Question

A piece of cloth is 5-metre long. After washing, it shrinks by $\frac{1}{25}$ of its length. What is the length of the cloth after washing?

• A. $4\frac{4}{5}$ m
• B. $2\frac{4}{5}$ m
• C. $4\frac{6}{5}$ m
• D. $4\frac{4}{7}$ m

Answer 1

The correct option is A $4\frac{4}{5}$ m

Length of a piece of cloth = 5 metre

After washing, length shrinks = $\frac{1}{25}$ of its length

Hence, shrunk cloth = $\frac{1}{25}$ of 5 m
= $\frac{1}{5}$ m

Length of cloth after washing
= 5 - $\frac{1}{5}$
= $\frac{25-1}{5}$ = $\frac{24}{5}$ = $4\frac{4}{5}$ m

Therefore, the length of the cloth
= $4\frac{4}{5}$ m