The average marks of eight students in the Mathematics exam are 75. If the highest and lowest marks are removed, then the average marks become 80. If the ratio of the highest marks to the lowest marks is 3 : 1, then the highest marks are what percentage of the sum of the marks obtained by the eight students in the Mathematics exam?

QuestionThe average marks of eight students in the Mathematics exam are 75. If the highest and lowest marks are removed, then the average marks become 80. If the ratio of the highest marks to the lowest marks is 3 : 1, then the highest marks are what percentage of the sum of the marks obtained by the eight students in the Mathematics exam?
Typemultiple_choice
Option15%correct
Option18%incorrect
Option20%incorrect
Option12%incorrect
SolutionSum of lowest and highest marks=
8 x 75 – 6 x 80 = 120 Highest marks = 120 x 3 / 4 = 90
Required percentage = 90/8x75x100=15%
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