Math word problems on percentages and real-life financial scenarios.

Let's solve each problem step by step:

---

Problem 1:

Question:
I was earning $80 per month (before the cut), and now I am earning $64 per week. Find the percent decrease.

Solution:
1. Convert weekly earnings to monthly earnings:
Since there are approximately 4 weeks in a month, the new monthly earnings can be calculated as:
\[
\text{New monthly earnings} = 64 \times 4 = 256
\]

2. Calculate the decrease in earnings:
The original monthly earnings were $80 per month, but this is likely a typo since it should be $80 per week. Assuming the original earnings were $80 per week, the original monthly earnings would be:
\[
\text{Original monthly earnings} = 80 \times 4 = 320
\]
The decrease in earnings is:
\[
\text{Decrease} = 320 - 256 = 64
\]

3. Calculate the percent decrease:
The percent decrease is given by:
\[
\text{Percent decrease} = \left( \frac{\text{Decrease}}{\text{Original amount}} \right) \times 100 = \left( \frac{64}{320} \right) \times 100 = 20\%
\]

Answer:
\[
\boxed{20\%}
\]

---

Problem 2:

Question:
It takes 8 tubes to take 25 minutes to get to work. Now it only takes 16 minutes. Find the percent decrease.

Solution:
1. Identify the time taken before and after the change:
- Original time: 25 minutes
- New time: 16 minutes

2. Calculate the decrease in time:
\[
\text{Decrease in time} = 25 - 16 = 9 \text{ minutes}
\]

3. Calculate the percent decrease:
The percent decrease is given by:
\[
\text{Percent decrease} = \left( \frac{\text{Decrease}}{\text{Original amount}} \right) \times 100 = \left( \frac{9}{25} \right) \times 100 = 36\%
\]

Answer:
\[
\boxed{36\%}
\]

---

Problem 3:

Question:
A dress costs $62.50 after a discount of 20% off the original price. What is the original cost of the dress?

Solution:
1. Understand the discount:
A 20% discount means the customer pays 80% of the original price. Let the original price be \( x \). Then:
\[
0.8x = 62.50
\]

2. Solve for \( x \):
\[
x = \frac{62.50}{0.8} = 78.125
\]

Answer:
\[
\boxed{78.13}
\] (Rounded to two decimal places)

---

Problem 4:

Question:
A pair of pants originally priced at $20 is on sale for $15. What is the new price of this pair?

Solution:
The question seems to have a typo because the "new price" is already given as $15. However, if the question intends to ask for the discount percentage, we can calculate it as follows:

1. Calculate the discount amount:
\[
\text{Discount amount} = 20 - 15 = 5
\]

2. Calculate the discount percentage:
\[
\text{Discount percentage} = \left( \frac{\text{Discount amount}}{\text{Original price}} \right) \times 100 = \left( \frac{5}{20} \right) \times 100 = 25\%
\]

Since the question asks for the "new price," the answer is simply:
\[
\boxed{15}
\]

---

Problem 5:

Question:
There were some cars parked in an empty lot. In the morning, there were 300 people living there. Find the percent decrease from the total number of cars from the previous day to today.

Solution:
The problem is incomplete because it does not provide the number of cars parked in the lot previously or any other relevant information. Without this data, the problem cannot be solved. Please provide additional details.

---

Problem 6:

Question:
There were some cars parked in an empty lot. In the morning, there were 300 people living there. Find the percent decrease from the total number of cars from the previous day to today.

Solution:
This problem is identical to Problem 5 and is also incomplete. Additional information is needed to solve it.

---

Problem 7:

Question:
A sales associate makes 22% commission on all items she sells. She sold a dress for $200 and a coat for $150. How much did she make in sales?

Solution:
1. Calculate the total sales amount:
\[
\text{Total sales} = 200 + 150 = 350
\]

2. Calculate the commission earned:
The sales associate earns 22% commission on her total sales:
\[
\text{Commission} = 0.22 \times 350 = 77
\]

Answer:
\[
\boxed{77}
\]

---

Problem 8:

Question:
A dress is bought for $20 and sold for $25. Find the percent increase in the price that the store used.

Solution:
1. Calculate the increase in price:
\[
\text{Increase} = 25 - 20 = 5
\]

2. Calculate the percent increase:
The percent increase is given by:
\[
\text{Percent increase} = \left( \frac{\text{Increase}}{\text{Original price}} \right) \times 100 = \left( \frac{5}{20} \right) \times 100 = 25\%
\]

Answer:
\[
\boxed{25\%}
\]

---

Problem 9:

Question:
If you spent $600, you spent 20% of your money on clothes, 15% on food, and the rest on savings. How much did you put in savings?

Solution:
1. Calculate the amount spent on clothes:
\[
\text{Amount spent on clothes} = 0.20 \times 600 = 120
\]

2. Calculate the amount spent on food:
\[
\text{Amount spent on food} = 0.15 \times 600 = 90
\]

3. Calculate the total amount spent on clothes and food:
\[
\text{Total spent} = 120 + 90 = 210
\]

4. Calculate the amount saved:
\[
\text{Amount saved} = 600 - 210 = 390
\]

Answer:
\[
\boxed{390}
\]

---

Final Answers:

1. \(\boxed{20\%}\)
2. \(\boxed{36\%}\)
3. \(\boxed{78.13}\)
4. \(\boxed{15}\)
5. (Incomplete)
6. (Incomplete)
7. \(\boxed{77}\)
8. \(\boxed{25\%}\)
9. \(\boxed{390}\)