Problem

30. Decrease $\$ 1000$ by $10 \%$. Increase the result by $10 \%$. What do you discover?

Solution

Step 1 :First, we need to decrease $1000 by $10 \%$. This can be done by multiplying $1000 by $0.9 (since $10 \%$ decrease means we are left with $90 \%$ of the original amount).

Step 2 :Next, we need to increase the result by $10 \%$. This can be done by multiplying the result by $1.1 (since $10 \%$ increase means we are adding $10 \%$ to the original amount).

Step 3 :We will then compare the final result with the original amount to see what we discover.

Step 4 :The final amount is less than the original amount. This is because a percentage decrease followed by the same percentage increase does not result in the original amount. The percentage increase is applied to the decreased amount, not the original amount, resulting in a smaller final amount.

Step 5 :Final Answer: The final amount is \(\boxed{990}\), which is less than the original amount of \(\boxed{1000}\).

From Solvely APP
Source: https://solvelyapp.com/problems/17308/

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