### 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 Apex Team)

\begin{array}{l}\text{Correct sum}\\ \text{= 36 × 100 + 90 – 40}\\ \text{= 3650}\\ \text{Correct average}\\ =\left(\Large\frac{3650}{100}\right)\\ \text{= 36.5}\\ \text{Error = (36.5 – 36) = 0.5}\\ \text{∴ Error %}\\ \begin{aligned}&=\left(\frac{0.5}{36.5}\times100\right)\%\\ &=\frac{100}{73}\%\\ &=1.36\%\end{aligned}\end{array}

A. 20
B. 21
C. 28
D. 32

A. 18
B. 20
C. 24
D. 30

A. 10 years
B. 10.5 years
C. 11 years
D. 12 years
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