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