Question

$6$ note-books cost $₹156$. Find the cost of $54$ such note-books.

Answer 1

Framing the table for given information

Let the cost of $54$ note-books be $₹x$.

Framing the table for given information:

Number of notebooks	$6$	$54$
Cost (in ₹)	$156$	$x$

Let $x_1=6\text{and}{x}_2=54$

$y_1=156\text{and}{y}_2=x$

Solve using direct variation relation

Here, number of books and cost of notebooks are forming direct variation.

$\therefore \frac{x_1}{y_1}=\frac{x_2}{y_2}$

$\Rightarrow \frac{6}{156}=\frac{54}{x}\Rightarrow x=\frac{54\times 156}{6}$

$\Rightarrow x=156\times 9=₹1404$

Therefore, the cost of $54$ such note-books is $₹1404$.