Question

Find the cost of $3\frac{1}{2}m$ cloth, if one metre cloth costs $Rs.325\frac{1}{2}$

Answer 1

Converting the given mixed fraction into improper fraction

Given,
Cost of one metre cloth $=Rs.325\frac{1}{2}$

$=Rs.\frac{2\times 325+1}{2}$

$=Rs.\frac{651}{2}$

Length of the cloth $=3\frac{1}{2}m$

$=\frac{3\times 2+1}{2}m$

$=\frac{7}{2}m$

Finding the cost of required cloth

Cost of $\frac{7}{2}m$ cloth $=$ Cost of one metre cloth $\times$ Length of the cloth

$=\frac{651}{2}\times \frac{7}{2}$

$=\frac{651\times 7}{2\times 2}$

$=\frac{4557}{4}$


$=Rs.1139\frac{1}{4}$

Hence, the cost of $3\frac{1}{2}m$ cloth is $Rs.1139\frac{1}{4}$.