At what time will N1500.00 gain N450.00 at 5% per annum?

Sure, let's solve this step by step.

We are given:

• Principal (P) = N1500.00
• Interest (I) = N450.00
• Rate (R) = 5% per annum

We need to find the time (T) in years.

The formula for simple interest is: $I = P \times R \times T$

First, let's convert the rate from a percentage to a decimal: $R = \frac{5}{100} = 0.05$

Now, we can plug the values into the simple interest formula and solve for T: $450 = 1500 \times 0.05 \times T$

Next, simplify the equation: $450 = 75 \times T$

To isolate T, divide both sides by 75: $T = \frac{450}{75}$

$T = 6$

So, it will take 6 years for N1500.00 to gain N450.00 at an interest rate of 5% per annum.