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

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

(a) Determine the number of computers the retailer bought:

1. Let's assume the original price per computer was P.
2. The total amount of money planned for the purchase was 1,800,000 shillings.
3. Since the price per unit was reduced by 4,000 shillings, the new price per computer is P - 4,000.
4. With the reduced price, the retailer was able to buy five more computers than originally planned.
5. So, we need to find the number of computers the retailer bought using the same amount of money as originally planned.

Let's set up the equation:

Original total cost = New total cost

Total units * Original price = (Total units + 5) * New price

Therefore, we have:

Total units * P = (Total units + 5) * (P - 4,000)

Simplifying the equation:

P * Total units = P * Total units + 5P - 4,000 * Total units - 20,000

Rearranging the equation:

P * Total units - P * Total units = 20,000 - 5P

Simplifying:

0 = 20,000 - 5P

5P = 20,000

P = 4,000

Therefore, the original price per computer was 4,000 shillings.

Now, let's substitute this value back into the equation to find the total number of computers bought:

Total units * 4,000 = (Total units + 5) * (4,000 - 4,000)

4,000 * Total units = 4,000 * Total units

The equation is true for any value of Total units.

So, the number of computers the retailer bought is undefined or infinite. It doesn't matter how many computers they bought, as long as the equation remains true.

(b) Calculate the profit made by the retailer on each computer sold:

To calculate the profit made by the retailer on each computer sold, we need to know the selling price of each computer. Without this information, we cannot proceed with the calculation.