A retailer planned to buy some computers form a wholesaler for a total of Shillings 1,800,000. Before the retailer could buy the computers the price per unit was reduced by shillings 4,000. This reduction in price enabled the retailer to buy five more computers using the same amount of money as originally planned.

(a) Determine the number of computers the retailer bought;
(b) Two of the computers purchased got damaged while in store, the rest were sold and the retailer made a 15% profit. Calculate the profit made by the retailer on each computer sold

50 and 5,625

To solve this problem, let's break it down step by step:

(a) Determine the number of computers the retailer bought:
1. First, let's calculate the original price per unit. We know that the retailer planned to buy the computers for a total of Shillings 1,800,000. Let's assume the original price per unit was P shillings.
2. Therefore, the number of computers originally planned to buy can be determined by dividing the total amount by the original price per unit: 1,800,000 / P.
3. Next, the price per unit was reduced by Shillings 4,000. So, the new price per unit will be P - 4,000.
4. Now, the retailer can buy five more computers using the same amount of money as originally planned. This implies that the new number of computers bought is equal to the original number plus five: (1,800,000 / P) + 5.
5. Equating the original number of computers with the new number of computers gives us the equation: (1,800,000 / P) = (1,800,000 / (P - 4,000)) + 5.
6. Solving this equation will give us the value of P and, subsequently, the number of computers the retailer bought.

(b) Calculate the profit made by the retailer on each computer sold:
1. We know that two computers got damaged, so the number of computers sold will be (the number of computers bought) - 2.
2. The retailer made a 15% profit. This means the selling price is 115% of the cost price.
3. To calculate the profit made on each computer sold, we need to determine the cost price per computer, the selling price per computer, and then subtract the cost price from the selling price.

Now, to solve the equations mentioned above, we need specific values for the original price per unit or the number of computers bought. Please provide any additional information you may have in order to proceed with the calculations.