What percentage of the tailor's earning is deducted for tax?

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here are the solutions for questions 8, 9, 10, and 11.

8. What percentage of the tailor's earning is deducted for tax?

Recall the tailor's gross annual pay and income tax deduction from the previous information.
Gross Annual Pay = K8 000
Income Tax Deduction = K1 850
Calculate the percentage of the gross annual pay that is deducted for tax.
$\text{Percentage Tax} = \frac{\text{Income Tax Deduction}}{\text{Gross Annual Pay}} \times 100\%$ $\text{Percentage Tax} = \frac{\text{K}1850}{\text{K}8000} \times 100\%$ $\text{Percentage Tax} = 0.23125 \times 100\%$ $\text{Percentage Tax} = 23.125\%$ $\boxed{23.125\%}$
9. A sales representative is paid a basic week K94. In addition he is paid a commission of 4% on his sales. In a certain week he did sales worth K500. Work out his commission for that week.
Identify the sales amount and the commission rate.
Sales = K500
Commission Rate = 4%
Calculate the commission for that week.
$\text{Commission} = \text{Commission Rate} \times \text{Sales}$ $\text{Commission} = 4\% \times \text{K}500$ $\text{Commission} = 0.04 \times 500$ $\text{Commission} = \text{K}20.00$ $\boxed{\text{K}20.00}$
10. A man earns a taxable income of K40 000. Work out the amount of tax payable if tax bands are 25% up to K23 700 and 40% above K23 701.
Calculate the tax for the first band (up to K23 700 at 25%).
$\text{Tax for 1st Band} = 25\% \times \text{K}23700$ $\text{Tax for 1st Band} = 0.25 \times 23700 = \text{K}5925$
Calculate the income remaining for the second tax band.
$\text{Remaining Income} = \text{Total Taxable Income} - \text{First Band Limit}$ $\text{Remaining Income} = \text{K}40000 - \text{K}23700 = \text{K}16300$
Calculate the tax for the second band (K16 300 at 40%).
$\text{Tax for 2nd Band} = 40\% \times \text{K}16300$ $\text{Tax for 2nd Band} = 0.40 \times 16300 = \text{K}6520$
Calculate the total tax payable by summing the tax from both bands.
$\text{Total Tax Payable} = \text{Tax for 1st Band} + \text{Tax for 2nd Band}$ $\text{Total Tax Payable} = \text{K}5925 + \text{K}6520 = \text{K}12445$ $\boxed{\text{K}12445}$
11. Aaron has a new bathroom installed in his house. The bill is K8 742.80 and is to GST of 10%. Find the total amount Aaron pays.
Identify the original bill amount and the GST rate.
Original Bill = K8 742.80
GST Rate = 10%
Calculate the GST amount.
$\text{GST Amount} = 10\% \times \text{K}8742.80$ $\text{GST Amount} = 0.10 \times 8742.80 = \text{K}874.28$
Add the GST amount to the original bill to find the total amount Aaron pays.
$\text{Total Amount} = \text{Original Bill} + \text{GST Amount}$ $\text{Total Amount} = \text{K}8742.80 + \text{K}874.28 = \text{K}9617.08$ $\boxed{\text{K}9617.08}$

What percentage of the tailor's earning is deducted for tax?

Step-by-step solution

Recall the tailor's gross annual pay and income tax deduction from the previous information.

Calculate the percentage of the gross annual pay that is deducted for tax.

Identify the sales amount and the commission rate.

Calculate the commission for that week.

Calculate the tax for the first band (up to K23 700 at 25%).

Calculate the income remaining for the second tax band.

Calculate the tax for the second band (K16 300 at 40%).

Calculate the total tax payable by summing the tax from both bands.

Identify the original bill amount and the GST rate.

Calculate the GST amount.

Add the GST amount to the original bill to find the total amount Aaron pays.

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