Question

What percentage of $ 3 $ kg is $ 500 $ gm.

Answer 1

Hint: Percentage can be defined as the number or ratio expressed as a fraction of hundred. Here we will use the concepts of cross multiplication and will first frame the equation with the given condition and then will simplify for the resultant required value.

Complete step-by-step answer:
Here, we are asked to find the percentage of total kilogram and the part of it in grams.
First of all convert the kilogram into grams by using the relation $ 1 $ kilogram $ = 1000 $ grams.
 $ 3 $ kg $ = 3 \times 1000 $ grams
Simplify the above equation finding the product of the terms.
 $ 3 $ kg $ = 3000 $ grams
Now, $ 3000 $ grams is $ 100\% $
Then, $ 500 $ gm is
Frame the equation using the cross multiplication
 $ = \dfrac{{500 \times 100}}{{3000}} $
Find the factors of the above terms –
 $ = \dfrac{{50 \times 10 \times 100}}{{3 \times 10 \times 100}} $
Common factors from the numerator and the denominator cancel each other and therefore remove and from the numerator and the denominator.
 $ = \dfrac{{50}}{3} $
Simplify the above expression finding the division of the term.
 $ = 16.67\% $
Hence, $ 16.67\% $ of $ 3 $ kg is $ 500 $ gm.
So, the correct answer is “ $ 16.67\% $ ”.

Note: Fractions are expressed as the part of the whole. Generally, it represents any number of equal parts and it also describes the part from a certain size and it is the number expressed in the form of numerator upon the denominator. Know the difference between the fraction and the percentage and apply it accordingly.