High School

We appreciate your visit to What is the cost of 1 metre of cloth if the cost of 3 tex frac 2 5 tex metres of cloth is 88 tex. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

What is the cost of 1 metre of cloth if the cost of 3 [tex]\frac{2}{5}[/tex] metres of cloth is ₹88 [tex]\frac{1}{2}[/tex]?

Answer :

To find the cost of 1 metre of cloth, we first need to understand the problem and use unitary method which is a simple way to find out the cost of a single unit. Here, we are given that the cost of 3 2/5 metres of cloth is ₹88 1/2.

Step-by-step Solution:

  1. Convert Mixed Numbers to Improper Fractions:

    • The length of the cloth is given as 3 2/5 metres.

      • Convert 3 2/5 to an improper fraction:

        (
        3\frac{2}{5} = \frac{3 \times 5 + 2}{5} = \frac{15 + 2}{5} = \frac{17}{5}
        )

    • The cost of the cloth is given as ₹88 1/2.

      • Convert 88 1/2 to an improper fraction:

        (
        88\frac{1}{2} = \frac{88 \times 2 + 1}{2} = \frac{176 + 1}{2} = \frac{177}{2}
        )

  2. Find the Cost of 1 Metre of Cloth:

    • Use the formula: [tex]\text{Cost per metre} = \frac{\text{Total Cost}}{\text{Total Metres}}[/tex]

    • Substitute the values:

      [tex]\text{Cost per metre} = \frac{\frac{177}{2}}{\frac{17}{5}} = \frac{177}{2} \times \frac{5}{17}[/tex]

    • Simplify the expression:

      [tex]\frac{177 \times 5}{2 \times 17} = \frac{885}{34}[/tex]

    • Perform the division to calculate the cost:

      [tex]\text{Cost per metre} = 26.0294...[/tex]

    • Rounded, the cost of 1 metre of cloth is approximately ₹26.03.

Therefore, the cost of 1 metre of cloth is ₹26.03.

Thanks for taking the time to read What is the cost of 1 metre of cloth if the cost of 3 tex frac 2 5 tex metres of cloth is 88 tex. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada