Danny wants to buy a new guitar. He already has $200 saved. He plans to save $60 every month for the next 6 months. He won’t spend any money he saves.

Which percentage is closest to the percent increase from the original amount of money he has saved to the amount he will have saved at the end of 6 months?

To find the percent increase from Danny's original savings to the amount he will have after 6 months, follow these steps:

1. **Original savings**: Danny already has $200.
2. **Additional savings over 6 months**: He saves $60 every month for 6 months.
   \[
   60 \times 6 = 360 \, \text{dollars}
   \]
3. **Total savings after 6 months**:
   \[
   200 + 360 = 560 \, \text{dollars}
   \]
4. **Percent increase**: The percent increase from $200 to $560 is calculated using the formula:
   \[
   \text{Percent Increase} = \left( \frac{\text{New amount} - \text{Original amount}}{\text{Original amount}} \right) \times 100
   \]
   Substituting the values:
   \[
   \text{Percent Increase} = \left( \frac{560 - 200}{200} \right) \times 100 = \left( \frac{360}{200} \right) \times 100 = 1.8 \times 100 = 180\%
   \]

So, the percent increase from his original savings to his savings after 6 months is **180%**.

Do you want further clarification or details?

Here are 5 related questions for practice:
1. How much will Danny save if he saves for 8 months instead of 6?
2. What if Danny decided to save $80 per month for 6 months?
3. How much would Danny need to save each month to reach $700 in 6 months?
4. If Danny started with $100 instead of $200, what would the percent increase be?
5. How long would it take Danny to double his current savings with $60 monthly savings?

**Tip**: To calculate percentage increases or decreases, always subtract the original amount first, then divide by the original amount.

Learn how to calculate the percentage increase in savings from $200 to $560 over 6 months with step-by-step solutions. This problem covers key concepts in percentage increase and basic arithmetic, making it suitable for students in Grades 6-8.

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