Percentage | What is percentage?

Percentage | What is percentage?

Percentage is the rate per hundred and percent means per hundred i.e. out of hundred. For example 15 percent means 15 out of 100. A percentage is a fraction having the denominator 100. The symbol to denote percent is % of any fraction. Say, 4/25 is equivalent to 16/100 which denotes 16%.

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To convert fraction or decimal into percent:

To convert a fraction or decimal into percent we have to multiply by 100%.

For example: 3/10 = 3/10 × 100% = 30%

                      Similarly,

                      0.36 = 0.36 × 100% = 36%

To convert a percent into fraction:

To convert a percent into fraction we have to divide by 100.
For example: 46% = 46/100 = 23/50
                      Similarly,
                      7.5% = 7.5/100 = 75/1000 = 3/40

To find the percent of quantities:

To find the percent of quantities we convert the percent into fraction and multiply with total quantity.

For example: Take 32% of Rs. 75

                      = 32/100 × Rs. 75

                      = Rs. 24

Workout Examples

Example 1: Among 225 candidates, 20% failed. Find the number of candidates who passed.

Solution: Here,

                        Total candidates = 225

                        Failed = 20% of 225

                                   = 20/100 × 225

                                   = 45

                        ∴ Passed = Total – failed

                                       = 225 – 45

                                       = 180

Example 2: A boy gets 25 marks out of 75. What percent of marks does he get?

Solution: Here,

                  A boy gets 25 out of 75

∴ He got  = 25/75 × 100%

            = 100/3%

            = 33.33%

Example 3: There are 6000 mangoes in a fruit shop, among them 1500 are sold. What percent of mangoes are unsold?

Solution: Here,

                        Total mangoes = 6000

                        Sold mangoes = 1500

                        ∴ Unsold mangoes  = 6000 – 1500

                                                        = 4500

∴ Unsold percent  = 4500/6000 × 100%

                              = 25%

Example 4: 25% of total students in a school are boys. If 150 students were girls, find the number of boys.

Solution: Here,

                        Percent of boys = 25%

                        ∴ Percent of girls = 100 – 25% = 75%

                        No. of girls = 150

                        Let, total students = x

            ∴          75% of x = 150

            or,        75/100 × x = 150

            or,        x = 150 × 100/75

            or.        x = 200

            ∴ Total students = 200

∴ No. of boys = 200 – 150

                       = 50

Example 5: The price of petrol is increased from Rs. 105 per litre to Rs. 125 per litre, what percent is increased?

Solution: Here,

                        Increased price = Rs. 125 – 105

                                                   = Rs. 20

                        ∴ Increased percent = 20/105 × 100%

                                                          = 100/7%

                                                          = 19.05%

You can comment your questions or problems regarding the percentage here.