Question

The ratio of Rs. 1 to 60 paise is
A.\[5:4\]
B.\[5:2\]
C.\[5:3\]
D.\[{\rm{None}}\]

Answer 1

Hint: Here, we have to find the ratio between the given quantities. First, we have to check whether the two quantities are in the same dimensions. If the dimensions are the same, then we can simplify directly. If the dimensions are not in the same dimensions, then we have to convert it to the same dimensions, then simplify to get the ratio.

Complete step-by-step answer:
We have to find the ratio of Rs. 1 to 60 paise.
Since the first quantity is in rupees and the second quantity is in paise, the quantity which has larger dimension should be converted to smaller dimension.
So, Rupees are converted into Paise.
Rupee \[1\] has \[10\] times \[10\] Paise.
\[{\mathop{\rm Re}\nolimits} 1 = 10 \times 10 = {\rm{100 paise}}\].
Now, the ratio can be found \[{\rm{100 paise:60 paise}}\] .
\[{\rm{Ratio}} = \dfrac{{100}}{{60}}\]
By reducing a ratio, we get
\[ \Rightarrow {\rm{Ratio}} = \dfrac{5}{3}\]
So, now in ratio, we have
\[ \Rightarrow 100:60 = 5:3\]
Therefore, the ratio of Rs. 1 to 60 paise is \[5:3\] .

Note: A ratio is a comparison of two or more numbers that indicates their sizes in relation to each other.
Reducing a ratio means converting the ratio to its simplest form. If the ratio of the two numbers is \[a:b\], the numbers can be assumed to be \[ak\] and \[bk\], where \[k\] is a constant. When all the elements of a ratio are multiplied or divided by the same number, the resulting ratio is equal to the original ratio.