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In an examination, the average marks of the entire class was 70. If average marks scored by 10% of the students was 95 and average marks scored by other 20% of the students was 20, then what was the average marks of the remaining students of the class? (correct to one decimal place) |
78.7% 80.2% 80.7% 82.5% |
80.7% |
Let Total number of students in a class = 100 Sum of marks of whole class = 100 × 70 = 7000Sum of marks of 10% of students = \(\frac{10}{100}\)× 100 × 95 = 950
Sum of marks of 20% of students = \(\frac{20}{100}\)× 100 × 20 = 400
Remaining = 100 - ( 30 ) = 70 Let average of remaining 70 students = x According to question ,950 + 400 + 70x = 7000
70x = 7000 - 1350
70x = 5650
x = \(\frac{5650}{70}\) = 80.71
So, average marks of the remaining students of the class = 80.71% |
