I have heard Harvard and Yale have 2 tracks: 1 for those who pay the bills and the other for those who deserve to be there.
No, since income is positively correlated with IQ, and IQ is highly heritable, a disproportionate number of the smartest and high school students come from rich families, who are paying full freight. That's why even though 29% of Harvard students came from families with incomes of $250K+, including 14% from families with incomes of $500K+, the richest kids had the highest SAT scores on average, according to a survey of Harvard freshman:
http://www.thecrimson.com/article/2013/9/4/freshman-survey-admissions-aid/Freshman Survey Part II: An Uncommon App
The Crimson’s Survey of Freshmen Shines Light on Admissions, Financial Aid, and Recruiting
By LAYA ANASU and MICHAEL D. LEDECKY
September 4, 2013
On average, freshman respondents took the SAT 1.85 times, earning an average highest composite score of 2237. Students were more likely to take the SAT, and most respondents never took the ACT.
Standardized test scores varied along racial lines. East Asian and Indian respondents reported SAT averages of 2299, the two highest of the seven ethnic groups considered in the survey. Respondents who identified as Black and Native American reported the lowest average scores, 2107 and 2142, respectively.
Respondents’ highest SAT scores tended to go up with an increase in income bracket. Of the six income brackets represented in the survey, respondents who reported household incomes of more than $500,000 or between $250,000 and $500,000 earned the highest average SAT composite scores.
