If price of an article becomes 720 after a decrease of 35 what will the price after a increase of 17

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

From Increase Percentage to HOME PAGE

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Welcome to the our Percentage Increase Calculator page.

Here you will our two percentage increase calculators which you can use for finding a percentage increase or decrease.

The first calculator will take an original number and a final number and tell you the percentage increase or decrease.

The second calculator will work out a percentage increase or decrease of a given number.

Take a look at the 3 easy steps below to find the percentage increase or decrease between 2 numbers.

Step 1) Subtract the original number from the final number.

Step 2) Divide this number by the original number.

Step 3) Multiply this number by 100 to convert it to a percentage.

If the number is negative, then it is a percentage decrease, if it is positive then it is an increase.

Take a look at the 3 easy steps below to find how to increase or decrease a number by a given percentage.

Step 1) If the percentage is a percentage increase, then add the percentage to 100% to find the total percentage.

If the percentage is a decrease then work out 100 subtract the given percentage to find the total percentage.

Step 2) Find 1% of the number by dividing it by 100.

Step 3) Find the total percentage you need by multiplying by the total percentage..

Example 1) A long jumper jumps 720cm on his first jump and 756cm on his 2nd jump. Work out the percentage increase.

• We are trying to find the percentage increase between two numbers, so we can use calculator 1 to solve this problem.

Step 1) Subtract the original number from the final number:

756 - 720 = 36cm

Step 2) Divide this number by the original number:

36 ÷ 720 = 0.05

Step 3) Change this to a percentage by multiplying by 100.

0.05 x 100 = 5%

Answer: there is a 5% increase in his jump length.

Example 2) I have $3400 in a bank account. After a year it has increased by 7%. How much do I have now?

• We need to find the answer after a percentage increase, so we need calculator 2 to solve this problem.

Step 1) Find the percentage increase, by adding it to 100.

100% + 7% = 107%

Step 2) Find 1% of $3400 by dividing it by 100.

1% of 3400 = 3400 ÷ 100 = 34.

Step 3) Find 107% by multiplying the result by 107.

107% of 3400 = 34 x 107 = 3638.

Answer: I now have $3638.

Example 3) I buy a bike for $350. I sell the bike for $270 after six months. What was my percentage loss in price to 1 decimal place?

• We are trying to find the percentage decrease between two numbers, so we need calculator 1.

Step 1) Subtract the original number from the final number:

270 - 350 = -80

Step 2) Divide this number by the original number:

-80 ÷ 350 = -0.22857...

Step 3) Change this to a percentage by multiplying by 100.

Step 3) -0.22857 x 100 = 22.857% or 22.9% to 1dp

Answer: there is a 22.9% decrease or loss in price.

Example 4) A bike is priced at $120. It is reduced by 15% in a sale. How much would it cost now?

• We need to find the answer after a percentage decrease, so we need calculator 2.

Step 1) Find the percentage decrease, by subtracing it from 100.

100% - 15% = 85%

Step 2) Find 1% of 120 by dividing 120 by 100.

1% of 120 = 120 ÷ 100 = 1.2

Step 3) Find 85% by multiplying the result by 85.

85% of 120 = 85 x 1.2 = 102

Answer: The bike is on sale for $102.

We have a range of different percentage calculators to use.

Select the one you want to use from the list below.

Our online percentage practice zone gives you a chance to practice finding percentages of a range of numbers.

You can choose your level of difficulty and test yourself with immediate feedback!

If you are still stuck with percentage increases and decreases, try our page on How to Work out percentage change.

There are further worked examples, and more in-depth help on this topic.

We have a wide range of free math calculators to help you.

Most of our calculators show you their working out so that you can see exactly what they have done to get the answer.

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Page 2

Welcome to our 2 Digit Multiplication Worksheets page.

We have plenty of worksheets on this page to help you practice the skills of multiplying 2-digit numbers by 1 or 2 digits.

We have split the worksheets on this page into two sections:

• 2-digit x 1-digit multiplication (3rd grade)
• 2-digit x 2-digit multiplication (4th grade)

Each section ends with some trickier challenge sheets for more able students.

Within each section, the sheets are carefully graded with the easiest sheets first.

These sheets are aimed at 3rd graders.

Sheets 1 to 4 consists of 15 problems; sheets 5 and 6 consist of 20 problems.

Sheets 1 and 2 involve multiplying 2-digit numbers by 2, 3, 4 or 5.

Sheets 3 to 6 involve multiplying a 2-digit number by single digit numbers and finding increasing trickier products.

These 2-digit multiplication worksheets have been designed for more able students who need that extra challenge!

These sheets are aimed at 4th graders.

Sheet 1 involves 2-digit by 2-digit multiplication with smaller numbers and answers up to 1000.

Sheets 2 to 4 have harder 2-digit numbers to multiply and answers that are generally larger than 1000.

These 2-digit multiplication worksheets have been designed for more able students who need that extra challenge!

We have more 2-digit multiplication worksheets, including 2-digit x 3-digit multiplication problems on this page.

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Here you will find a range of Multiplication Worksheets to help you become more fluent and accurate with your tables.

Using these sheets will help your child to:

• learn their multiplication tables up to 10 x 10;
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• solve a range of Multiplication problems.

All the free 3rd Grade Math Worksheets in this section are informed by the Elementary Math Benchmarks for 3rd Grade.

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Using these games will help your child to learn their multiplication facts to 5x5 or 10x10, and also to develop their memory and strategic thinking skills.

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