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?
A.180%
B.480%
C.280%
D.208%

To solve this, we need to determine the percentage increase from the original amount of money Danny has saved to the total amount he will have after 6 months.

### Step 1: Calculate the total amount Danny will have saved after 6 months.
Danny already has $200 saved and will save an additional $60 every month for 6 months. 

\[
\text{Additional savings} = 60 \times 6 = 360
\]

Thus, the total amount he will have after 6 months is:

\[
\text{Total amount} = 200 + 360 = 560
\]

### Step 2: Calculate the percentage increase.
The formula for percentage increase is:

\[
\text{Percentage increase} = \left( \frac{\text{New amount} - \text{Original amount}}{\text{Original amount}} \right) \times 100
\]

Substituting the values:

\[
\text{Percentage increase} = \left( \frac{560 - 200}{200} \right) \times 100 = \left( \frac{360}{200} \right) \times 100 = 1.8 \times 100 = 180\%
\]

### Conclusion:
The closest percentage increase is **180%**.

Thus, the answer is **A. 180%**.

---

Do you want more details or have any other questions?

Here are 5 related questions:
1. If Danny saves for 8 months instead of 6, what will be the new percentage increase?
2. How much would Danny have after 12 months of saving $60 per month?
3. What if Danny started with $300 saved instead of $200? What would the percentage increase be after 6 months?
4. What is the formula for calculating percentage increase in general?
5. If Danny’s saving rate doubled after 3 months, what would his final amount be?

**Tip:** When calculating percentage increases, always find the difference first and then divide by the original value.

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? A.180% B.480% C.280% D.208%

Learn how to calculate the percentage increase in savings over 6 months when starting with $200 and adding $60 each month. This problem involves basic arithmetic and percentage calculation, making it suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation