Question

Which number is greater and by how much?
600, or 600 decreased by 20% and then increased by 20% of the result

Answer 1

To compare the two numbers, let's first calculate \( 600 \) decreased by \( 20\% \) and then increased by \( 20\% \) of the result.

1. Calculate \( 20\% \) of \( 600 \):
\[
0.20 \times 600 = 120
\]

2. Decrease \( 600 \) by \( 120 \):
\[
600 - 120 = 480
\]

3. Now, calculate \( 20\% \) of \( 480 \):
\[
0.20 \times 480 = 96
\]

4. Increase \( 480 \) by \( 96 \):
\[
480 + 96 = 576
\]

Now we have the two numbers:
- The original number is \( 600 \).
- After the calculations, the other number is \( 576 \).

Finally, we compare them:
\[
600 - 576 = 24
\]

So, \( 600 \) is greater than \( 576 \) by \( 24 \).