Math, asked by NamanRaj2006, 3 months ago

Which is bigger,18 per cent of 87,or 87 per cent of 18? do not multiply​

Answers

Answered by poorviujawane
1

Answer:

both are equal

Step-by-step explanation:

18%x87=15.66

18x87%=15.66

hope it will work

please mark this anwer as brainley answer

Answered by sunilsharmaguruji
1

Answer:

Lesson 29

PERCENT OF A NUMBER

Every statement of percent involves three numbers. For example,

8 is 50% of 16.

8 is called the Amount. 50% is the Percent. 16 is called the Base. The Base always follows "of." What you see above is the standard form of any statement of percent.

The Amount is some Percent of the Base.

In a percent problem, we are given two of those numbers and we are asked to find the third. We have already seen how to solve any percent problem with a calculator. The same procedures apply in a written calculation, in which we would typically change the percent to a decimal.

In Lesson 4 we saw how to take 1% and 10% of a number simply by placing the decimal point. Those should be basic skills. What is more, from 1% we can calculate 2%, 3%, and so on. While from 10% we can easily calculate 20%, 30% and any multiple of 10%.

In Lesson 28 we saw how to solve percent problems by understanding that a percent is a ratio. Here, we will continue those problems -- we will see how to find the Amount with a minimum amount of writing. And in Section 3 we will see how to find the Base.

In this Lesson, we will answer the following:

How much is any percent of 100?

How can we find 25% or a fourth of a number?

How do we find 15%?

How can we find the Amount when we know the Base and the Percent?

How can we represent a percent as a fraction?

Section 2

What does ½% mean?

Section 3

How can we find the Base when we know the Amount and the Percent?

We begin with the elementary question:

1. How much is any percent of 100?

32% of 100 = ?

Any percent of 100 is that number.

32% of 100 is 32. 87.9% of 100 is 87.9. 416% of 100 is 416. For as we saw in Lesson 4, percent is an abbreviation for the Latin per centum, which means for each 100. (Per means for each.) A percent is a number of hundredths.

Example 1. A store paid $100 for a jacket. It then raised the selling price by 28%. But a week later it reduced that price by 10%. What was the final selling price?

Solution. 28% of $100 is $28. So the selling price became $128.

10% of that is $12.80. (Lesson 4.)

To subtract $12.80 from $128, round it off to $13:

$128 − $13 = $115, plus $.20 is $115.20.

That was the final selling price.

2. How can we find 25% or a fourth of a number?

Take half of 50%. That is, take half of half.

25%

25% is half of 50%.

Compare Lesson 16.

Example 2. How much is 25% of 60?

Answer. Half of 60 is 30. Half of 30 is 15.

Example 3. How much is 25% of 180?

Answer. Half of 180 is 90. Half of 90 is 45.

Example 4. How much is 25% of 112?

Answer. Half of 112 = Half of 100 + Half of 12 = 56.

Answer. Half of 56 = Half of 50 + Half of 6 = 25 + 3 = 28.

Answer. Lesson 16.

Example 5. How much is 25% of $9.60?

Answer. Half of $9.60 = $4.50 + $.30 = $4.80. Half of $4.80 = $2.40

Example 6. Eighths. How much is 37.5% of $600?

Answer. Upon recognizing that 37.5% means three eighths (Lesson 24), this is not a difficult problem.

(The student should know the eighths; they come up frequently.)

First, a quarter of $600 is half of $300: $150. And an eighth is half of a quarter: $75. Therefore three eighths are three times $75: $225.

Equivalently, one quarter -- $150 -- is two eighths. Therefore, three eighths will be one quarter plus half of one quarter: $150 + $75 = $225.

3. How can we find 15%?

Take 10% and add half.

Example 7. How much is 15% of $70??

Answer. 15% = 10% + Half of 10%

= $7.00 + $3.50

= $10.50.

See Lesson 4, Question 7: How can we take 10%?

Example 8. If you tip at the rate of 15%, and the bill is $40, how much do you leave?

Answer. 15% = 10% + Half of 10%

= $4.00 + $2.00

= $6.00.

In general:

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