Question

Find the following ratios in the simplest form \[84paise\] to \[Rs.3\] .

Answer 1

Hint:Paisa and Rupees (Rs.) is basically the Indian currency. They are basically related as \[1Rs = 100paise\] . Now, we have to find the ratio which represents how many times one quantity contains the other. The ratio is always measured in the same units where either of the units is converted to make it similar to the other units as ratios are dimensionless.

Complete step by step solution:
For the ratio to be properly determined, the quantities should be in the same measuring unit. As both the quantities are in different units we need to convert either of the units to relate it to other by conversion of units.
Here, units are in Rupees and paise which is the units of Indian currency therefore, we will have to convert paise to Rupees or Rupees to paise to make the similar units.
Since, \[1Rs = 100paise\]
Therefore, we convert \[Rs.3\] to paisa,
 \[
3Rs. = 3 \times 100paisa \\
= 300paisa \\
\]
Now, both the quantities are in same unit so, we will find the ratio as we know the ratio of two quantities $ a $ and $ b $ is represented as \[\dfrac{a}{b}\]
So, \[84paisa\] and \[300paisa\] can be represented as:
 \[\dfrac{{84}}{{300}} = \dfrac{{21}}{{75}} = \dfrac{7}{{25}}\]

Hence, the ratio of \[84paisa\] and \[300paisa\] will be \[\dfrac{7}{{25}}\] also represented as 7:25.

Note: To find the ratio between the quantities we need to bring the quantities to the same units to eliminate any confusion and divide the quantities to determine the ratio. In this question since paisa and rupees were in different quantities so we converted them in the same form to find their ratios.