## We know that the private developer bought the land at a price of 400,000 per hectare. Let's assume that the whole piece of land was x hectares.

So, the price at which he bought the whole piece of land will be:

Total price = Price per hectare x Total hectares

Total price = 400,000 * x

Later, the private developer sold the whole land for 2.25 million shillings.

1 million = 1,000,000

2.25 million = 2.25 x 1,000,000 = 2,250,000

We can set up an equation based on the information given:

Selling price = Total price + Profit

2,250,000 = 400,000 * x + Profit

We can solve for Profit by subtracting the Total price from the Selling price:

Profit = 2,250,000 - 400,000 * x

We can then substitute this expression for Profit into the previous equation:

2,250,000 = 400,000 * x + (2,250,000 - 400,000 * x)

Simplifying the equation:

2,250,000 = 2,250,000

This is a true statement, which means that our assumption that the whole piece of land was x hectares is correct.

So, the private developer bought the whole piece of land at a price of:

Total price = 400,000 * x

Total price = 400,000 * (area of land in hectares)

Total price = 400,000 * (2.25 million / 400,000)

Total price = 2.25 million shillings

Therefore, the private developer bought the whole piece of land at a price of 2.25 million shillings.