Question

If 120 is the 30% of a number then find the 120% of that same number?

Answer 1

Hint: We can solve it directly by unitary method or by assuming a number as x and finding x from given and then 120% of that number. Both are easy, we can solve them by any method.

Complete step-by-step answer:
From given
120 is 30% of a number
Let the number is x
30% of a number x is 120
So, 1% of a number x is $\dfrac{{120}}{{30}}$
Hence, 100% of a number x is $\dfrac{{120}}{{30}} \times 100 = 400$
Hence number x is 400. We have to find 120% of this number so,
100% of the number is 400.
So, 1% of number is $\dfrac{{400}}{{100}}$
Hence, 120% of number is $\dfrac{{400}}{{100}} \times 120 = 480$
Here 480 is the required answer.

Note: Whenever we get this type of question the key concept of solving is we have to first find the required number by assuming it x and using what is given in question. After that from the unitary method we can easily get the required percentage of that number.