Question

Determine if the following ratios, forms a proportion and also write the middle terms and extreme terms if the ratios are in proportion.
$25cm:1mandRs.40:Rs.160$

Answer 1

We know that,

$1m=100cm$

Now,

$\begin{array}{c}25cm=1m\\ =\frac{25cm}{1m}\\ =\frac{25cm}{100cm}\\ =\frac{25}{100}\\ =\frac{1}{4}\\ =1:4\end{array}$

$\begin{array}{c}Rs.40:Rs160\\ =\frac{Rs.40}{Rs.60}\\ =\frac{40}{160}\\ =\frac{4}{16}\\ =\frac{1}{4}\\ =1:4\end{array}$

$\therefore 25cm:1m=Rs.40:160$

So, given ratios are in a proportion

Here,

Middle terms $=1m,Rs.40$

Extreme terms $=25cm,Rs.160$