Question

A batsman in his 16^th innings makes a score of 60 runs. This increases his average by 3. Find his average after the 16^th innings. 

1. 20 runs
2. 18 runs
3. 12 runs
4. 14 runs
5. 15 runs

Answer 1

Correct Answer - Option 5 : 15 runs

Given:

A batsman’s 16^th innings score = 60 runs

The average increases by = 3

Calculation:

Let the average after 16^th innings be x

The average after 15^th innings = (x – 3)

∴ According to the question:

⇒ 16x = 15 (x – 3) + 60

⇒ 16x = 15x – 45 + 60

⇒ 16x – 15x = 15

⇒ x = 15

∴ the batsman’s average after his 16^th innings is 15 runs.