, 6 Module 51 MATH SOLVING WORD PROBLEMS INVOLVING COMMISSION A DepEd-BEAM Distance Learning Program supported by the Australian Agency for International Development
To the Learner Good morning! We have just finished solving word problems involving percent change. And now we have to move on solving word problems involving commission. Let s Learn This In this module, you will learn what commission is; apply the concept of commission to real-life situations and solve problems involving commission. Let s Try This Read and understand the problem below. Then write your answer on the blank. A salesperson s commission rate in 20%. What is the commission from the sale of 12,500 pesos worth of refrigerator? key. What s your answer? Check your answer from the given answer - 92 -
Let s Study This Mr. Santos wants to sell the lot he inherited for 1 million pesos. How much commission would a sales agent gets if he is entitled to a 5% commission? How much is the net price of the lot? Solution: To solve for the commission, use this formula. Commission = commission rate x sales = 5% x 1,000,000 pesos =.05 x 1,000,000 = 50,000 pesos commission of the agent 1,000,000 50,000 pesos = 950,000.00 is the net price of the lot. - 93 -
Another example: Rey s commission rate is 10%. What is his commission on sales of 576,800.00 pesos? Solution: Commission = 10% x 576,800.00 pesos =.10 x 576,800.00 pesos = 57,680.00 pesos Let s Do This Compute the commission. 1. Rate of commission: 10% Total sales: 35,000 pesos 2. Rate of commission: 20% Total sales: 160,000 pesos 3. Rate of commission: 21% Total sales: 290,000 pesos 4. Rate of commission: 12% Total sales: 42,500 pesos 5. Rate of commission: 15% Total sales: 210,000 pesos - 94 -
Let s Do More Complete the table below. Commission Rate Total Sales Commission 1. 15% 35,000,00 pesos 2. 45% 240,000 pesos 3. 13% 110,000,000 4. 17% 230,000,000 5. 5% 123,000 6. 10% 210,000,000 7. 12% 4,890,000 Let s Remember This Commission is a percentage of the total sales or amount received for a business transaction. Commission rate is the percent used to determine the commission. We can apply the formula P = R x B in solving problems involving commissions, where P represents the commission, R is the commission rate and B the total sales or amount. To find the total sales when the net proceeds and the commission rate are known, find the percent of the net proceeds by subtracting the commission rate from 100%, and dividing the net proceeds by their difference (percent in decimal form). - 95 -
Let s Test Ourselves A. Find the commission. 1. Rate of commission: 8% Total sales: 2,500 pesos 2. Rate of commission: 11% Total sales: 30,000 pesos 3. Rate of commission: 23% Total sales: 95,000 pesos B. Complete the table below. Commission Total Sales Commission 1. 15% 355,000 pesos 2.35% 9,900,000 pesos C. Solve. Write your answer on the blank provided. 1. Marco sells newspaper and he s given 15% commission of his total sales. If he collected 935.75 pesos, how much was his commission? 2. A lawyer won a case of a client who inherited some properties. How much commissions will he get of he is given 20% of the 15,000,000.00 worth of assets? - 96 -
3. What is the commission made on a sale worth 2,250 pesos with an 8% commission rate? 4. What is the commission rate on a sale worth 9,000 with a commission of 540 pesos? 5. Find the commission rate on a total sale of 7,500 pesos and commission of 750 pesos. Let s Consider This Kindly check your answers. Refer your answers from the answer key given. What is your score? If your score is 8-10, proceed to the next module. If your score is 5-7, do the Let s Enrich This. If your score is below 5, review the whole module. Good Luck! - 97 -
Let s Enrich Ourselves A. Compute the commission. Commission Rate Total Sales Commission 1. 13% 99,000 pesos 2. 20% 3,500,000 pesos 3. 15% 25,600 pesos B. Solve the given problems. 1. A sales agent is entitled to a 12% commission on all his sales. If he was able to sell 450,000 pesos worth of goods, how much commission would he get? 2. Solve for the total sales of a product if a salesperson earned a commission of 1,200 pesos at a 4% of commission rate? - 98 -
Answer Key Let s Try This Answer: 12,500 pesos x.20 = 2,500 pesos Let s Do This 1. 3,500 pesos 2. 32,000 pesos 3. 60,900 pesos 4. 5,100 pesos 5. 31,500 pesos Let s Do More 1. 5,250,000 pesos 2. 108,000 pesos 3. 14,300,000 pesos 4. 39,100,000 pesos 5. 6,150 pesos 6. 21,000,000 pesos 7. 586,800 pesos - 99 -
Let s Test Ourselves A. B. 1. 200 pesos 1. 53,250 pesos 2. 3,300 pesos 2. 3,465,000 pesos 3. 21,850 pesos C. 1. 140.40 pesos 2. 3,100,000 pesos 3. 180 pesos 4. 6% 5. 10% Let s Enrich Ourselves A. 1. 12,870 pesos 2. 700,000 pesos 3. 3,840 pesos B. 1. 54,000 2. 30,000-100 -