Question

if the cost of m metre of cloth is rupees y find the cost of 4 metre of cloth

Answer 1

Answer:

$\red { Cost \:of \: 4 \: m \:cloth}\green {=\frac{4y}{m}}$

Step-by-step explanation:

$We \: know \: that \: if \: the \: length \: of \\ cloth \: increases \: then \: the \: cost \: also \\increases .$

$Therefore, \: Length \: of \: cloth \: directly \\varies \: with \: the \: cost\: of \: the \: cloth$

$x_{1} = m \: metre , \: x_{2} = 4 \:metre$

$y_{1} = Rs \: y , \: y_{2} = \red {?} \:Rs$

$So, \: \frac{x_{1}}{y_{1}} = \frac{x_{2}}{y_{2}}$

$\implies \frac{ m}{y} = \frac{4}{y_{2}}$

$\implies y_{2} = \frac{4y}{m}$

Therefore.,

$\red { Cost \:of \: 4 \: m \:cloth}\green {=\frac{4y}{m}}$

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