1. **State the problem:** Zahra's EMSAT score was 820 initially, and it increased by 20% in her second attempt. We need to find her new EMSAT score. 2. **Formula used:** To calculate the increased score, use the formula for percentage increase: $$\text{New Score} = \text{Original Score} + \left(\frac{\text{Percentage Increase}}{100} \times \text{Original Score}\right)$$ 3. **Calculate the increase:** $$\text{Increase} = \frac{20}{100} \times 820 = 0.20 \times 820 = 164$$ 4. **Calculate the new score:** $$\text{New Score} = 820 + 164 = 984$$ 5. **Answer:** Zahra's new EMSAT score after the 20% increase is **984**.