Answer:
Parentals: PP (purple) and pp (white)
F1: Pp (purple)
Explanation:
When the two parental plants of differing phenotypes (purple or white flowers) cross, the F1 is 100% purple. This result suggests that the parentals were true breeding (homozygous), with purple flowers being the dominant allele.
When the F1 self pollinates, the F2 shows proportions very similar to 3/4 purple and 1/4 white (401/532 ≅ 3/4 and 131/532 ≅ 1/4). The 3:1 phenotypic ratio is typical of the offspring resulting from a cross between two heterozygous individuals.
The results make sense if the genotypes of the different generations are:
Parentals: PP (purple) X pp (white)
F1: Pp (purple)
F2: 1/4 PP, 2/4 Pp, 1/4 pp