Question

Assertion: By decreasing 25% of 2425% of 24 we get 1818

Reason: Decrease %=DecreaseOriginal value×100%​

Answer 1

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Answer:

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

p% = p 'out of one hundred',

p% is read p 'percent',

p% = p/100 = p ÷ 100.

- 25% = - 25/100 = - 25 ÷ 100 = - 0.25.

100% = 100/100 = 100 ÷ 100 = 1.

Decrease number by - 25% of its value.

Percentage decrease = - 25% × - 24

To decrease a negative number, do not subtract from it,

but add the 'percentage decrease'.

New value = - 24 + Percentage decrease

Calculate the New Value

New value =

- 24 + Percentage decrease =

- 24 + (- 25% × - 24) =

- 24 - 25% × - 24 =

(1 - 25%) × - 24 =

(100% - 25%) × - 24 =

75% × - 24 =

75 ÷ 100 × - 24 =

75 × - 24 ÷ 100 =

- 1,800 ÷ 100 =

- 18

Calculate absolute change (actual difference)

Absolute change (actual difference) =

New value - (- 24) =

- 18 - (- 24) =

- 18 + 24 =

6

Proof.

Calculate percentage decrease:

Percentage decrease =

- 25% × - 24 =

- 25 ÷ 100 × - 24 =

- 25 × - 24 ÷ 100 =

600 ÷ 100 =

6

For negative numbers

Absolute change (actual difference) =

Percentage decrease

Answer:

- 24 decreased by - 25% = - 18

Absolute change (actual difference):

- 18 - (- 24) = - 18 + 24 = 6

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