In a society, people like three types of music: jazz, rock, and folk. The number of people who like only jazz and only rock are in the ratio 4:3. The ...

In a society, people like three types of music: jazz, rock, and folk. The number of people who like only jazz and only rock are in the ratio 4:3. The number of people who like all three types is 15. The number of people who like only folk is 50. The total number of people who like jazz is 140. The number of people who like both jazz and folk is 20. The number of people who like both rock and folk is 50% more than those who like both jazz and folk. The number of people who like both jazz and rock is the average of the number of people who like both jazz and folk and both rock and folk. What is the total number of people who like rock music as a percentage of the total number of people who like only folk music?