Find the cost of 3/5 of cloth of one metre cloth cost rs 871/2

Mathematics

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Step-by-step solution

4 steps

let's find the cost.

  1. Convert the cost of one metre of cloth from a mixed fraction to an improper fraction.

    Cost of 1 metre of cloth = Rs 871287\frac{1}{2}

    8712=(87×2)+12=174+12=175287\frac{1}{2} = \frac{(87 \times 2) + 1}{2} = \frac{174 + 1}{2} = \frac{175}{2}

    So, the cost of 1 metre of cloth is Rs 1752\frac{175}{2}.

  2. Calculate the cost of 35\frac{3}{5} m of cloth.

    To find the cost, multiply the length of cloth by the cost per metre.

    Cost=35×Cost of 1 metre\text{Cost} = \frac{3}{5} \times \text{Cost of 1 metre} Cost=35×1752\text{Cost} = \frac{3}{5} \times \frac{175}{2}
  3. Perform the multiplication.

    Cost=3×1755×2\text{Cost} = \frac{3 \times 175}{5 \times 2} Cost=52510\text{Cost} = \frac{525}{10}
  4. Simplify the fraction to a decimal or a mixed number.

    Cost=52.5\text{Cost} = 52.5

    or

    Cost=5212\text{Cost} = 52\frac{1}{2}

    The cost of 35\frac{3}{5} m of cloth is Rs 52.50 or Rs 521252\frac{1}{2}.

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