The average of runs of a cricket player of 10 innings was

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The average of runs of a cricket player of 10 innings was 32. How many runs must he make in his next inning so as to increase his average of runs by 4 ?

1. 76
2. 70
3. 4
4. 2

Correct Option: A

Let the batsman make p runs.
Total runs in 10 innings = 10 × 32 = 320

∴	320 + p	= 32 + 4
	11

⇒ 320 + p = 36 × 11
⇒ p = 396 – 320 = 76
Second method to solve this question with the help of given formula :
Here, T = 32, N = 11, t = 4
Required Run = T + Nt [Here N is taken as (n + 1)]
Required Run = 32 + 11 × 4
Required Run = 32 + 44 = 76