Question

Find the ratio of Rs. 5 to 50 paise.

Answer 1

Hint: Ratio is taken between quantities having the same units. Convert the Rs. 5 into paise using the conversion factor 100 paise per rupees and then take the ratio.

Complete step-by-step answer:
A ratio is a quantitative relation between two amounts showing the number of times one value contains the other or is contained within the other. The ratio is always taken between quantities having the same units and the ratio itself has no units.
Rupees and paise belong to the Indian currency system. The rupee has a larger value than paise.
In this problem, we need to find the ratio of Rs. 5 to 50 paise.
We observe that the two quantities are not in the same units, one is in rupees and the other in paise. Hence, it is necessary to convert them into the same units before finding their ratio.
We know that one Indian rupee is equal to 100 paise.
Rs. 1 = 100 paise
Then the value of Rs. 5 in terms of paise is given as follows:
Rs. 5 = \[5 \times 100\] paise
Simplifying the above equation, we have:
Rs. 5 = 500 paise
Now, we have both the quantities in the same units. Hence, we find the ratio of Rs. 5 to 50 paise by dividing them.
Ratio = \[\dfrac{{500}}{{50}}\]
Ratio = \[\dfrac{{10}}{{1}}\]

Hence, the required ratio is $10:1$.

Note: You can also convert the 50 paise into rupees using the conversion factor 0.01 rupees per paise and then divide them to find the required ratio, we get the same answer. Students should be careful while calculating the ratio, it should be taken between quantities having the same units.