Question

The contrapositive of the statement “If you will work, you will earn money” is:

• A. If you will not earn money, you will not work
• B. You will earn money, if you will not work
• C. If you will earn money, you will work
• D. To earn money, you need to work

Answer 1

The correct option is A

If you will not earn money, you will not work

Explanation for correct option:

Finding the contrapositive of the given statement:

Given: “If you will work, you will earn money”

Let's consider,

$p$: you will work

$q$: you will earn money

The given statement is of the form $p\to q$

Now the contrapositive of two statements be

$$\begin{gathered} ~\left(p\to q\right) \\ \Rightarrow ~q\to ~p \end{gathered}$$

$~q$: you will not earn money

$~p$: you will not work

So, the statement becomes :

If you will not earn money, you will not work

Hence, option (A) is the correct answer.