Question

What percent of 150 is 5?

Answer 1

Hint: First we will assume that $x\%$ of 150 is 5. Then we will convert the statement into algebraic form. Then we will solve the expression by using the concept of percentage that is $x\%\text{ }of\text{ }y=\dfrac{x}{100}\times y$. Substituting the values and simplifying the obtained equation we will get the desired answer.

Complete step by step solution:
We have to find out what percentage of 150 is 5.
Now, let us assume that $x\%$ of 150 is 5.
So we can write the above statement mathematically as
\[\Rightarrow x\%\times 150=5\]
Now, we know that one percent is the part of hundred percent. To write a percentage in to decimal form we will divide it by 100. Then we will get
\[\Rightarrow \dfrac{x}{100}\times 150=5\]
Now, simplifying the above obtained equation we will get
\[\begin{align}
  & \Rightarrow \dfrac{x}{2}\times 3=5 \\
 & \Rightarrow x=\dfrac{10}{3} \\
 & \Rightarrow x=3.3333\% \\
\end{align}\]
Now, correct to two decimal places we will get
\[\Rightarrow x=3.33\%\]

Hence we get that \[3.33\%\] of 150 is 5.

Note: Alternatively we can also solve the question by using the concept of proportion. For this we need to take the proportion between the two quantities and compare the part to the whole. Simplifying the obtained proportion we will get the desired answer. The point to be remembered is that while solving the percentage the word ‘of’ represents the multiplication so always replace the word ‘of’ by multiplication and the word ’is’ represents the sign equal “$=$”.