Solve the above question in English

The seller sold 360 handbags, each for Ksh 500.

$$\text{Total sales} = 360 \times \text{Ksh } 500 = \text{Ksh } 180,000$$

Commission is paid on sales exceeding Ksh 100,000.

$$\text{Amount eligible for commission} = \text{Ksh } 180,000 - \text{Ksh } 100,000 = \text{Ksh } 80,000$$

Commission is 2% of the eligible amount.

$$\text{Commission} = 2\% \times \text{Ksh } 80,000 = \frac{2}{100} \times \text{Ksh } 80,000 = \text{Ksh } 1,600$$

Total earnings are the monthly salary plus commission.

$$\text{Total earnings} = \text{Salary} + \text{Commission} = \text{Ksh } 12,000 + \text{Ksh } 1,600 = \boxed{\text{Ksh } 13,600}$$

The original salary was Ksh 12,000 and it was increased by 10%.

$$\text{Salary increase} = 10\% \times \text{Ksh } 12,000 = \frac{10}{100} \times \text{Ksh } 12,000 = \text{Ksh } 1,200$$ $$\text{New salary} = \text{Ksh } 12,000 + \text{Ksh } 1,200 = \text{Ksh } 13,200$$

Total earnings were Ksh 17,600.

$$\text{Commission} = \text{Total earnings} - \text{New salary} = \text{Ksh } 17,600 - \text{Ksh } 13,200 = \text{Ksh } 4,400$$

Commission is 2% of the eligible amount.

$$\text{Ksh } 4,400 = 2\% \times \text{Eligible amount}$$ $$\text{Eligible amount} = \frac{\text{Ksh } 4,400}{0.02} = \text{Ksh } 220,000$$

The eligible amount for commission is sales exceeding Ksh 100,000.

$$\text{Total sales} = \text{Eligible amount} + \text{Ksh } 100,000 = \text{Ksh } 220,000 + \text{Ksh } 100,000 = \boxed{\text{Ksh } 320,000}$$

Total sales were Ksh 320,000 and each handbag was sold for Ksh 500.

$$\text{Number of handbags} = \frac{\text{Total sales}}{\text{Price per handbag}} = \frac{\text{Ksh } 320,000}{\text{Ksh } 500} = \boxed{640 \text{ handbags}}$$