A graphic designer charges ₹$27\dfrac{3}{5}$ for each diagram. Find the amount he will charge if he designs 186 diagrams for a book.

Given:

Charge of 1 diagram = ₹$27\dfrac{3}{5} = ₹\dfrac{138}{5}$

Charge for 186 diagrams = ?

Number of diagrams = 186

Charge for 186 diagrams = (Charge of 1 diagram) x (Number of diagrams)

Substituting the values in above, we get:

$\begin{array}{ll} = ₹\Big(\dfrac{138}{5} \times 186\Big) \\ = ₹\Big(\dfrac{138 \times 186}{5 \times 1}\Big) \\ = ₹\dfrac{25668}{5} \\ = ₹5133\dfrac{3}{5} & \text{[Converting improper fraction to mixed fraction]} \end{array}$

∴ The charge for 186 diagrams = ₹ $5133\dfrac{3}{5}$.