Question

$\text{A cloth is 3 yd long out of which 12}$ $\text{inches are removed as scrap.}$
$\text{The useful length of the cloth is}$ $\text{inches.}$

• A. $112$
• B. $134$
• C. $105$
• D. $96$

Answer 1

The correct option is D $96$

$\text{Total length of the cloth}$ $\text{= 3 yards}$

$\text{1 yard = 36 inches}$


$\text{Let's calculate the total length}$ $\text{of the cloth first.}$

$⟹\text{1 yard = 36 inches}$

$⟹\text{3 yards = 36}\times 3\text{inches}$
$\text{= 108 inches}$

$\text{Out of 108 inches, 12 inches of}$ $\text{of the cloth is removed as scrap.}$

$\text{Hence, the useful length}$ $\text{of the cloth is:}$

$⟹\text{108 inches - 12 inches}$
$\text{= 96 inches}$

$\text{Thus, useful length of the cloth left}$ $\text{is 96 inches.}$