Concept:Use the relationship between mean, total sum, and number of items.Explanation:The mean of 7 numbers is 96.So the sum of the 7 numbers is 7×96=672.Let the eighth number be x.The new sum is 672+x.The new mean is 8672+x=112.Multiply both sides by 8: 672+x=896.Subtract 672 from both sides: x=224.Answer:The eighth number is 224, so the correct option is D.