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22 votes
22 votes
What is the result when the number 24 is increased by 6%?

User Dapa
by
3.1k points

2 Answers

16 votes
16 votes

Answer:

24 increased by 6% = 25.44

Explanation:

Introduction. Percent, p%

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

p% = p 'out of one hundred',

p% is read p 'percent',

p% = p/100 = p ÷ 100.

6% = 6/100 = 6 ÷ 100 = 0.06.

100% = 100/100 = 100 ÷ 100 = 1.

ncrease the number by 6% of its value.

Percentage increase = 6% × 24

New value = 24 + Percentage increase

Calculate the New Value

New value =

24 + Percentage increase =

24 + (6% × 24) =

24 + 6% × 24 =

(1 + 6%) × 24 =

(100% + 6%) × 24 =

106% × 24 =

106 ÷ 100 × 24 =

106 × 24 ÷ 100 =

2,544 ÷ 100 =

25.44

Calculate absolute change (actual difference)

Absolute change (actual difference) =

New value - 24 =

25.44 - 24 =

1.44

Proof.

Calculate percentage increase...

... And see if we get as a result

the absolute change (actual difference).

Percentage increase =

6% × 24 =

6 ÷ 100 × 24 =

6 × 24 ÷ 100 =

144 ÷ 100 =

1.44

So we have proven that the calculations are correct.

For positive numbers

Absolute change (actual difference) =

Percentage increase

Answer:

24 increased by 6% = 25.44

Absolute change (actual difference):

25.44 - 24 = 1.44

User Gaurav Gilani
by
3.1k points
25 votes
25 votes

Answer:

24,06

Explanation:


\sf 24 + 6 \%


\sf = 24 + (6)/(100)


= \sf (2400)/(100) + (6)/(100)


\sf = (2406)/(100)


\sf 24, 06

User Daniel Beck
by
3.0k points