The average marks of 10 students on a class are 85. When the highest and the lowest marks are dropped, the average becomes 84. If the highest marks are 95, then find out the lowest marks.

A 85

B 78

C 60

D 89

E None of these

Correct Answer: Option E

Let the lowest marks be x.

Total marks of 10 students = 10 × 85 = 850

Now, on dropping highest and lowest, the average becomes 84.

Therefore, the total marks of remaining 8 = 8 × 84 = 672

Now the total marks are given by-

⇒ 850 = 672 + 95 + x

⇒ 850 = 767 + x

⇒ x = 850 – 767

⇒ x = 83

Hence, the lowest marks are 83.