Answer:
35%
Explanation:
Let us assume that the number of contestants = N.
The fractions are given as --
"3 out of 8"
"1 out of 5"
"2 out of 9"
"1 out of 10"
Hence the no. of contestants in the competitions is in the multiples of 8, 5, 9 and 10.
Therefore the least common multiple of the numbers 8, 5, 9 and 10 is 360.
Therefore the number of contestants should be a multiple of 360.
Now, let N = 360 p
Firstly, 3 out of 8 students fell and gave up and so remaining 5 out of 8 passed. That is (5/8) x 360 p = 225 p passed.
Secondly, 1 out of 5 could not climb. Therefore, remaining 4 out of 5 climbed and passed. That is (4/5) x 225 p = 180 p passed.
Thirdly, 2 out of 9 dropped out. Thus remaining 7 out of 9 passed. That is (7/9) x 180 p = 140 p passed.
Fourthly, 1 out of 10 could not jumped and quit. Thus remaining 9 out of 10 passed. Therefore, (9/10) x 140 p = 126 p passed.
Therefore now fraction who finished is = 126 p / 360 p
= 126 / 360
= 21 / 60
= 7/20
Thus the fraction that finished is 7 / 20
Therefore percentage that finished is (7/20) x 100 = 35%
Thus 35% of the contestant made to the finish line.
