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 ?
Options:
A . 70
B . 2
C . 76
D . 4
Answer: Option C Answer: (c)Let the batsman make x runs. Total runs in 10 innings = 10 × 32 = 320 ∴ ${320+x}/11$ = 32+4⇒ 320 + x = 36 × 11 ⇒ x = 396 – 320 = 76 Aliter : Using Rule 18,If in the group of N persons, a new person comes at the place of a person of 'T’ years, so that average age, increases by 't’ years Then, the age of the new person = T + N.t. Here, T = 32, N = 11, t = 4 Required Run = T + Nt [Here N is taken as (n + 1)] = 32 + 11 × 4 = 32 + 44 = 76
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