1. **Problem statement:** (a)(i) A furniture salesman earned 36200 last year and paid 22% tax. Find how much was left after tax. (a)(ii) His earnings of 36200 consist of 25000 basic salary plus 8% of the value of furniture sold. Find the value of the furniture sold. 2. **Formulas and rules:** - To find amount left after tax: \( \text{Amount left} = \text{Total earnings} - \text{Tax} \) - Tax is a percentage of total earnings: \( \text{Tax} = \text{Total earnings} \times \frac{\text{Tax rate}}{100} \) - Earnings formula: \( \text{Total earnings} = \text{Basic salary} + 0.08 \times \text{Value of furniture} \) 3. **Step-by-step solution:** **(i) Amount left after paying 22% tax:** - Calculate tax: \( 36200 \times \frac{22}{100} = 36200 \times 0.22 = 7964 \) - Amount left: \( 36200 - 7964 = 28236 \) **(ii) Calculate value of furniture sold:** - Let \( x \) be the value of furniture sold. - Earnings equation: \( 36200 = 25000 + 0.08x \) - Subtract basic salary: \( 36200 - 25000 = 0.08x \) - Simplify: \( 11200 = 0.08x \) - Solve for \( x \): \( x = \frac{11200}{0.08} = 140000 \) 4. **Final answers:** - (i) Amount left after tax: \( 28236 \) - (ii) Value of furniture sold: \( 140000 \)