There are 300 students in a college, each participating in different sports: chess, cricket, and volleyball. The number of students who play only chess is twice the number of students who play only chess and volleyball. The number of students who play only chess and volleyball is 20% less than the number of students who play only chess and cricket. 10% of the total students play all three sports, and this number is exactly half of the number of students who play only cricket. The number of students who play only volleyball is equal to the number of students who play only cricket and volleyball. The number of students who play only volleyball and the number of students who play only cricket and volleyball both is the same, which is 2/30 of the total student population.