Question

A batsman in his 20^th innings makes a score of 110 and thereby increases his average by 4. What is his average after 20^th innings ?
1. 30
2. 34
3. 36
4. 43

Answer 1

Correct Answer - Option 2 : 34

Given:

A batsman in his 20^th innings makes a score = 110

His average increases = 4

Calculation:

Let his average in 19 innings = x

Total score = 19 × x = 19x

Score in next innings = 110

Score after 20^th inning = 19x + 110

Average = 19x + 110/20 = x + 4 [given]

⇒ 19x + 110 = 20x + 80

⇒ x = 30

Average after 20 innings = x + 4

⇒ 30 + 4

⇒ 34

∴ His average after 20^th innings is 34