34% of white college students lied about their race to improve chances of admission, financial aid benefits
US-focused (i.e 'college' = university) and the survey wasn't particularly scientific, consisting of Intelligent asking 1,250 white college applicants ages 16 and older if they lied on their application by indicating they were a racial minority.
The most popular racial minority to selfID as, was, perhaps not surprisingly, Native American, perhaps echoing the success that Elizabeth Warren had with this strategy. Identifying as Latino came second at 10% of respondents and selfID'ing as Black attracted 10%.
Seventy-seven percent of people who claimed to be a racial minority on their applications were accepted by the colleges to which they lied.
It would be interesting to determine if any equivalent UK-focused survey has been performed.