Now we solve it using a special method: Multiply across the known corners, then divido by the third number And we get this: using the above method 7 (42 x 10)/20 420 / 20 21 N:42 - 10:20 20N = 42 x 10 20N- 420 N. 420/20 N. 21 therefore 21:42 - 10:20 is proportion So you should draw the head 21 long. Therefore 21:42 = 10:20 is proportion because the product of 21 and 20 is the same as the product of 42 and 10 which is 420. PEXERCISE 3.4: Find the missing number in the following 1. 4:6 6:N 2. 4:N = 10:15 3. N:4 - 25:20

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
12:36 D
all al
+ business math midter...
Now we solve it using a special method:
Multiply across the known corners,
then divido by the third number
And we get this:
using the above method
7= (42 x 10)/ 20
= 420 / 20
=21
N:42 = 10:20
20N = 42 x 10
20N = 420
N= 420/20
N= 21 therefore 21:42 - 10:20 is proportion
So you should draw the head 21 long.
Therefore 21:42 = 10:20 is proportion because the product of 21 and 20 is the same
as the product of 42 and 10 which is 420.
PEXERCISE 3.4: Find the missing number in the lollowing
1. 4:6 6:N
2. 4:N = 10:15
3. N:4 = 25:20
4. 8:10 = N:15
5. 8:N = 40:45
6. N:30 = 28:42
7. 48:N = 16:15
8. 20:4 = N:2
9. 24:4 = N:3
10. 6:N= 8:20
11, 2:6 = 8:N
12. N:32 = 2:8
13. 4:5 - 12:N
14. B/N = 40/45
15. N/30 = 28/42
16. 48/N = 16/15
17. N:100 = 1:4
18. 5:N = 140:7
19. 6:N= 12:14
20. 5:3 = N:60
MAH BM Business Mathematical Modue i
RMGumanoy/BRHodrgier
36/41
LESSON 4
GHAPTER 4 COMMISSION: NET PROCEEDS
> Formulas Involvina Commission Problems
II
Transcribed Image Text:12:36 D all al + business math midter... Now we solve it using a special method: Multiply across the known corners, then divido by the third number And we get this: using the above method 7= (42 x 10)/ 20 = 420 / 20 =21 N:42 = 10:20 20N = 42 x 10 20N = 420 N= 420/20 N= 21 therefore 21:42 - 10:20 is proportion So you should draw the head 21 long. Therefore 21:42 = 10:20 is proportion because the product of 21 and 20 is the same as the product of 42 and 10 which is 420. PEXERCISE 3.4: Find the missing number in the lollowing 1. 4:6 6:N 2. 4:N = 10:15 3. N:4 = 25:20 4. 8:10 = N:15 5. 8:N = 40:45 6. N:30 = 28:42 7. 48:N = 16:15 8. 20:4 = N:2 9. 24:4 = N:3 10. 6:N= 8:20 11, 2:6 = 8:N 12. N:32 = 2:8 13. 4:5 - 12:N 14. B/N = 40/45 15. N/30 = 28/42 16. 48/N = 16/15 17. N:100 = 1:4 18. 5:N = 140:7 19. 6:N= 12:14 20. 5:3 = N:60 MAH BM Business Mathematical Modue i RMGumanoy/BRHodrgier 36/41 LESSON 4 GHAPTER 4 COMMISSION: NET PROCEEDS > Formulas Involvina Commission Problems II
12:36 D
I alall
business math midter...
Example: Mark, a saleaman, is paid 6% commission on the first P10.000; 7% on the
next P12,000 and 9% on all sales over P22,000. Last month, his total
sales were P26,300. Find his total commission?
Solution
TH commission = 0.06 x P10,000.00
= P600.00
2d commission = 0.07 x P12,000.00
= P840.00
3" commission -0.09 x P4,300
= P387.00
Total commission = P600.00 + P840.00 + P387.00
P1,287.00
5. OVERRIDE COMMISSION - commission earned from the sales of the representatives
Example: Manny Ortiz, a sales supervisor. Has 8 representatives. He receives a
commission of 15% from his own sales and 3% averride. During the month
of December, Manny made sales amounting to P56,000.00 and his
representatives made P93,500. What was his total earmings of the month?
