Complete years = 1947 i.e. 1600 + 300 + 47
Extra days in 1600 years = 0
Extra days in 300 years = 1
Number of leap years in these 47 years = 47/4 = 11
Extra days in 47 years (11 leap years & 36 normal years) = 11x2 + 36x1 = 22 + 36 = 58
And thus extra days are 58/7; Remainder is 2.
Extra days in the month of January (30 days) = 2.
Thus, total extra days = 0 + 1 + 2 + 2 = 5
So, the required day is Friday.