12:36 Dall al+ business math midter...Now we solve it using a special method:Multiply across the known corners,then divido by the third numberAnd we get this:using the above method7= (42 x 10)/ 20= 420 / 20=21N:42 = 10:2020N = 42 x 1020N = 420N= 420/20N= 21 therefore 21:42 - 10:20 is proportionSo you should draw the head 21 long.Therefore 21:42 = 10:20 is proportion because the product of 21 and 20 is the sameas the product of 42 and 10 which is 420.PEXERCISE 3.4: Find the missing number in the lollowing1. 4:6 6:N2. 4:N = 10:153. N:4 = 25:204. 8:10 = N:155. 8:N = 40:456. N:30 = 28:427. 48:N = 16:158. 20:4 = N:29. 24:4 = N:310. 6:N= 8:2011, 2:6 = 8:N12. N:32 = 2:813. 4:5 - 12:N14. B/N = 40/4515. N/30 = 28/4216. 48/N = 16/1517. N:100 = 1:418. 5:N = 140:719. 6:N= 12:1420. 5:3 = N:60MAH BM Business Mathematical Modue iRMGumanoy/BRHodrgier36/41LESSON 4GHAPTER 4 COMMISSION: NET PROCEEDS> Formulas Involvina Commission ProblemsII 12:36 DI alallbusiness math midter...Example: Mark, a saleaman, is paid 6% commission on the first P10.000; 7% on thenext P12,000 and 9% on all sales over P22,000. Last month, his totalsales were P26,300. Find his total commission?SolutionTH commission = 0.06 x P10,000.00= P600.002d commission = 0.07 x P12,000.00= P840.003" commission -0.09 x P4,300= P387.00Total commission = P600.00 + P840.00 + P387.00P1,287.005. OVERRIDE COMMISSION - commission earned from the sales of the representativesExample: Manny Ortiz, a sales supervisor. Has 8 representatives. He receives acommission of 15% from his own sales and 3% averride. During the monthof December, Manny made sales amounting to P56,000.00 and hisrepresentatives 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= P2,805.00Override commissionTatal earnings = Pa,400.00 + P2,805.00= P11,205.00EXERCISE 4.1 Finding the amount of Commission: Rate of Commission; Sales orAmount CollectedFil each blank with the appropriate numberSALES OR AMOUNTCOLLECTEDP14,5003.COMMISSIONRATE OF COMMISSION1.2.3.4.8%9'h%P1,292.00P1,125.00P25,000P140,8005%7 %5.6.7.8.P1,350.00P69.00P3,000.00P2.000.00P88.00P1,750,007%P11,200.00P27,000.009.10.P755.0011.P135.603%5,%P23,350.0012.P206.80P98.7513.6%P5,004.00P65,000.0014.15.P3,250.00P5,994.4535%16.17.P13,321.0010 ,%6%%18.P7.454.0019.P45,000.0020.P2,239.00P89,560.00MATH BM Business Mathematici ModueRMGumarioy/BRRodriguerPoge 3839/41PROCEEDS AND NET PROCEEDSAgepts and collectors charge a certain fee for rendering services to the personwhom they are doing the work. This fee is called commission. The entire amount ofhey collected is called gross proceeds. If the commission and other expenses areducted from the gross proceeds, the amount lett is called net proceeds. Thecommission is received by the agent while the proceeds is receives by the principal.II

Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…

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

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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Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

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

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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