Question

Check whether the given two ratios forms proportion or not:

$25:20$ and $15:10$

Answer 1

Two ratios forms proportion if their lowest terms are exactly same.

Given ratios are $25:20$ and $15:10$

Lowest term of ratio $25:20$ is obtained by dividing both term by their HCF $5$

$25:20$$=\frac{25}{20}=\frac{5}{4}$

Lowest term of ratio $15:10$ is obtained by dividing both term by their HCF $5$

$15:10$$=\frac{15}{10}=\frac{3}{2}$

Since lowest term for both given ratios are not same.

Hence, ratios $25:20$ and $15:10$ do not forms proportion.