This was the solution I received, but I don't understand how the distribution was found from the percentage found below:

If the cars are evenly distributed among the 4 possibilities on a given day, we can assume that there are 25% of cars at each location (since 30% are still on loan). Using the given return statistics, we can calculate the distribution of cars the next day as follows:

• For cars rented from location 1:
  • 45%*25% = 11.25% returned to location 1
  • 25%*10% = 2.5% returned to location 2
  • 15%*10% = 1.5% returned to location 3
  • 45%*25% = 11.25% still on loan
• For cars rented from location 2:
  • 10%*25% = 2.5% returned to location 1
  • 25%*25% = 6.25% returned to location 2
  • 20%*25% = 5% returned to location 3
  • 45%*25% = 11.25% still on loan
• For cars rented from location 3:
  • 15%*25% = 3.75% returned to location 1
  • 15%*25% = 3.75% returned to location 2
  • 35%*25% = 8.75% returned to location 3
  • 35%*25% = 8.75% still on loan
• For cars still on loan:
  • 50%*25% = 12.5% returned to location 1
  • 15%*25% = 3.75% returned to location 2
  • 10%*25% = 2.5% returned to location 3
  • 25%*25% = 6.25% still on loan

Therefore, the distribution of cars the next day would be:

• 16.5% at location 1
• 13% at location 2
• 18.75% at location 3
• 51.75% still on loan