In an examination, there are 800 boys and 600 girls. 40% boys and 60% girls passed the examination. The percentage (correct to two decimal places) of failed students from the total students is:

51.43%

40% =\(\frac{2}{5}\) & 60% = \(\frac{3}{5}\) 

Total Number of Boys = 800 & Total Number of Girls = 600

Total passed students = \(\frac{2}{5}\) ×  800 + \(\frac{3}{5}\) ×  600

= 320 + 360 = 680

Total failed students = ( 800 + 600 ) - 680 = 720

Percentage of failed students = \(\frac{720}{1400}\)  × 100 = 51.428%

= 51.43%