Question

What is compound ratio and give an example?

Answer 1

Hint: Here in this question, we have to explain the compound ratio by giving an one example. For this, first we need to know the definition, types and components of ratios then we can easily explain about the definition and importance of compound ratios with examples.
Ratio is a comparison of two or more numbers that indicates their sizes in relation to each other. A ratio compares two quantities by division. Or The division or fraction of the first quantity and second quantity is called ratio.

Complete step-by-step answer:
If the ratio of a and b can be expressed as $$a:b$$ or $$\dfrac{a}{b}$$.
The first quantity of the ratio is called antecedent whereas the second quantity of the ratio is called consequent.
“When two or more ratios are multiplied term wise, the resultant ratio thus obtained is called compound ratio”.
Example:
If $$a:b$$ and $$c:d$$ are the two ratios then its compound ratio is $$a \times c:b \times d$$ or $$ac:bd$$.
And the ratio $$a:b$$, $$c:d$$ and $$e:f$$ then the compound ratio is $$ace:bdf$$.
Similarly
For ratios $$m:n$$ and $$p:q$$ then the compound ratio is $$mn:pq$$
For ratios $$m:n$$, $$p:q$$ and $$r:s$$ then the compound ratio is $$mnr:pqs$$.

Note: If any number multiplied with both antecedent and consequent of any ratio the value of remain unchanged the resultant ratio called as equivalent ratio. If we verify the ratios . The ratios are equivalent means it should satisfies the condition and it is given as $$\dfrac{a}{b} = \dfrac{c}{d} \Leftrightarrow ad = bc$$, where the a, b, c and d are the real values.