In a two-month survey of shoppers, each shopper bought one of two brands of detergent, \(X\) or \(Y,\) in the first month and again bought one of these brands in the second month. In the survey, \(90\) percent of the shoppers who bought Brand \(X\) in the first month bought Brand \(X\) again in the second month, while \(60\) percent of the shoppers who bought Brand \(Y\) in the first month bought Brand \(Y\) again in the second month. What percent of the shoppers bought Brand \(Y\) in the second month?

(1) In the first month, \(50\) percent of the shoppers bought Brand \(X.\)

(2) The total number of shoppers surveyed was \(5,000.\)

Answer: A

Source: Official Guide