The price of a bag was 1500 last year it has increased by 30 this year what is the price now

Analysis: When finding the percent increase, we take the absolute value of the difference and divide it by the original value. The resulting decimal is then converted to a percent.

Solution: 

Answer: The percent increase in Ann's pay is 20%.

Let's look at an example of percent decrease.

Analysis: When finding the percent decrease, we take the absolute value of the difference and divide it by the original value. The resulting decimal is then converted to a percent.

Solution: 

Answer: There was a 27.5% decrease in staff.

Percent increase and percent decrease are measures of percent change, which is the extent to which something gains or loses value. Percent changes are useful to help people understand changes in a value over time. Let's look at some more examples of percent increase and decrease.

In Example 1, we divided by 10, which was the lower number. In Example 2, we divided by 40, which was the higher number. Students often get confused by this. Remember that the procedure above asked us to divide by the original value. Another way to remember the procedure is to subtract the old value from the new value and then divide by the old value. Convert the resulting decimal to a percent. The formula is shown below.

Solution: 

Answer: There was an 8% increase in the cost of the item.

Solution: 

Answer: There was a 33.3% decrease in length.

Summary: Percent increase and percent decrease are measures of percent change, which is the extent to which something gains or loses value. Percent change is useful to help people understand changes in a value over time. The formula for finding percent change is:

Exercises

Directions: Each problem below involves percent change. Enter your answer for each exercise without the percent symbol. Round your answer to the nearest tenth of a percent when necessary. For each exercise below, click once in the ANSWER BOX, type in your answer and then click ENTER. After you click ENTER, a message will appear in the RESULTS BOX to indicate whether your answer is correct or incorrect. To start over, click CLEAR.

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How to find the increase percentage?

It can easily be understood if it is expressed as percent. We will follow the following steps to convert the increase into percent.

Step I: First find the increase in value

Step II: Divide it by the original quantity

Step III: Multiply the fraction by 100 and put percent sign (%)

Formula for finding the increase % is Increase in value/Original value × 100 %.

Note: Increase percent is calculated on the original value.

For example:

If price of milk increases from $4 per litre to $5.40 per litre.

Increase in price = $5.40 - $4 = $1.40

and increase % =  Increase in price/Original price × 100 %

                              = 1.40/4 × 100 %

                              = 140/4 %

                              = 35 %

We will apply the concept of solving some real-life problems by using the formula for finding the increase percent.

Solved examples:

1. The price of rice is increased from $10 to $12.50 per kg. Find the percentage increase in price.

Solution:

Price of rice before = $10

Price of rice now = $12.50

Increase in price = current price – original price

                       = $12.50 - $10

                       = $2.50

Therefore, percentage increase in price = Increase in price/Original price × 100 %

                                                      = 2.50/10 × 100 %

                                                      = 250/10 %

                                                      = 25 %

Thus, increase in price= 25 %

2. The population in a small town increases from 20000 to 21250 in one year. Find the percentage increase in population.

Solution:

Population in a small town last year = 20000

Population in a small town after one year = 21250

Increase in population = 21250 - 20000 = 1250

Therefore, percentage increase in population = Increase in population/Last year population × 100 %

          = 1250/20000 × 100 %

          = 125000/20000 %

          = 25/4 %

          = 6.25%

Thus, the increase in population is 6.25%

3. Find the increase value if 150 is increased by 30 %.

Solution:

Increase = 30 % of 150

             = 30/100 × 150

             = 4500/100

             = 45

Therefore, increase value = 150 + 45 = 195

4. By what number must the given number be multiplied to increase the number by 50 %.

Solution:

Let the number be m

Increase in its value = 50 % of m

                            = 50/100 × m

                            = m/2

Therefore, increase value = m + m/2

= (2m + m)/2

= 3m/2

Therefore, the given number must be multiplied by 3/2 to increase the number by 50 %.

Fraction into Percentage

Percentage into Fraction

Percentage into Ratio

Ratio into Percentage

Percentage into Decimal

Decimal into Percentage

Percentage of the given Quantity

How much Percentage One Quantity is of Another?

Percentage of a Number

Increase Percentage

Decrease Percentage

Basic Problems on Percentage

Solved Examples on Percentage

Problems on Percentage

Real Life Problems on Percentage

Word Problems on Percentage

Application of Percentage

8th Grade Math Practice

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