Question

A tailor had a piece of cloth 8m. He cut 3 smaller pieces of cloth each 3/4m from it.How much cloth is left?​
options are
a) 1/4m
b) 3/4m
​c) 2 1/4
d) 5 3/4

Answer 1

$$\begin{gathered} \mathrm{Total}\mathrm{length}\mathrm{of}\mathrm{the}\mathrm{cloth}=8\mathrm{m} \\ \mathrm{Now},\mathrm{the}\mathrm{tailor}\mathrm{cut}\mathrm{the}3\mathrm{smaller}\mathrm{pieces}\mathrm{from}\mathrm{it}\mathrm{each}\mathrm{of}\mathrm{length}\frac{3}{4}\mathrm{m}. \\ \mathrm{So},\mathrm{length}\mathrm{of}\mathrm{each}\mathrm{piece}=\frac{3}{4}\mathrm{m} \\ \mathrm{So},\mathrm{length}\mathrm{of}3\mathrm{smaller}\mathrm{pieces}=3\times \frac{3}{4}\mathrm{m}=\frac{9}{4}\mathrm{m} \\ \mathrm{Length}\mathrm{of}\mathrm{cloth}\mathrm{left}=8-\frac{9}{4} \\ =\frac{8\times 4}{1\times 4}-\frac{9}{4}\left[\mathrm{as},\mathrm{LCM}\mathrm{of}1\mathrm{and}4=4\right] \\ =\frac{32}{4}-\frac{9}{4} \\ =\frac{23}{4}\mathrm{m} \\ =5\frac{3}{4}\mathrm{m} \end{gathered}$$