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The average of runs scored by a player in 10 innings is 50. How many runs should he score in the 11th innings so that his average is increased by 2 runs?
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- 80 runs
- 72 runs
- 60 runs
- 54 runs
- 80 runs
Correct Option: B
Given , The average of runs scored by a player in 10 innings = 50
Let the number of runs scored in 11th innings be n.
According to question ,
∴ 10 × 50 + n = 11 × 52
⇒ 500 + n = 572
⇒ n = 572 – 500 = 72 runs
Second method to solve this question with the help of given formula :
Here, T = 50, N = (10 + 1) = 11, t = 2
Required Runs = T + Nt
Required Runs = 50 + 11 × 2 = 72
