To find the interest on \( N250.00 \) for \( 6 \) months at the same rate, we follow these steps: Calculate the Interest Rate Given: P = N150.00, T = 2\(\frac{1}{2}\) years and I = N4.50 Using the formula for simple interest: \(I = P \times r \times T\) Rearranging to find the interest rate \( r \): \(r = \frac{I}{P \times T}\) Substituting the values: \(r = \frac{4.50}{150 \times 2.5}\) Calculating \( P \times T \): \(P \times T = 150 \times 2.5 = 375\) Now, substituting back to find \( r \): \(r = \frac{4.50}{375} = 0.012\) Calculate the Interest for N250.00 \) for 6 Months We need to calculate the interest for: P = N250.00, T = 6 months = 0.5yrs, r = 0.012 Using the interest formula again: \(I = P \times r \times T\) Substituting the values: \(I = 250 \times 0.012 \times 0.5\) \(I = 250 \times 0.012 = 3\) Then: \(I = 3 \times 0.5 = 1.50\) The interest on \( N250.00 \) for \( 6 \) months at the same rate is N1.5