Question

What is \[45\% \] of 180?

Answer 1

Hint: The given question requires us to find a specific percentage of a given number. To solve this problem, we need to know how to write a number in percentage. We can solve this problem by two methods. We can solve either by normal method or by finding the percentage of the whole number. Such questions require accuracy in arithmetic.

Complete step-by-step solution:
Let’s consider the given problem. We have to find \[45\% \] of \[180\].
So, let \[45\% \] of \[180\] be x.
Then, \[x = 45\% \] of \[180\].
Then, \[x = \dfrac{{45}}{{100}} \times 180\].
So, cancelling the common factors in numerator and denominator, we get,
\[x = \dfrac{9}{{20}} \times 180\]
\[x = \dfrac{9}{2} \times 18\]
Simplifying the calculations further, we get,
\[x = 9 \times 9\]
\[ \Rightarrow x = 81\]
So, \[45\% \] of 180 is 81.
This is our required answer to the given problem.
Additional information:
We can also solve this by using simple conversion.
That is,
We consider \[100\% \] is 180.
That is \[100\% \to 180\].
Then \[10\% \to 18\].
We need \[40\% \] of 95 then,
\[4 \times 10\% \to 18 \times 4\]
\[40\% \to 72\].
\[5\% \to 9\]
Adding this we will have
\[45\% \to 81\]
So, \[45\% \] of 180 is 81.

Note: Though we have number of methods to solve this problem, it is better to workout with the above-mentioned method and after solving number of problems in this model, one can consider the method involving the unitary method. Solving problem by the unitary method needs better understanding in the concept of percentage. While solving such a problem using unitary method, we consider the given number as \[100\% \] of itself and then then find out the desired percentage of the number. Work as many problem as possible to crack these type of problem in a limited time period.