KnowledgeBoat Logo
|

Mathematics

If a cloth costs ₹71514715\dfrac{1}{4} per metre, find the cost of 3253\dfrac{2}{5} metres of this cloth.

Fractions

1 Like

Answer

Cost of 1 meter of cloth = ₹71514=28614715\dfrac{1}{4} = ₹\dfrac{2861}{4}

Cost of 3253\dfrac{2}{5} meters of cloth = ?

Length of cloth = 325 meters=1753\dfrac{2}{5} \text{ meters} = \dfrac{17}{5} meters

Cost of 3253\dfrac{2}{5} meters of cloth = (Cost of 1 meter of cloth) x (Length of cloth)

Substituting the values in above, we get:

=(28614×175)=(2861×174×5)=4863720=24311720[Converting improper to mixed fraction]\begin{array}{ll} = ₹\Big(\dfrac{2861}{4} \times \dfrac{17}{5}\Big) \\ = ₹\Big(\dfrac{2861 \times 17}{4 \times 5}\Big) \\ = ₹\dfrac{48637}{20} \\ = ₹2431\dfrac{17}{20} & \text{[Converting improper to mixed fraction]} \end{array}

∴ The cost of 3253\dfrac{2}{5} meters of cloth = ₹ 243117202431\dfrac{17}{20}.

Answered By

1 Like


Related Questions