1951 AHSME Problem 7

An error of .02" is made in the measurement of a line 10" long, while an error of only .2" is made in a measurement of a line 100" long. In comparison with the relative error of the first measurement, the relative error of the second measurement is:

\textbf{(A) \ } \text{greater by }.18 \qquad\textbf{(B) \ } \text{the same} \qquad \textbf{(C) \ } \text{less} \qquad\textbf{(D) \ } 10\text{ times as great} \qquad\textbf{(E) \ } \text{correctly described by both}

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.