Directions: Answer the questions based on the information given below.
The data given below is regarding a city in which a certain number of people have their own vehicles (car, bike, and bicycle) and each person can own one or more than one vehicles. z% of the total number of people have both car and bike but not bicycle. The number of people who have only bike is 10z% of the number of people who have car only. The ratio between the number of people who have both bike and bicycle but not car and the number of people who have bicycle only is k : (k + 1) respectively. The number of people who have both car and bike but not bicycle is 3p% of the number of people who have both car and bicycle but not bike and (4z - 2)% of the number of people who own car only. The number of people who have all three vehicles is p% of the number of people who own bike only.
Some additional information is also known:
(1) Total number of people who have their own vehicle in the city = (zp)2 - 10000
(2) (z - 3k)2 = p
(3) If y! = y3 - y then p = y2