Question

the cost of 3 whole 1 upon 4 metre of cloth is rupees 14 whole 5 upon 8 find the cost of the cloth per metre​

Answer 1

Step-by-step explanation:

$length \: of \: cloth \: = 3 \frac{1}{4} m \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{13}{4} m \\ cost \: of \: cloth \: =Rs \: 14 \frac{5}{8} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =Rs \: \frac{117}{8} \\ cost \: per \: metre \: = \frac{length \: of \: cloth}{cost \: of \: cloth} \\ = \frac{ \frac{13}{4} }{ \frac{117}{8} } = \frac{13}{4} \: \times \frac{8}{117} \: = \frac{2}{9} \\ hence \: cost \: per \: metre \: \\ cloth \: = Rs \: \frac{2}{9} .$