business mathematics
Download
Skip this Video
Download Presentation
Business Mathematics

Loading in 2 Seconds...

play fullscreen
1 / 28

Business Mathematics - PowerPoint PPT Presentation


  • 102 Views
  • Uploaded on

Business Mathematics. Percentage Formulas. Lesson Objectives. After studying this module, you should be able to: identify percentage, rate and base find the percentage when the rate and the base are given find the rate when the percentage and the base are given

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about 'Business Mathematics' - diamond


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
business mathematics

Business Mathematics

Percentage Formulas

lesson objectives
Lesson Objectives

After studying this module, you should be able to:

  • identify percentage, rate and base
  • find the percentage when the rate and the base are given
  • find the rate when the percentage and the base are given
  • find the base when the percentage and the rate are given
  • apply the concept in solving business-related word problems
lesson content
Lesson Content

Definition of Terms

  • Rate ( R ) – the rate is the percent
  • Base ( B ) – the result obtained when a number is divided by a percent
  • Percentage ( P ) – is the product of the rate (in decimal) and the base.
in symbols
In symbols,

P = R x B

how do you identify percentage rate and base
How do you identify percentage, rate and base?

Study the statement below:

Forty percent of one hundred fifty is sixty.

slide6
Forty percent of one hundred fifty is sixty.

40% x 150 = 60

40% in decimal is 0.40

Therefore, the above statement written in mathematical symbols is

0.40 x 150 = 60

remember
Remember

The quantities to the left and right of the word “of” are the rate and the base, respectively. These two are separated from the percentage by the word “is.”

example 1
Example 1

Sixty percent of one thousand eighty is what number?

Now, let’s identify the parts.

R B P

Sixty percent of one thousand eighty is what number?

60% x 1080 = Percentage (P)

slide9
60% in decimal is 0.60

Therefore, the statement written in mathematical symbols is,

0.60 x 1080 = P

648 = P

example 2
Example 2

Twenty percent of three thousand fifty is what number?

25% x 3,050 = P

0.25 x 3,050 = P

762.5 = P

example 3
Example 3

What number is twenty percent of five hundred seventy?

P = 20% x 570

P = 0.20 x 570

P = 114

slide12
Sometimes, the rate or the base is the one missing. Consider the formula P = R x B, again.

P = R x B

To find rate (R) when P and B are given, divide both sides by B.

Then,

(Note: R here is in decimals)

example 11
Example 1

R B P

What percent of sixty is forty – two?

R x 60 = 42

Since the rate is unknown, use the formula given to solve R.

slide14
Substitute all the given values to the formula.

Change 0.7 to percent, that is, 70%.

recall
Recall

In changing a decimal number to percent form, simply multiply the given decimal number by 100 and affix percent sign (%).

example 21
Example 2

What part of eight hundred ten is one hundred sixty – two?

R x 810 = 162

(simplify )

slide17
Note!

If asked “what part” in solving the rate, the final answer is express in decimal or fraction form.

example 31
Example 3

Thirty is what percent of eighty?

30 = R x 80

R = 0.375

R = 37.5%

slide19
Similarly, to find base (B) when P and R are given, divide both sides of the original formula by R.

That is,

Then,

example 12
Example 1

R B P

Five percent of what number is nine hundred?

5% x B = 900

Since the base is unknown, use the formula given to solve B.

slide21
Substitute all the given values to the formula.

(5% is 0.05 in decimal)

B = 18,000

example 22
Example 2

Eighty percent of what number is three hundred?

80% x B = 300

B = 375

example 32
Example 3

Forty – six is two percent of what number?

46 = 2% x B

B = 2,300

slide24
Note!

It should be noted that the base is usually preceded by the preposition “of”. Sometimes, however, “as great as”, “as many as”, and “as much as” are used instead of “of”.

key concept
Key Concept
  • To find the percentage when the base and the rate are known, multiply the base by the rate.
  • To find the base when the percentage and the rate are given, divide the percentage by the rate expressed in decimal or in fraction form.
  • To find the rate when the percentage and the base are given, divide the percentage by the base.
assessment
Assessment

I. Solve for the value of the unknown.

1. Find 12% of 843.

2. Php 42 is 14% of what amount?

3. What is 35% of 80?

4. 6% of 1,080 is what number?

5. 5% of Php1.50 is what part of of Php30.00?

slide27
II. Solve the following problems:

6. Bamhad 96 pairs of shoes on hand. He sold 50% of them at P85.00 each, 25% of the remainder at P82.50 each and the rest at P80.00 each. How much did he receive for the entire lot?

7. Charm, a government employee was given an increase in salary of Php 880. If this was a raise of 5% of the salary which she had been receiving, what was her previous monthly salary?

slide28
8. Miranda bought a second-hand laptop for Php12,000 and resold it for Php Php9,000. What part of the resale price was the buying price?

9. After investing 60% of her capital in construction. Engineer Ysabel had Php70,000 left. What was her capital?

10. Xayvion, a financial analyst of a certain firm receives a monthly salary of Php45,000 which is

as much as vice-president’s salary. What is the vp’s salary?

ad