Math, asked by dplenty2000, 4 months ago

if school fees were increased from $2000.00 to $2500.00 per term tmultiplied560 what is the percentage increase.

Answers

Answered by Namansingroly
2

Step-by-step explanation:

'Percent (%)' means 'out of one hundred':

p% = p 'out of one hundred',

p% is read p 'percent',

p% = p/100 = p ÷ 100.

- 12% = - 12/100 = - 12 ÷ 100 = - 0.12.

100% = 100/100 = 100 ÷ 100 = 1.

Increase the number by - 12% of its value.

Percentage increase = - 12% × 560

New value =

560 + Percentage increase =

560 + (- 12% × 560) =

560 - 12% × 560 =

(1 - 12%) × 560 =

(100% - 12%) × 560 =

88% × 560 =

88 ÷ 100 × 560 =

88 × 560 ÷ 100 =

49,280 ÷ 100 =

492.8

Calculate absolute change (actual difference)

Absolute change (actual difference) =

New value - 560 =

492.8 - 560 =

- 67.2

Proof.

Calculate percentage increase:

Percentage increase =

- 12% × 560 =

- 12 ÷ 100 × 560 =

- 12 × 560 ÷ 100 =

- 6,720 ÷ 100 =

- 67.2

For positive numbers

Absolute change (actual difference) =

Percentage increase

Answer:

560 increased by - 12% = 492.8

Absolute change (actual difference):

492.8 - 560 = - 67.2

Signs: % percent, ÷ divide, × multiply, = equal, ≈ approximately equal, / fraction bar;

Writing numbers: comma ',' as thousands separator; point '.' as a decimal mark;

560 increased by - 13% = ?

560 increased by - 11% = ?

560 increased by 1% = ?

Increase number by percentage of its value, calculate percentage increase

Original number:

560

Percentage increase%:

-12

New value

Latest numbers increased by percentage of value

560, percentage increased by - 12% (percent) of its value = 492.8

Jan 12 14:08 UTC (GMT)

6, percentage increased by 5% (percent) of its value = 6.3

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700, percentage increased by 6% (percent) of its value = 742

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1,200, percentage increased by 14.2% (percent) of its value = 1,370.4

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1,650,000, percentage increased by 10% (percent) of its value = 1,815,000

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200, percentage increased by 12.3% (percent) of its value = 224.6

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340, percentage increased by 225% (percent) of its value = 1,105

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10, percentage increased by 500% (percent) of its value = 60

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200, percentage increased by 12.4% (percent) of its value = 224.8

Jan 12 14:07 UTC (GMT)

200, percentage increased by 12.3% (percent) of its value = 224.6

Jan 12 14:07 UTC (GMT)

290, percentage increased by 12% (percent) of its value = 324.8

Jan 12 14:07 UTC (GMT)

29, percentage increased by 33% (percent) of its value = 38.57

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48, percentage increased by 7% (percent) of its value = 51.36

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All the numbers increased by percentages of their values

Increase numbers by percentage of their initial value and calculate the absolute percentage change (difference)

How to calculate the new value of a number when increasing it by percentage of its initial value and how to calculate the absolute percentage change (difference)?

New value = Initial value + Absolute percentage change (difference)

Absolute percentage change (difference) = Percentage increase % × Initial value

=> New value = Initial value + Percentage increase % × Initial value = (1 + Percentage increase %) × Initial value

In conclusion:

New value = (1 + Percentage increase %) × Initial value

Initial value = New value / (1 + Percentage increase %)

Absolute percentage change (difference) = Percentage increase % × Initial value = New value - Initial value

Examples of calculations on how to increase a number by percentage of its initial value (percentage increase) and calculate the absolute percentage change (difference):

If Percentage increase % = 20%, (1 + Percentage increase %) = 1 + 20% = 100/100 + 20/100 = 120/100 = 1.20 => Number increased by value percentage = 1.20 × Initial value, and Initial value = Number increased by value percentage / 1.20; Absolute percentage change = New value - Initial value;

If Percentage increase % = 5%, (1 + Percentage increase %) = 1 + 5% = 100/100 + 5/100 = 105/100 = 1.05 => Number increased by value percentage = 1.05 × Initial value, and Initial value = Number increased by value percentage / 1.05; Absolute percentage change = New value - Initial value;

If Percentage increase % = 124%, (1 + Percentage increase %) = 1 + 124% = 100/100 + 124/100 = 224/100 = 2.24 => Number increased by value percentage = 2.24 × Initial value, and Initial value = Number increased by value percentage / 2.24; Absolute percentage change = New value - Initial value;

If Percentage increase % = -8%, (1 + Percentage increase %) = 1 - 8% = 100/100 - 8/100 = 92/100 = 0.92 => Number increased by value percentage = 0.92 × Initial value, and Initial value = Number increased by value percentage / 0.92; in this case we have in fact a decreasing of the value of the number; Absolute percentage change = New value - Initial value.

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