Question

Choose the correct answer from the given four options:
If x % of 80 = 12 then x is equal to
A. 15
B. 20
C. 25
D. 30

Answer 1

Hint: Here in this question, we have to simplify the given term. The term is involving the symbol % implies the percentage. So, we write the percentage term into fraction form and then using the simple arithmetic operation we determine the solution for the question.

Complete step-by-step solution:
Now consider the question we have x% of 80 = 12.
The question is involving the symbol % which means percentage. The percentage number can be written in the form of fraction. The fraction contains both numerator and denominator part. The word “of” represents the multiplication operation. While writing the percentage number into a fraction number, the value of numerator will be same but the value of denominator will be 100 so now the question is written as
\[ \Rightarrow \dfrac{x}{{100}} \times 80 = 12\]
Cancel the zeros in the LHS of the above equation we get
\[ \Rightarrow \dfrac{x}{{10}} \times 8 = 12\]
First we simplify the term.
The factors of the number 8 is 1, 2, 4, 8.
The factors of the number 100 is 1, 2, 5, 10.
The common factor of 8 and 10 is 2. So divide the both numbers by 2 we have
\[ \Rightarrow \dfrac{x}{5} \times 4 = 12\]
On multiplying the above equation by 5
\[ \Rightarrow \dfrac{x}{5} \times 4 \times 5 = 12 \times 5\]
On simplifying
\[ \Rightarrow 4x = 60\]
Divide the equation by the number 4 we get
\[ \Rightarrow x = 15\]

Therefore the correct answer is option ‘A’.

Note: The number can be simplified from one form to the other form. For the simplification of numbers, we have some rules or methods. By using the specific methods and rules we can convert the number. The fraction number has a numerator and denominator. The percentage is represented by the symbol %.