AHSME 1951 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: $\textbf{(A)}\ \text{greater by }.18 \textbf{(B)}\ \text{the same} \textbf{(C)}\ \text{less}$ $\textbf{(D)}\ 10 \text{ times as great} \textbf{(E)}\ \text{correctly described by both (A) and (D)}$