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The Cost of 2 1 3 Metres of Cloth is Rs. 75 1 4 . Find the Cost of Cloth per Metre. - Mathematics

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Question

The cost of \[2\frac{1}{3}\] metres of cloth is Rs. \[75\frac{1}{4} .\]Find the cost of cloth per metre.

Sum

Solution

\[\text{The cost of 2}\frac{1}{3} \text{metres of cloth is Rs} 75\frac{1}{4} . \]
\[ \therefore \text{Cost per metre =} 75\frac{1}{4} \div 2\frac{1}{3}\]
\[ = \frac{301}{4} \div \frac{7}{3}\]
\[ = \frac{301}{4} \times \frac{3}{7}\]
\[ = \frac{129}{4}\]
\[ = \text{Rs}\ 32\frac{1}{4} \]
\[\text{Thus, Rs}\ 32\frac{1}{4} \text{or Rs}\ 32 . 25 \text{is the cost of cloth per metre .} \]

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Chapter 1: Rational Numbers - Exercise 1.7 [Page 36]

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RD Sharma Mathematics [English] Class 8
Chapter 1 Rational Numbers
Exercise 1.7 | Q 11 | Page 36

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