Margin=Gross ProfitSales Revenue×100%\text{Gross Profit Margin} = \frac{\text{Gross Profit}}{\text{Sales Revenue}} \times 100\%
  6. Substitute the calculated values and compute.

    Gross Profit Margin=90,000270,000×100%=13×100%≈33.33%\text{Gross Profit Margin} = \frac{90,000}{270,000} \times 100\% = \frac{1}{3} \times 100\% \approx 33.33\%

    The gross profit margin is 33.33%\boxed{\mathbf{33.33\%}}.

    b.iv. Return on capital.

  7. Calculate Net Profit.

    Net Profit=Gross Profit−Expenses\text{Net Profit} = \text{Gross Profit} - \text{Expenses} Net Profit=90,000−60,000=30,000 KShs\text{Net Profit} = 90,000 - 60,000 = 30,000 \text{ KShs}
  8. Use the formula for return on capital.

    Return on Capital=Net ProfitCapital×100%\text{Return on Capital} = \frac{\text{Net Profit}}{\text{Capital}} \times 100\%
  9. Substitute the values and compute.

    Return on Capital=30,000150,000×100%=15×100%=20%\text{Return on Capital} = \frac{30,000}{150,000} \times 100\% = \frac{1}{5} \times 100\% = 20\%

    The return on capital is 20%\boxed{\mathbf{20\%}}.

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