Question

Sam scored 36 marks out of 60. Express the marks in percentage.

Answer 1

Hint: We should use the definition of percentage, i.e., specific kind of values per 100 values. Then, we can use the technique of unitary method to find the percentage of marks scored by Sam. From a total of 60 marks, Sam scored 36. So, from 100 marks, Sam scored ${\displaystyle \frac{36}{60}}\times 100$. Hence, we will get the required percentage.

Complete step-by-step answer:
We know very well that the word ‘percentage’ is made up of a combination of 2 words, ‘per’, which means ‘for every’, and ‘cent’, which is equivalent to the number 100. Hence, we can say that, percentage refers to the number of specific values per hundred values.
In our given problem, we need to find what percent is 36 out of 60.
Let us assume $x$% of 60 is 36.
According to the definition of percentage, $x$% means $x$ out of 100.
So, we can rephrase this as,
From 100, we need = $x$.
So, using unitary method, we can say that
From 1, we need = ${\displaystyle \frac{x}{100}}$
And thus,
From 60, we need = $${\displaystyle \frac{x}{100}}\times 60$$.
Thus, we now have,
$${\displaystyle \frac{x}{100}}\times 60=36$$
On simplifying, we can get
$${\displaystyle \frac{x}{100}}={\displaystyle \frac{36}{60}}$$
And thus,
$$x={\displaystyle \frac{36}{60}}\times 100$$
$\Rightarrow x={\displaystyle \frac{6}{10}}\times 100$
$\Rightarrow x=60$
Thus, we get that 36 out of 60 is 60%.
Hence, we can say that Sam scored 60% marks.

Note: We should understand the concepts of unitary method to solve this problem. Alternatively, we can use the direct formula to solve this problem, which can be written as, A% of B = ${\displaystyle \frac{A}{100}}\times B$. And thus, we will get $({\displaystyle \frac{36}{60}}\times 100)\mathrm{\%}$.