56.2k views
3 votes
Sheila claims that if you increase a number by 10% and then decrease the result by 10%, you are right back where you started. show that sheila is incorrect by using a specific numerical example

User Dan Korn
by
8.0k points

1 Answer

5 votes

Final answer:

By demonstrating with a $10 example, we can see that a 10% increase followed by a 10% decrease results in $9.90, not the original $10, disproving Sheila's claim.

Step-by-step explanation:

Let's use a numerical example to demonstrate why Sheila's claim that increasing a number by 10% and then decreasing it by 10% results in the original number is incorrect. Suppose you have $10. If you increase $10 by 10%, you add $1 (which is 10% of $10), giving you $11. Now, if you decrease $11 by 10%, you have to subtract $1.10 (which is 10% of $11), leaving you with $9.90. This example clearly shows that a 10% increase followed by a 10% decrease does not bring you back to the starting amount.

User Willem Franco
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.