1. **State the problem:** We want to find the probability that a person scores above 500 on the GMAT, given that scores are normally distributed with mean $\mu = 527$ and standard deviation $\sigma = 112$. 2. **Convert the score to a z-score:** The z-score formula is $$z = \frac{X - \mu}{\sigma}$$ where $X=500$. So, $$z = \frac{500 - 527}{112} = \frac{-27}{112} \approx -0.2411$$ 3. **Find the cumulative probability for z:** Using normal distribution tables or a calculator, find $P(Z \leq -0.2411)$. The cumulative probability is about 0.4046 or 40.46%. 4. **Calculate the probability of scoring above 500:** Since $P(Z \leq z)$ is the probability of scoring below 500, $$P(X > 500) = 1 - P(Z \leq -0.2411) = 1 - 0.4046 = 0.5954$$ 5. **Convert probability to percent form:** $$0.5954 \times 100 = 59.54$$ **Final answer:** The probability of scoring above 500 on the GMAT is **59.54** percent.