Question

What percent of $ 50 $ kg is $ 65Kg? $

Answer 1

Hint: As we know that a percentage is a number or ratio expressed as a fraction of $ 100 $ or as a ratio of any value to the whole value multiplied by $ 100 $ . It is denoted by using the percent sign, $ \% $ . The abbreviations used to represent the percentage id “pct” or “pc”. A percentage is a dimensionless number means it has no unit of measurement. If the number is given in fraction then either we assume a percentage number or by conversing the fraction into decimal form then multiplying by $ 100 $ .

Complete step-by-step answer:
Here we have to find what percent of $ 50Kg $ is $ 65Kg $ .
Let us assume the percent be $ x $ i.e. $ x\% $ .
So according to the question we can write $ x\% $ of $ 50kg $ $ = 65Kg $ .
It can be written as $ \dfrac{x}{{100}} \times 50 = 65 $ . By further calculation we can write it as $ 50x = 65 \times 100 $ .
We will now isolate the term $ x $ by transferring $ 50 $ to the right hand side i.e. $ x = \dfrac{{65 \times 100}}{{50}} $ .
So it gives us the value $ x = 65 \times 2 = 130 $
Hence the required answer is $ 130\% $ .
So, the correct answer is “ $ 130\% $ ”.

Note: We should always read carefully what the question is asking, percentage or percentile as both of them are different. A percentage is a number which is represented out of $ 100 $ while a percentile is a percentage of a given value below which a specific number is found. Percentile is the variable and it is not out of $ 100 $ because the value of percentage is always fixed. As for example, $ 20\% $ of $ 2000 $ is always $ 400 $ i.e. it is fixed but if we say that $ 85th $ percentile is $ 90 $ then it means that if we scored above $ 90 $ then only we are better than others.