Discussion of Question with ID = 089 under Averages

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Question

Average marks of class of 28 students is 51. What will be the average if each student is given 7 as grace marks?

A

58.

B

59.

C

57.

D

56.

Soln.
Ans: a

Let the total score of the class before grace marks be x. Then, by average formula $51 = x/28$, which gives x = $51 × 28 = 1428$. When grace marks = 7 are added for each of the 28 students, the new total becomes $1428 + 28 × 7 = 1624$, the new average becomes $1624/28 = 58$. TIP: As a shortcut, the new average = old average + grace marks.

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