Question
Answer all questions clearly step by step by showing your work.
SOLVING ARITHMETIC
Key Topics:
• Basic operations (addition, subtraction, multiplication, division)
• Order of operations
• Application of arithmetic in business scenarios
Exam Questions:
1. Question: Calculate 15% of $250 and determine the total amount after including the calculated percentage.
2. Question: If a product costs $40 and is marked up by 20%, what is the new selling price?
3. Question: A company sold 150 units at $20 each. What was the total revenue?
4. Question: If you buy 30 shares at $50 each and sell them at $55 each, what is your profit?
5. Question: Convert 250 hours into minutes.
6. Question: If 5 products cost $250, what is the cost of 12 products?
7. Question: A person has $600 and wants to divide it among 4 friends evenly. How much will each friend receive?
SOLVING ARITHMETIC
Key Topics:
• Basic operations (addition, subtraction, multiplication, division)
• Order of operations
• Application of arithmetic in business scenarios
Exam Questions:
1. Question: Calculate 15% of $250 and determine the total amount after including the calculated percentage.
2. Question: If a product costs $40 and is marked up by 20%, what is the new selling price?
3. Question: A company sold 150 units at $20 each. What was the total revenue?
4. Question: If you buy 30 shares at $50 each and sell them at $55 each, what is your profit?
5. Question: Convert 250 hours into minutes.
6. Question: If 5 products cost $250, what is the cost of 12 products?
7. Question: A person has $600 and wants to divide it among 4 friends evenly. How much will each friend receive?
Answers
GPT-4o mini
Sure! Let's solve each question step by step.
### 1. Calculate 15% of $250
**Step 1:** Convert percentage to a decimal.
\[
15\% = \frac{15}{100} = 0.15
\]
**Step 2:** Multiply by the total amount.
\[
0.15 \times 250 = 37.5
\]
**Step 3:** Add the calculated percentage to the original amount.
\[
250 + 37.5 = 287.5
\]
**Final Answer:** The total amount after including the calculated percentage is **$287.50**.
---
### 2. Calculate the new selling price after a 20% markup on a $40 product.
**Step 1:** Convert percentage to a decimal.
\[
20\% = \frac{20}{100} = 0.20
\]
**Step 2:** Calculate the markup amount.
\[
0.20 \times 40 = 8
\]
**Step 3:** Add the markup to the original price.
\[
40 + 8 = 48
\]
**Final Answer:** The new selling price is **$48**.
---
### 3. Calculate the total revenue from selling 150 units at $20 each.
**Step 1:** Multiply the number of units by the price per unit.
\[
150 \times 20 = 3000
\]
**Final Answer:** The total revenue is **$3000**.
---
### 4. Calculate profit from buying and selling shares.
**Step 1:** Calculate the cost of buying the shares.
\[
30 \times 50 = 1500
\]
**Step 2:** Calculate the revenue from selling the shares.
\[
30 \times 55 = 1650
\]
**Step 3:** Subtract the cost from the revenue to find the profit.
\[
1650 - 1500 = 150
\]
**Final Answer:** The profit is **$150**.
---
### 5. Convert 250 hours into minutes.
**Step 1:** Use the conversion factor (1 hour = 60 minutes).
\[
250 \times 60 = 15000
\]
**Final Answer:** 250 hours is **15000 minutes**.
---
### 6. Find the cost of 12 products if 5 cost $250.
**Step 1:** Determine the cost per product.
\[
\text{Cost per product} = \frac{250}{5} = 50
\]
**Step 2:** Multiply the cost per product by the number of products desired (12).
\[
50 \times 12 = 600
\]
**Final Answer:** The cost of 12 products is **$600**.
---
### 7. Divide $600 among 4 friends evenly.
**Step 1:** Divide the total amount by the number of friends.
\[
\frac{600}{4} = 150
\]
**Final Answer:** Each friend will receive **$150**.
### 1. Calculate 15% of $250
**Step 1:** Convert percentage to a decimal.
\[
15\% = \frac{15}{100} = 0.15
\]
**Step 2:** Multiply by the total amount.
\[
0.15 \times 250 = 37.5
\]
**Step 3:** Add the calculated percentage to the original amount.
\[
250 + 37.5 = 287.5
\]
**Final Answer:** The total amount after including the calculated percentage is **$287.50**.
---
### 2. Calculate the new selling price after a 20% markup on a $40 product.
**Step 1:** Convert percentage to a decimal.
\[
20\% = \frac{20}{100} = 0.20
\]
**Step 2:** Calculate the markup amount.
\[
0.20 \times 40 = 8
\]
**Step 3:** Add the markup to the original price.
\[
40 + 8 = 48
\]
**Final Answer:** The new selling price is **$48**.
---
### 3. Calculate the total revenue from selling 150 units at $20 each.
**Step 1:** Multiply the number of units by the price per unit.
\[
150 \times 20 = 3000
\]
**Final Answer:** The total revenue is **$3000**.
---
### 4. Calculate profit from buying and selling shares.
**Step 1:** Calculate the cost of buying the shares.
\[
30 \times 50 = 1500
\]
**Step 2:** Calculate the revenue from selling the shares.
\[
30 \times 55 = 1650
\]
**Step 3:** Subtract the cost from the revenue to find the profit.
\[
1650 - 1500 = 150
\]
**Final Answer:** The profit is **$150**.
---
### 5. Convert 250 hours into minutes.
**Step 1:** Use the conversion factor (1 hour = 60 minutes).
\[
250 \times 60 = 15000
\]
**Final Answer:** 250 hours is **15000 minutes**.
---
### 6. Find the cost of 12 products if 5 cost $250.
**Step 1:** Determine the cost per product.
\[
\text{Cost per product} = \frac{250}{5} = 50
\]
**Step 2:** Multiply the cost per product by the number of products desired (12).
\[
50 \times 12 = 600
\]
**Final Answer:** The cost of 12 products is **$600**.
---
### 7. Divide $600 among 4 friends evenly.
**Step 1:** Divide the total amount by the number of friends.
\[
\frac{600}{4} = 150
\]
**Final Answer:** Each friend will receive **$150**.