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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.