Aarav's salary is 25% more than Joseph's. By what percentage is Joseph's salary less than Aarav's?

20%Correct answerYour answer25%Correct answerYour answer75%Correct answerYour answer80%Correct answerYour answer

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CorrectNot quiteAnswer A

Correct answer: A

Let Joseph earn 100. Then Aarav earns 125.
Joseph earns 25 less than Aarav; as a percentage of Aarav's salary: $\frac{25}{125} \times 100 = 20\%$ .

Worth noting

The difference is the same 25, but the base changes to Aarav's 125. Shortcut: if A is r% more than B, B is $\frac{r}{100+r} \times 100\%$ less than A.

Concept: "More than" and "less than" use different bases
Typical timeTypical: 60 s
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Aarav's salary is 25% more than Joseph's. By what percentage is Joseph's salary less than Aarav's?

Explanation