""O  
MATATAG  RACONG  
1. Kim is a salesman and earns a base salary of P3600 per week plus 8%  commission on sales. What was Kim's weekly salary if his total sales for the  week were P22,500?  2. Marina works as a real estate agent. She has just sold a house that  P2,500,000. If Makes makes a 3% commission, how much money did she  make when she sold the house?  3. What is the commission rate of sales agent who received an amount of  P5,800 after selling an appliances that for a total amount of P123,800?  4. Carlo bought a pair of shoes for a price of P2,450 plus the VAT of 10%. How  much is the sales tax he needs to pay aside from the price of the shoes?  5. How much must be paid in total for the items bought in a grocery store in  the amount of P12,564 plus the sales tax of 12.8%?  
Slide 43 of 63  


Let's solve each problem one by one.

### Problem 1
**Kim's Weekly Salary:**

Kim earns a base salary of **P3600** per week plus an **8% commission** on sales. His total sales for the week were **P22,500**.

1. Calculate the commission:  
\[
\text{Commission} = 0.08 \times \text{Sales} = 0.08 \times 22,500 = P1,800
\]

2. Calculate the total weekly salary:  
\[
\text{Weekly Salary} = \text{Base Salary} + \text{Commission} = 3600 + 1800 = P5,400
\]

**Kim's weekly salary is P5,400.**

### Problem 2
**Marina's Earnings as a Real Estate Agent:**

Marina sold a house for **P2,500,000** with a **3% commission**.

1. Calculate the commission:  
\[
\text{Commission} = 0.03 \times \text{Sales} = 0.03 \times 2,500,000 = P75,000
\]

**Marina earned P75,000 from the sale of the house.**

### Problem 3
**Commission Rate of the Sales Agent:**

A sales agent received **P5,800** after selling appliances worth **P123,800**.

1. Let \( r \) be the commission rate.  
\[
\text{Commission Amount} = r \times \text{Sales}
\]

2. Set up the equation and solve for \( r \):  
\[
5800 = r \times 123,800 \implies r = \frac{5800}{123,800} \approx 0.0468
\]

Convert to a percentage:  
\[
r = 0.0468 \times 100 \approx 4.68\%
\]

**The commission rate is approximately 4.68%.**

### Problem 4
**Sales Tax for Carlo's Shoes:**

Carlo bought a pair of shoes for **P2,450** plus a **10% VAT**.

1. Calculate the VAT:  
\[
\text{VAT} = 0.10 \times \text{Price} = 0.10 \times 2,450 = P245
\]

**The sales tax Carlo needs to pay is P245.**

### Problem 5
**Total Payment Including Sales Tax:**

Items were bought for **P12,564** plus a **12.8% sales tax**.

1. Calculate the sales tax:  
\[
\text{Sales Tax} = 0.128 \times \text{Price} = 0.128 \times 12,564 = P1,608.19
\]

2. Calculate the total amount to be paid:  
\[
\text{Total Payment} = \text{Price} + \text{Sales Tax} = 12,564 + 1,608.19 = P14,172.19
\]

**The total amount to be paid is P14,172.19.**

---

Would you like more details or have any questions about these solutions?

### Related Questions:
1. If Kim's commission rate increases to 10%, what would his new weekly salary be?
2. How much would Marina make if the house was sold for P3,000,000 instead?
3. What would the sales agent's commission be if the sales amount doubled?
4. If Carlo received a 15% discount on the shoes before tax, how much would he pay including VAT?
5. If the grocery sales tax increases to 15%, how much more would be paid?

### Tip:
When calculating percentages, remember to convert the percentage to a decimal by dividing by 100.

1. Kim is a salesman and earns a base salary of P3600 per week plus 8% commission on sales. What was Kim's weekly salary if his total sales for the week were P22,500? 2. Marina works as a real estate agent. She has just sold a house for P2,500,000. If she makes a 3% commission, how much money did she make when she sold the house? 3. What is the commission rate of a sales agent who received an amount of P5,800 after selling appliances for a total amount of P123,800? 4. Carlo bought a pair of shoes for a price of P2,450 plus the VAT of 10%. How much is the sales tax he needs to pay aside from the price of the shoes? 5. How much must be paid in total for the items bought in a grocery store in the amount of P12,564 plus the sales tax of 12.8%?

Solve real-world problems involving percentages, including calculating sales commission, tax, and total payments. These problems include finding weekly salary based on commission rates, computing real estate earnings, and determining sales tax for purchased goods. Suitable for students in Grades 9-12.

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