Discussion of Question with ID = 091 under Averages

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Question

Average marks of class of 10 students is 62. What will be the average if each student is given 8 as grace marks?

A

70.

B

71.

C

69.

D

68.

Soln.
Ans: a

Let the total score of the class before grace marks be x. Then, by average formula $62 = x/10$, which gives x = $62 × 10 = 620$. When grace marks = 8 are added for each of the 10 students, the new total becomes $620 + 10 × 8 = 700$, the new average becomes $700/10 = 70$. TIP: As a shortcut, the new average = old average + grace marks.


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