SSC CHSL 2020 PYQ — Question 58

SSC CHSL - 16th October 2020 - Shift 2 • Quantitative Aptitude • Q58

A player has a certain average for 15 innings. In the 16th inning he scores 120, thereby his average increases by 6 runs. What is the new average?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e 30.

Understanding/Application

Let the average of the player in 15 innings be x.

Sum of scores of the player in 15 innings = (15x)

In the 16th inning score of the player = 120

Sum of the scores of the player in 16 innings = 15x + 120

Average of the player in 16 innings = x + 6

Thus, 

(15x + 120)/16 = x + 6

15x + 120 = 16x + 96

x = 24

New average after 16 innings = x + 6 = 24 + 6 = 30