In a recent civil service examination, 1/8 of the candidates failed the first part of the test.Of those eligible to take the second part of the competive examination, 2/7 successfully passed.What part of the original candidates were successful in the examination?

Answer 1

number of participants --- x
number passed first part = 7x/8
(failed = 1/8, so passed = 7/8)

number who passed 2nd test = (2/7)(7x/8) = (1/4)x

so 1/4 of the original passed the exam

check:
suppose 56 took the test
so 49 passed
of those (2/7)(49) or 14 passed
14/45 = 1/4

Answer 2

thank you