Question

State true or false:
\[9\] paise is equal to \[Rs.0.09\].
a) \[True\]
b) \[False\]

Answer 1

Hint: In the given question we are asked to find if \[9\] paise is equal to \[Rs.0.09\]. To find this we have to convert paise into rupees. We know that our currency Rupees can be divided into hundred parts. Each part is known as paisa. Using this we can find the answer to the question given above.
Formula used: The formula we have used here is given below,
\[1\text{paise} = \dfrac{1}{{100}}\text{rupees}\]

Complete step-by-step solution:
Here, we are given to find if the statement given to us i.e. “\[9\] paise is equal to\[Rs.0.09\]” is true or false. We do this by converting paise into rupees. We know that,
\[1\text{paise} = \dfrac{1}{{100}}\text{rupees}\]
Since, we have to find the value of \[9\] paise, we do this as,
\[
   \Rightarrow 9\text{paise} = \dfrac{9}{{100}}\text{rupees} \\
   \Rightarrow 9\text{paise} = 0.09\text{rupees} \\
 \]
Hence, we have found that the statement given to us is true. Hence the correct option is a).
Additional information: Elementary part of a dollar is called cent and a pound sterling is called penny. Both of them are \[{\dfrac{1}{{100}}^{th}}\] part of their respective currencies.

Note: When we have to do the conversion within a currency or between different currencies, we must know the conversion value or exchange values of the currency or different currencies. The elementary part of most of the currencies the world uses today are one hundredth part of the currency. But there are some currencies which do not use the \[{100^{th}}\] part. For example, in the old times we used anna as a currency unit which was \[{\dfrac{1}{{16}}^{th}}\] part of a rupee.