The amount that cloth maker lose is \(\boxed{\$ 53140}.\)
Further explanation:
Given:
The clothing maker bought of this fabrics.
Explanation:
\(\boxed{1{\text{tepiz}} = 0.625{\text{ dollar}}}.\)
Clothing maker paid \(400{\text{tepiz}}\) for \(1{\text{ }}{{\text{m}}^2}.\)
\(\boxed{0.9144{\text{ m}} &= 1{\text{ yard}}}.\begin{aligned}1{\text{yar}}{{\text{d}}^2} &= {0.9144^2}{\text{ }}{{\text{m}}^2}\\&={\text{ 0}}{\text{.8361 }}{{\text{m}}^2}{\text{ }}\\\end{aligned}\)
Total tepizes can be obtained as foll\(500{\text{ }}{{\text{m}}^2}\)ows,
\(500{\text{ }}{{\text{m}}^2} \times \dfrac{{400}}{{{{\text{m}}^{\text{2}}}}} = 200000{\text{ tepizes}}\)
The area in yards can be calculated as follows,
\(500{\text{ }}{{\text{m}}^2} \times \dfrac{{1{\text{ yar}}{{\text{d}}^2}}}{{0.8361{\text{ }}{{\text{m}}^2}}} = 598{\text{ yar}}{{\text{d}}^2}\)
The cost of \(1{\text{yar}}{{\text{d}}^2} \;\text{is}\; \$ 120.\)
The cost for \(598{\text{yar}}{{\text{d}}^2}\) can be obtained as follows,
\(598{\text{yar}}{{\text{d}}^2} \times \dfrac{{120}}{{{\text{yar}}{{\text{d}}^2}}} = 71760\)
Now convert tepiz to dollar.
\(200000 \times 0.625{\text{ dollars}} = \$ 125000\)
Loss can be calculated as follows,
\(\begin{aligned}{\text{Loss}} &= 125000 - 71760\\&= \$ 53140\\\end{aligned}\)
The amount that cloth maker lose is \(\boxed{\$ 53140}.\)
Learn more:
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Answer details:
Grade: High School
Subject: Mathematics
Chapter: Mensuration
Keywords: Cylinder, surface area of the cylinder, volume of the cylinder, right cylinder, height, radius depth.