In a society, people like three different types of cars: A, B, and C. The ratio of people who like car A to car C is 29 : 42 29 : 42 29 : 42 , and the...

In a society, people like three different types of cars: A, B, and C. The ratio of people who like car A to car C is $29 : 42$, and the number of people who like only cars A and C together is one-fourth of the number of people who like only car B. The number of people who like only car C is 50 more than four times the number of people who like only cars A and B together. Ten people like all three types of cars, which is equal to the number of people who like only cars B and C together. The number of people who like only car C is twice the number of people who like only car A, and the total number of people who like car C is 210. Everyone likes at least one of the cars.

What percentage of people who like at least two cars like only cars A and C together?