Question

What percentage of $25kg$ is $3.5kg$ ?

Answer 1

Hint: In the given question, we are required to find the percentage that corresponds to $3.5kg$ as a part of the whole quantity of $25kg$. To solve this problem, we need to know how to write a number in percentage. Such questions require accuracy in arithmetic.

Complete step-by-step answer:
In this specific problem, we have to find the percentage that represents $3.5kg$ out of $25kg$.
So, we know the formula of percentage as $Percentage = \dfrac{{Part}}{{Whole}} \times 100\% $. The whole quantity is $25kg$ and the part of the whole quantity whose percentage is to be found is $3.5kg$.
So, we will substitute the values of known quantities and get to the required answer.
So, let the required percentage be x. Now, we have to find the value of x to get to our required final answer.
Then, $x = \dfrac{{3.5kg}}{{25kg}} \times 100\% $
Since both the quantities are in the same units. So, we can proceed with the procedure of finding without changing the units of measurement.
Doing the multiplication and finding the product in numerator, we get,
\[ \Rightarrow x = \dfrac{{350}}{{25}}\% \]
Cancelling the common factors in numerator and denominator, we get,
\[ \Rightarrow x = 14\% \]
Hence, the value of x is $14\% $.
Therefore, $14\% $ of $25kg$ is $3.5kg$.
This is our required final answer for the given problem.

Note: We must know the formula for percentage to solve such questions. We must take care that the unit of the whole quantity and the part whose percentage is to be found should be the same. Care should also be taken while doing the calculations and cancelling the common factors in numerator and denominator of fractions so as to get to the correct answer.