Question

What is 60 % of 115 ?

Answer 1

Hint: To calculate 60 % of 115, we should use the definition of percentage, i.e., specific kind of values per 100 values. Then, we will need to use the unitary method technique to find the required value. From a set of 100 values, we are interested in 60 of them. So, from 115 values, we will need $\dfrac{60}{100}\times 115$. Hence, we will get the required answer.

Complete step-by-step answer:
We all 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. So, we can easily say that, percentage refers to the number of specific values per hundred values.
In our problem, we need to find 60 % of 115.
According to the definition of percentage, 60 % means 60 out of 100.
We can rephrase this as,
From 100, we need = 60
So, by using unitary method, we can say that
From 1, we need = $\dfrac{60}{100}$
And thus,
From 115, we need = \[\dfrac{60}{100}\times 115=3\times 23=69\].
Alternatively, we can also directly use the following formula.
We know that to find A% of B, we can write A% of B = $\dfrac{A}{100}\times B$
Now, using this formula to solve our problem, we get
60 % of 115 = $\dfrac{60}{100}\times 115$.
Thus, 60 % of 115 = \[3\times 23=69\]
Hence, 60 % of 115 is 69.

Note: We must know the concepts of unitary method to solve this problem. Alternatively, we can also use the direct formula to solve this problem, which can be written as, A% of B = $\dfrac{A}{100}\times B$. We must take care not to write it as $\dfrac{60}{115}\times 100$ which will give a totally wrong answer.