A candidate scores 27% and fails by 30 marks, while another candidate scores 38% marks and pass by 14 marks. Find the passing percentage of the examination.

34.5% 38.5% 35% 36%

34.5%

Let the total marks = x ATQ, x × ( 38 - 27) % = 30 + 14 = 44 x = 400 38 % of 400 = 152  ( 2nd candidate scored 38 % marks and pass by 14 ) Passing marks (152-14) = 138 Passing marks percentage = \(\frac{138}{400}\) x 100 = 34.5 %