Question

The ratio of Rs. 3 and 60 paise is
(A) 1:20
(B) 5:1
(C) 1:2
(D) 20:1

Answer 1

Hint: We have two amounts given. The first amount is Rs.3 and the second amount is 60 paise. First of all, convert the first amount into paise with the help of the relation, \[\text{Rs}\text{.}\,1=100\,\text{paise}\] . We have to find the ratio of the first amount and the second amount, \[\text{Ratio=}\dfrac{\text{First Amount}}{\text{Second Amount}}\]. Now, put the first amount and the second amount in the equation, \[\text{Ratio=}\dfrac{\text{First Amount}}{\text{Second Amount}}\] and solve it further.

Complete step-by-step answer:
According to the question, we have two amounts. One is Rs. 3 and the other is 60 paise. We have to find the ratio between these two amounts.
The first amount = Rs. 3 …………………(1)
The second amount = 60 paise ………………….(2)
We can see that the units of these two amounts are not same. So, we have to make the units of these two amounts in either Rs. or paise.
Let us convert the amount Rs. 3 into paise.
We know the relation between the Rs. and paise, \[\text{Rs}\text{.}\,1=100\,\text{paise}\] …………………..(3)
From equation (1), we have the amount in Rs. With the help of equation (3), we can convert Rs. 3 into paise.
Now, using (3) and converting the amount in equation (1) into paise we get,
The first amount = Rs. 3 = \[3\times 100\] paise = 300 paise ………………(4)
We have to find the ratio of the first amount and the second amount.
\[\text{Ratio=}\dfrac{\text{First Amount}}{\text{Second Amount}}\] ……………………(5)
From equation (4), we have the value of the first amount and from equation (2) we have the value of the second amount.
Now, putting the value of the first amount and the second amount in equation (5), we get
\[\text{Ratio=}\dfrac{300\text{ paise}}{60\text{ paise}}=\dfrac{5}{1}\]
Therefore, the ratio of Rs. 3 and 60 paise is 5:1.
Hence, the correct option is (B).

Note: We can also solve this by converting the second amount that is, 60 paise into Rs.
The The first amount = Rs. 3 …………………(1)
The second amount = 60 paise ………………….(2)
We know the relation between the Rs. and paise, \[\text{Rs}\text{.}\,1=100\,\text{paise}\] .
\[\text{Rs}\text{.}\,1=100\,\text{paise}\]
\[\Rightarrow 1\text{ paise=}\dfrac{\text{Rs}\text{. 1}}{100}\] ………………….(3)
Using equation (3) and converting 60 paise into Rs, we get
The second amount = 60 paise = Rs. \[\dfrac{60}{100}\] = Rs. 0.6 ………………(4)
Now, \[\text{Ratio=}\dfrac{\text{First Amount}}{\text{Second Amount}}\]
 \[\text{Ratio=}\dfrac{\text{Rs}\text{. 3}}{\text{Rs}\text{. 0}\text{.6}}=\dfrac{30}{6}=\dfrac{5}{1}\] .
Therefore, the ratio of Rs. 3 and 60 paise is 5:1.
Hence, the correct option is (B).