While calculating the average of a batsman as 36 in 100 matches that he played, one of the scores 90 was incorrectly noted as 40. The percentage error is-

A. 0.5%

B. 1.21%

C. 1.34%

D. 1.36%

Answer: Option D

Solution(By Examveda Team)

Correct sum
= 36 × 100 + 90 - 40
= 3650
Correct average
= $$\frac{3650}{100}$$
= 36.5
Error = (36.5 - 36) = 0.5
∴ Error %
= ( $$\frac{0.5}{36.5}$$ × 100 )%
= $$\frac{100}{73}$$%
= 1.36%