SSC CGL 2017 PYQ — Question 27

SSC CGL Tier II Quant - 12/01/2017 • Quantitative Aptitude • Q27

A batsman has a certain average of runs for 12 innings. In the 13th inning he scores 96 runs thereby increasing his average by 5 runs. What will be his average after 13th inning?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. 36

Understanding

Application

Suppose the average score of 12 innings = x

So,

Sum of runs of 12 inning = 12x

In the 13th inning, he scores 96 runs thereby increasing his average by 5 runs.

So,

12x + 96 = (x + 5) × 13

x = 31

Hence,

Average score of 12 inning = 31

And

Average score of 13 inning

= 31 + 5 = 36