Let's denote the number of days the assistant worked as \(x\). Since the painter worked 10 days more than the assistant, the number of days the painter worked is \(x + 10\).

The painter charges N40.00 per day, so the amount the painter earned is \(40 \times (x + 10)\).

The assistant charges N10.00 per day, so the amount the assistant earned is \(10x\).

Given that the total amount earned is N2000.00, we can set up an equation:

\(40 \times (x + 10) + 10x = 2000\)

Simplify the equation:

\(40x + 400 + 10x = 2000\)

Combine like terms:

\(50x + 400 = 2000\)

Subtract 400 from both sides:

\(50x = 1600\)

Divide by 50:

\(x = 32\)

So, the assistant worked for 32 days. Now we can calculate the amount the assistant received:

\(10x = 10 \times 32 = 320\)