Question

75 paise is _____ part of a rupee.

Answer 1

Hint: We will use the concept that 1 Rs = 100 paise. We will also use the concept of unitary method as,
if, 100 paise = 1 Rs, then 75 paise = x Rs and then we will solve to find the value of ‘x’.

Complete step-by-steps solution -
It is given in the question that we have to find what part of a rupee is 75 paise. We know that 1 Rs = 100 paisa. We will use the unitary method to find the correct answer of this question. Basically, the unitary method is a mathematical approach in which we will first find the value of 1 unit and then multiply the obtained value with the required value.
Here, we will find the value of 1 paisa in terms of rupees. So, we know that 100 paise = 1 rupee.
Now, let us assume that 1 paisa = ‘x’ rupees
So, we can write,
$\begin{align}
  & x=\dfrac{1}{100}\times 1 \\
 & x=\dfrac{1}{100} \\
\end{align}$
x = 0.01 rupees.
So, we get 1 paisa = 0.01 rupees.
Now, we have been asked to find the value of 75 paisa, so we get,
75 paise = $0.01\times 75$
75 paise = 0.75 rupees
Thus, we get 75 paise which is equal to 0.75 rupees. So now to find what part of Rs. 1 is Rs. 0.75, we have to write in mathematical form as,
x part of Rs. 1 = Rs. 0.075
$\begin{align}
  & x\times 1=0.75 \\
 & x=\dfrac{0.75}{1} \\
\end{align}$
On multiplying with 100 in the numerator and denominator in the RHS, we get,
$\begin{align}
  & x=\dfrac{0.75\times 100}{1\times 100} \\
 & x=\dfrac{75}{100} \\
 & x=\dfrac{3}{4} \\
\end{align}$
Therefore, we get that 75 paise is $\dfrac{3}{4}$ part of 1 rupee.

Note: The most common mistake that the students can make in this question in the unitary method, they might write the value of 1 paisa in terms of rupees as $x=1\times 100=100$, that is they will get 1 paisa = 100 rupees, which is absolutely wrong. So, the students must avoid making such mistakes. This is a very simple question, The students tend to skip the steps, and may get the wrong answer.