To solve the problem of decreasing [tex]$240 by 20\%$[/tex], follow these steps:
1. Identify the initial amount:
- The initial amount is [tex]$240.
2. Determine the percentage decrease:
- The decrease percentage is $[/tex]20\%[tex]$.
3. Convert the percentage to a decimal:
- To convert the percentage to a decimal, divide by 100:
\[ 20\% = \frac{20}{100} = 0.20 \]
4. Calculate the amount of decrease:
- Multiply the initial amount by the decimal equivalent of the percentage:
\[ 240 \times 0.20 = 48 \]
- Thus, the amount of decrease is $[/tex]48.
5. Subtract the decrease from the initial amount:
- Now, subtract the amount of decrease from the initial amount:
[tex]\[ 240 - 48 = 192 \][/tex]
- Thus, the new amount after the decrease is [tex]$192.
So, the amount reduced is $[/tex]48, and the new amount after the decrease is $192.