a) Calculate their net profit per day. Step 1: Calculate the daily revenue. The matatu carries 14 passengers, each paying Sh. 250. It makes two round trips daily. $$ \text{Revenue per trip} = 14 \text{ passengers} \times \text{Sh. } 250/\text{passenger} = \text{Sh. } 3,500 $$ $$ \text{Daily Revenue} = 2 \text{ trips} \times \text{Sh. } 3,500/\text{trip} = \text{Sh. } 7,000 $$ Step 2: Calculate the net profit per day. Daily running costs and wages are Sh. 6,000. $$ \text{Net Profit per Day} = \text{Daily Revenue} - \text{Daily Costs} $$ $$ \text{Net Profit per Day} = \text{Sh. } 7,000 - \text{Sh. } 6,000 = \text{Sh. } 1,000 $$ The net profit per day is $\boxed{\text{Sh. } 1,000}$. b) Calculate their monthly profit in June. Step 1: Calculate the profit from operations for 25 days. The matatu works for 25 days per month. $$ \text{Profit from Operations} = \text{Net Profit per Day} \times \text{Number of Working Days} $$ $$ \text{Profit from Operations} = \text{Sh. } 1,000/\text{day} \times 25 \text{ days} = \text{Sh. } 25,000 $$ Step 2: Calculate the monthly profit in June. The matatu is serviced every month at a cost of Sh. 10,000. $$ \text{Monthly Profit in June} = \text{Profit from Operations} - \text{Servicing Cost} $$ $$ \text{Monthly Profit in June} = \text{Sh. } 25,000 - \text{Sh. } 10,000 = \text{Sh. } 15,000 $$ Their monthly profit in June is $\boxed{\text{Sh. } 15,000}$. c) Calculate James's share in the month of July. Step 1: Determine the ratio of contributions. Jared: Sh. 600,000 James: Sh. 400,000 Jack: Sh. 800,000 The ratio of contributions is $600,000 : 400,000 : 800,000$. Simplifying the ratio by dividing by 200,000: $$ \text{Ratio} = 3 : 2 : 4 $$ The sum of the ratio parts is $3 + 2 + 4 = 9$. James's share of the ratio is $\frac{2}{9}$. Step 2: Determine the total profit for July. Assuming the monthly profit in July is the same as June: $$ \text{Total Profit for July} = \text{Sh. } 15,000 $$ Step 3: Calculate the portion of profit to be shared in the ratio of contributions. 24% of the profit is to be shared in the ratio of their contribution. $$ \text{Amount for Ratio Sharing} = 0.24 \times \text{Total Profit for July} $$ $$ \text{Amount for Ratio Sharing} = 0.24 \times \text{Sh. } 15,000 = \text{Sh. } 3,600 $$ Step 4: Calculate James's share from this portion. $$ \text{James's Share} = \text{James's Ratio Fraction} \times \text{Amount for Ratio Sharing} $$ $$ \text{James's Share} = \frac{2}{9} \times \text{Sh. } 3,600 = \text{Sh. } 800 $$ James's share in the month of July is $\boxed{\text{Sh. } 800}$. d) Calculate the selling price of the matatu. Step 1: Calculate the total amount received by the partners. Each