Question

What number is $ 32\% $ of $ 600 $ ?

Answer 1

Hint: In order to solve the given equation first comparing the value of $ 600 $ with $ 100\% $ , then using this we find the value for $ 1\% $ , by dividing both the sides by $ 100 $ . After obtaining for $ 1\% $ , multiplying it with $ 32 $ to get the value for $ 32\% $ , and hence we obtain our needed value.

Complete step-by-step answer:
We are given to find $ 32\% $ of $ 600 $ .
Comparing $ 600 $ with $ 100\% $ , as it is the total value i.e $ 600 = 100\% $ .
Dividing both the sides by $ 100 $ to find the value for $ 1\% $ and we get:
 $
  100\% = 600 \\
  \dfrac{{100}}{{100}}\% = \dfrac{{600}}{{100}} \\
  1\% = 6 \\
  $
 Since, we need to find the value for $ 32\% $ , multiplying both the sides of the equation obtained by $ 32 $ .
And, we get:
 $
  1\% \times 32 = 6 \times 32 \\
  32\% = 192 \;
  $
Therefore, the value $ 32\% $ of $ 600 $ is $ 192 $ .

Alternate Method:
We can also find the value simply by solving the terms directly, as we know that % is known as percent which means per $ 100 $ . That means $ 32\% $ can be written in terms of fraction as $ \dfrac{{32}}{{100}} $ .
Now, for $ 32\% $ of $ 600 $ .
We know in terms of mathematics, ‘’ of ’’ is represented as multiplication. According to this the value $ 32\% $ of $ 600 $ can be written as $ 32\% \times 600 = \dfrac{{32}}{{100}} \times 600 $ .
Simply multiplying the term’s, we get the value as:
 $ \dfrac{{32}}{{100}} \times 600 $ , cancelling the zero’s.
 $ 32 \times 6 = 192 $ .
Therefore, $ 32\% $ of $ 600 $ is $ 192 $ .
So, the correct answer is “192”.

Note: We should prefer going step by step instead solving at one go, as it would be complicated for a percentage of huge numbers.
If instead a decimal number fraction was given, then we could have solved it directly or first converting the fraction into decimal then further solving it as solved above.