9. The enrolment at a school increased from I 400 learners to 1600 learners over 0 period of 5 years. What is the percentage increase in enrolment?

To find the percentage increase in enrolment, we can follow these steps: 1. **Identify the initial and final values:** - Initial enrolment (I) = 1400 learners - Final enrolment (F) = 1600 learners 2. **Calculate the increase in enrolment:** \[ \text{Increase} = F - I = 1600 - 1400 \] 3. **Calculate the percentage increase:** \[ \text{Percentage Increase} = \left( \frac{\text{Increase}}{I} \right) \times 100 \] Now, let's perform the calculations step by step. ### Step 1: Calculate the increase \[ \text{Increase} = 1600 - 1400 = 200 \] ### Step 2: Calculate the percentage increase \[ \text{Percentage Increase} = \left( \frac{200}{1400} \right) \times 100 \] Now, let's calculate the percentage increase. Calculate the value by following steps: - step0: Calculate: \(\left(\frac{200}{1400}\right)\times 100\) - step1: Reduce the fraction: \(\frac{1}{7}\times 100\) - step2: Multiply: \(\frac{100}{7}\) The percentage increase in enrolment is calculated as follows: \[ \text{Percentage Increase} = \frac{200}{1400} \times 100 = \frac{100}{7} \approx 14.29\% \] Thus, the percentage increase in enrolment over the 5 years is approximately **14.29%**.