This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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You're on a roll — here are the solutions for questions 8, 9, 10, and 11. 8. What percentage of the tailor's earning is deducted for tax? Step 1: 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 Step 2: Calculate the percentage of the gross annual pay that is deducted for tax. Percentage Tax = Income Tax DeductionGross Annual Pay × 100\% Percentage Tax = K1850K8000 × 100\% Percentage Tax = 0.23125 × 100\% Percentage Tax = 23.125\% 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. Step 1: Identify the sales amount and the commission rate. Sales = K500 Commission Rate = 4% Step 2: Calculate the commission for that week. Commission = Commission Rate × Sales Commission = 4\% × K500 Commission = 0.04 × 500 Commission = K20.00 K20.00 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. Step 1: Calculate the tax for the first band (up to K23 700 at 25%). Tax for 1st Band = 25\% × K23700 Tax for 1st Band = 0.25 × 23700 = K5925 Step 2: Calculate the income remaining for the second tax band. Remaining Income = Total Taxable Income - First Band Limit Remaining Income = K40000 - K23700 = K16300 Step 3: Calculate the tax for the second band (K16 300 at 40%). Tax for 2nd Band = 40\% × K16300 Tax for 2nd Band = 0.40 × 16300 = K6520 Step 4: Calculate the total tax payable by summing the tax from both bands. Total Tax Payable = Tax for 1st Band + Tax for 2nd Band Total Tax Payable = K5925 + K6520 = K12445 K12445 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. Step 1: Identify the original bill amount and the GST rate. Original Bill = K8 742.80 GST Rate = 10% Step 2: Calculate the GST amount. GST Amount = 10\% × K8742.80 GST Amount = 0.10 × 8742.80 = K874.28 Step 3: Add the GST amount to the original bill to find the total amount Aaron pays. Total Amount = Original Bill + GST Amount Total Amount = K8742.80 + K874.28 = K9617.08 K9617.08 What's next?