Question

Complete the following:
The ratio of \[45{\text{ }}paise\] to \[\;3 RS\] \[ = \]\[45{\text{ }}paise\] to ….. paise or \[45:\] …….
Lowest form \[ = \] ……..

Answer 1

Hint: To solve this question, the first step should be to make the antecedent and consequent of the same unit. Now after dividing both with the same number we will get the required ratio in lowest form.

Complete step-by-step answer:
We have been given, ratio of \[45{\text{ }}paise\] to ₹ \[3.\] So, the antecedent of the given ratio is \[45{\text{ }}paise\] and consequent of the given ratio is ₹ \[3.\]
But in ratio we know that, both the antecedent and consequent has to be of the same unit.
So, we have to make the unit of both antecedent and consequent the same.
We know that, by INR system\[:\] ₹\[1{\text{ }} = {\text{ }}100{\text{ }}paise.\]
So, ₹\[3{\text{ }} = {\text{ }}3 \times 100{\text{ }} = {\text{ }}300{\text{ }}paise.\]
We get both antecedent and consequent of the same unit. Now, we will express it in the lowest form possible.
So, ratio of \[45{\text{ }}paise{\text{ }}:{\text{ }}300{\text{ }}paise{\text{ }} = {\text{ }}45:300\]
\[\begin{array}{*{20}{l}}
  { = {\text{ }}9:60} \\
  { = {\text{ }}3:20}
\end{array}\]
Thus, The ratio of \[45{\text{ }}paise\] to ₹\[\;3\] \[ = \]\[45{\text{ }}paise\] to …\[300\].. paise or \[45:\] …\[300\]….
Lowest form \[ = \] …\[3:20\]…..

Note: The first term of ratio is called antecedent and second term of ratio is called consequent. For example - \[2:3,\] here \[2\] is called antecedent and \[3\] is called consequent.