Question

A batsman scored 100 runs in his 15^th innings. Due to this, his average increased by 2 runs then his current average is?
1. 72
2. 75
3. 60
4. 70

Answer 1

Correct Answer - Option 1 : 72

Given:

A batsman scored 100 runs in his 15^th innings. Due to this, his average increased by 2 runs

Formula Used:

Old average × Old number of terms + New term = New average × New number of terms

Calculation:

Let his current average is = x

⇒ His old average must be x – 2 till 14^th innings [∵ average has now increased by 2]

According to question

(x – 2) × 14 + 100 = x × 15

⇒ 14x – 28 + 100 = 15x

⇒ x = 72

∴ Current average of batsman is 72 runs