Question

Check whether the given ratios are equal i.e., they are in proportion. If yes, then write them in the proper form $₹10\mathrm{to}₹15\mathrm{and}4\mathrm{to}6$.

Answer 1

We have,

$₹10\mathrm{to}₹15\mathrm{and}4\mathrm{to}6$

$\begin{array}{rcl}₹10\mathrm{to}₹15& =& \frac{10}{15}\\ & =& \frac{10÷5}{15÷5}[\mathrm{Dividing}\mathrm{numerator}\mathrm{and}\mathrm{denominator}\mathrm{by}5]\\ & =& \frac{2}{3}\\ & =& 2:3\end{array}$

$\begin{array}{rcl}4\mathrm{to}6& =& \frac{4}{6}\\ & =& \frac{4÷2}{6÷2}[\mathrm{Dividing}\mathrm{numerator}\mathrm{and}\mathrm{denominator}\mathrm{by}2]\\ & =& \frac{2}{3}\\ & =& 2:3\end{array}$

We get, $₹10\mathrm{to}₹15=4\mathrm{to}6$

Thus, the given ratios are equal i.e. they are in proportion and proper form is $10:15::4:6$.