Questions: 360 is increased by 25%. The result is then decreased by 50%. What is the final number?

360 is increased by 25%. The result is then decreased by 50%. What is the final number?
Transcript text: 4. 360 is increased by $25 \%$. The result is then decreased by $50 \%$. What is the final number?
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Solution

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Solution Steps

To solve this problem, we need to follow these steps:

  1. Increase 360 by 25%.
  2. Decrease the result by 50%.
Step 1: Increase by 25%

To increase 360 by 25%, we calculate: \[ \text{Increased Number} = 360 \times \left(1 + \frac{25}{100}\right) = 360 \times 1.25 = 450 \]

Step 2: Decrease by 50%

Next, we decrease the result by 50%: \[ \text{Final Number} = 450 \times \left(1 - \frac{50}{100}\right) = 450 \times 0.50 = 225 \]

Final Answer

The final number is \\(\boxed{225}\\).

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