The average of the marks of 30 boys is 88, and when the top two scores were excluded, the average marks reduced to 87.5. If the top two scores differ by 2, then the highest mark is :
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e 96
Explanation:
Total marks of 30 boys = 88 × 30 = 2640
(Average = sum of all term/number of terms)
when the top two scores were excluded, the average marks reduced to 87.5
Total marks of 28 boys = 87.5 × 28 = 2450
Sum of the top two score = 2640 - 2450 = 190 ---(1)
difference of two score = 2
Let the top score be x so 2nd top score = x - 2
From eq(1),
x + x - 2 = 190
x = 192/2 = 96