Question

Mohan got $ 600 $ total marks out of $ 800 $ . What percentage of marks he has got?

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:
Given that: There are total marks: $ = 800 $
Mohan got marks $ = 600 $
When, $ 800 $ marks it is $ = 100\% $
Therefore, $ 600 $ marks is?
Frame the equation from the above data using cross multiplication –
  $ = \dfrac{{600 \times 100}}{{800}} $
Find the factors for the above expression –
 $ = \dfrac{{2 \times 3 \times 25 \times 4 \times 100}}{{2 \times 4 \times 100}} $
Common factors from the numerator and the denominator cancel each other and therefore remove from the numerator and the denominator.
 $ = 3 \times 25 $
Simplify the above expression finding the product of the terms
 $ = 75\% $
Hence, Mohan got $ 75\% $ marks.
So, the correct answer is “ $ 75\% $ ”.

Note: When any term is expressed as the fraction and need to simplify first of all try to get common factors from the numerator and denominator and remove them and then at last do division to get the resultant required value. When you frame the equation check it twice understanding the given word statements. Be good in multiples and getting factors of any number.