Solution:
Personal commission
-0.15 x P56,000.00
= P8,400.00
= 0.03 x P93,500.00
= P2,805.00
Override commission
Tatal earnings = Pa,400.00 + P2,805.00
= P11,205.00
EXERCISE 4.1 Finding the amount of Commission: Rate of Commission; Sales or
Amount Collected
Fil each blank with the appropriate number
SALES OR AMOUNT
COLLECTED
P14,500
3.
COMMISSION
RATE OF COMMISSION
1.
2.
3.
4.
8%
9'h%
P1,292.00
P1,125.00
P25,000
P140,800
5%
7 %
5.
6.
7.
8.
P1,350.00
P69.00
P3,000.00
P2.000.00
P88.00
P1,750,00
7%
P11,200.00
P27,000.00
9.
10.
P755.00
11.
P135.60
3%
5,%
P23,350.00
12.
P206.80
P98.75
13.
6%
P5,004.00
P65,000.00
14.
15.
P3,250.00
P5,994.45
35%
16.
17.
P13,321.00
10 ,%
6%%
18.
P7.454.00
19.
P45,000.00
20.
P2,239.00
P89,560.00
MATH BM Business Mathematici Modue
RMGumarioy/BRRodriguer
Poge 38
39/41
PROCEEDS AND NET PROCEEDS
Agepts and collectors charge a certain fee for rendering services to the person
whom they are doing the work. This fee is called commission. The entire amount of
hey collected is called gross proceeds. If the commission and other expenses are
ducted from the gross proceeds, the amount lett is called net proceeds. The
commission is received by the agent while the proceeds is receives by the principal.
II
Transcribed Image Text:12:36 D I alall business math midter... Example: Mark, a saleaman, is paid 6% commission on the first P10.000; 7% on the next P12,000 and 9% on all sales over P22,000. Last month, his total sales were P26,300. Find his total commission? Solution TH commission = 0.06 x P10,000.00 = P600.00 2d commission = 0.07 x P12,000.00 = P840.00 3" commission -0.09 x P4,300 = P387.00 Total commission = P600.00 + P840.00 + P387.00 P1,287.00 5. OVERRIDE COMMISSION - commission earned from the sales of the representatives Example: Manny Ortiz, a sales supervisor. Has 8 representatives. He receives a commission of 15% from his own sales and 3% averride. During the month of December, Manny made sales amounting to P56,000.00 and his representatives made P93,500. What was his total earmings of the month? Solution: Personal commission -0.15 x P56,000.00 = P8,400.00 = 0.03 x P93,500.00 = P2,805.00 Override commission Tatal earnings = Pa,400.00 + P2,805.00 = P11,205.00 EXERCISE 4.1 Finding the amount of Commission: Rate of Commission; Sales or Amount Collected Fil each blank with the appropriate number SALES OR AMOUNT COLLECTED P14,500 3. COMMISSION RATE OF COMMISSION 1. 2. 3. 4. 8% 9'h% P1,292.00 P1,125.00 P25,000 P140,800 5% 7 % 5. 6. 7. 8. P1,350.00 P69.00 P3,000.00 P2.000.00 P88.00 P1,750,00 7% P11,200.00 P27,000.00 9. 10. P755.00 11. P135.60 3% 5,% P23,350.00 12. P206.80 P98.75 13. 6% P5,004.00 P65,000.00 14. 15. P3,250.00 P5,994.45 35% 16. 17. P13,321.00 10 ,% 6%% 18. P7.454.00 19. P45,000.00 20. P2,239.00 P89,560.00 MATH BM Business Mathematici Modue RMGumarioy/BRRodriguer Poge 38 39/41 PROCEEDS AND NET PROCEEDS Agepts and collectors charge a certain fee for rendering services to the person whom they are doing the work. This fee is called commission. The entire amount of hey collected is called gross proceeds. If the commission and other expenses are ducted from the gross proceeds, the amount lett is called net proceeds. The commission is received by the agent while the proceeds is receives by the principal. II
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