Question

A player has a certain average for 15 innings. In the 16^th inning he scores 120, thereby his average increased by 6 runs. What is the new average?
1. 8
2. 30
3. 20
4. 24

Answer 1

Correct Answer - Option 2 : 30

Given:

Score in 16^th innings is 120

Increase in average is 6

Formula Used:

Total score = Average × No. of Innings

Calculations:

Let the initial average be ‘k’

⇒ New average = k + 6

⇒ Total Score after 15 innings = 15k

⇒ Total Score after 16 innings = 16(k + 6) = 16k + 96

⇒ 15k + 120 = 16k + 96

⇒ k + 6 = 30

∴ New Average = k + 6 = 30