To find the day of the week for 1st August, we need to calculate the total number of days from 1st June to 1st August. \n\nNumber of days in June (after 1st June): June has 30 days. So, from 2nd June to 30th June, there are $30 - 1 = 29$ days.\nNumber of days in July: July has 31 days.\nNumber of days in August (up to 1st August): There is 1 day.\n\nTotal number of days $= 29 + 31 + 1 = 61$ days.\n\nNow, we divide the total number of days by 7 to find the remainder, which tells us how many days forward we need to count from the starting day (Saturday). $61 \div 7 = 8$ with a remainder of $5$. \n\nSo, we need to count 5 days forward from Saturday:\nSaturday + 1 day = Sunday\nSaturday + 2 days = Monday\nSaturday + 3 days = Tuesday\nSaturday + 4 days = Wednesday\nSaturday + 5 days = Thursday\n\nTherefore, 1st August will fall on a Thursday.