After 10 innings the average score per innings of a batsman was 52. After 12 innings the average rose to 54. If the batsman had scored 16 more runs in the 12th innings than in the previous one, how many runs did he score in the 11th innings?

Question

Question

This question was previously asked in

RRB ALP CBT I 14 Aug 2018 Shift 1 Official Paper

Answer 1

Given:

The average score after 10 innings = 52

The average score after 12 innings = 54

The Batsman scored 16 more runs in the 12th innings than the previous innings

Formula used:

Average = Sum of observations/Number of observations

Calculation:

Let the score of batsman in 11th innings be x

Let the score of batsman in 12th innings more than the previous innings be (x + 16)

The average score after 10 innings = (52 × 10) = 520

The average score after 12 innings = (54 × 12) = 648

According to the question

⇒ (520 + x + x + 16) = 648

⇒ (536 + 2x) = 648

⇒ 2x = (648 – 536)

⇒ 2x = 112

⇒ x = (112/2)

⇒ x = 56

∴ He scored 56 runs in his 11th innings.

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