In atwo-month survey of shoppers, each shopper bought one of two brands ofdetergent, ~$X$~ or ~$Y$~, in the first month and again bought one of these brands inthe 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 percentof the shoppers who bought Brand ~$Y$~ in the first month bought Brand ~$Y$~ again inthe second month. What percent of the shoppers bought Brand ~$Y$~ in the secondmonth?

(1)  In the first month, 50 percent of theshoppers bought Brand ~$X$~.

(2)  The total number of shoppers surveyed was5,000.