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Mathematics

Advertising in a magazine costs ₹1472251472\dfrac{2}{5} per square inch. Find the cost of an advertisement of 176717\dfrac{6}{7} square inch.

Fractions

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Answer

Cost of an advertisement of 1 square inch = ₹147225=736251472\dfrac{2}{5} = ₹\dfrac{7362}{5}

Cost of an advertisement of 176717\dfrac{6}{7} square inch = ?

Area of an advertisement = 176717\dfrac{6}{7} square inch

Cost of an advertisement of 176717\dfrac{6}{7} square inch = (Cost of an advertisement of 1 square inch) x (Area of an advertisement)

Substituting the values in above, we get:

=(73625×1767)=(73625×1257)[Converting mixed to improper fraction]=(73621×257)=(7362×251×7)=1840507=2629267[Converting improper fraction to mixed fraction]\begin{array}{ll} = ₹\Big(\dfrac{7362}{5} \times 17\dfrac{6}{7}\Big) \\ = ₹\Big(\dfrac{7362}{5} \times \dfrac{125}{7}\Big) & \text{[Converting mixed to improper fraction]} \\ = ₹\Big(\dfrac{7362}{1} \times \dfrac{25}{7}\Big) \\ = ₹\Big(\dfrac{7362 \times 25}{1 \times 7}\Big) \\ = ₹\dfrac{184050}{7} \\ = ₹26292 \dfrac{6}{7} & \text{[Converting improper fraction to mixed fraction]} \end{array}

∴ The cost of an advertisement of 176717\dfrac{6}{7} square inch = ₹ 262926726292\dfrac{6}{7}.

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