Question

Which of the following is equal in value to 1 plus (100 percent of 1)?
1) 100 percent of 1
2) 101 percent of 1
3) 110 percent of 1
4) 200 percent of 1

Answer 1

Hint: Here, we will first rewrite the given expression in a mathematical form and then compute the values of an expression in all the four options to find the correct option.

Complete step-by-step answer:
We are given that the in value to 1 plus (100 percent of 1).

We can rewrite the given expression in a mathematical form, we get

\[
   \Rightarrow 1 + \left( {100\% \times 1} \right) \\
   \Rightarrow 1 + \left( {\dfrac{{100}}{{100}} \times 1} \right) \\
   \Rightarrow 1 + \left( {1 \times 1} \right) \\
   \Rightarrow 1 + 1 \\
   \Rightarrow 2 \\
 \]

First, we will compute the mathematical expression for option A.

\[
   \Rightarrow 100\% \times 1 \\
   \Rightarrow \dfrac{{100}}{{100}} \times 1 \\
   \Rightarrow 1 \times 1 \\
   \Rightarrow 1 \\
 \]

But we have \[2 \ne 1\], the option A is incorrect.

Now, we will find the expression for option B.

\[
   \Rightarrow 101\% \times 1 \\
   \Rightarrow \dfrac{{101}}{{100}} \times 1 \\
   \Rightarrow 1.01 \times 1 \\
   \Rightarrow 1.01 \\
 \]

But we have \[1.01 \ne 1\], the option B is incorrect.

We will now calculate the value of the expression for option C.

\[
   \Rightarrow 110\% \times 1 \\
   \Rightarrow \dfrac{{110}}{{100}} \times 1 \\
   \Rightarrow 1.1 \times 1 \\
   \Rightarrow 1.1 \\
 \]

But we have \[1.1 \ne 1\], the option C is incorrect.

Now we will compute the value of the expression for option D.

\[
   \Rightarrow 200\% \times 1 \\
   \Rightarrow \dfrac{{200}}{{100}} \times 1 \\
   \Rightarrow 2 \times 1 \\
   \Rightarrow 2 \\
 \]

Since we have \[1 = 1\], the option D is correct.

Note: While solving these types of questions, students must write the expression in a mathematical form to understand the question and then find the value of every option to check which one equals to the given expression. Then the question will be really simple to solve.