SSC & BANK EXAMS: QUANTITATIVE APTITUDE · AVERAGES

Averages: replacement and batting average

If the average of n items rises by x when one is replaced, the new item = old item + n·x. Batting: new average = runs in last innings − (old innings × increase).

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Worked examples

Example 1 · level 1

The average weight of 8 players of a kabaddi team increases by 1 kg when a player weighing 59 kg is replaced by a new player. What is the weight of the new player (in kg)?

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Total weight rises by 8 × 1 = 8 kg.
New player = 59 + 8 = 67 kg.

Answer: 67 kg

Example 2 · level 2

The average weight of 5 players of a kabaddi team increases by 5 kg when a player weighing 70 kg is replaced by a new player. What is the weight of the new player (in kg)?

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Total weight rises by 5 × 5 = 25 kg.
New player = 70 + 25 = 95 kg.

Answer: 95 kg

Example 3 · level 3

Rohit scores 85 runs in the 13th innings, and this increases the batting average by 5. What is the batting average after the 13th innings?

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Old total = 12A; new total = 12A + 85 = 13(A + 5).
So 85 = A + 65, giving A = 20.
New average = 20 + 5 = 25.

Answer: 25