Question

Express the following ratio in simplest form:
75paise: 3Rs

Answer 1

Hint: According to the question, we have to find the ratio in the simplest form of 75paise: 3rupees. So, first of all we have to convert both the quantities in the same units.
For example: 1 rupees = 100 paise
So, from above example, we have to convert 3 rupees into paise then we can find the ratio between the ratios by taking H.C.F method that is mentioned below:
H.C.F method: In this method we divide the highest common factor of both numbers that are converted in the same units.

Complete answer:
Step 1: first of all we have to convert both the quantities in the same units.
We know that 1 rupees = 100 paise
So, 3 rupees = 300 paise
Hence, we get the ratio in the following ways:
$ \Rightarrow 75paise:300paise.............................(1)$
Step 2: Now, we have to use the H.C.F method to find the desired ratio.
So, in the ratio (1) obtained in the step 1. The highest common factor of 75 and 300 is 75
So, we can divide the 75 in both the ratio (1) obtained in the step 1.
Hence, we get:
$
   \Rightarrow \dfrac{{75}}{{75}}:\dfrac{{300}}{{75}} \\
   \Rightarrow 1:4 \\
 $

Hence, the simplest form of the ratio 75 paise : 3 rupees is 1 : 4

Note:
To find the ratio between any two quantities we have to convert the both quantities in the same unit.
After converting both quantities in the same unit we have to solve the ratio by using H.C.F method