Question

The cost of milk increases from 70p to 84p .What is the precentage increase.

Answer 1

Answer :

Percentage increase is 14.28 %.

Given :

• The cost of milk increases from 70p to 84p .

To calculate :

• Percen increase

Calculation :

As we know that,

${\underline {\boxed {\rm {\longrightarrow Percentage \: increase = \Bigg \lgroup \dfrac{Amount \:of \: increase}{Original \: Amount} \times 100 \Bigg \rgroup \% } }}}$

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⇒ Original price = 70p

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Let us calculate the amount of increase:

⇒ Amount of increase = New price – Original Price

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⇒ Amount of increase = 80p - 70p

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⇒ Amount of increase = 10p

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Substituting values :

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$\rm { \longrightarrow \:Percentage \: increase = \Bigg \lgroup \dfrac{Amount \:of \: increase}{Original \: Amount} \times 100 \Bigg \rgroup \%}$

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$\rm { \longrightarrow \:Percentage \: increase = \Bigg \lgroup \dfrac{10p}{70p} \times 100 \Bigg \rgroup \%}$

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$\rm { \longrightarrow \:Percentage \: increase = \Bigg \lgroup \dfrac{10}{70} \times 100 \Bigg \rgroup \%}$

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$\rm { \longrightarrow \:Percentage \: increase = \Bigg \lgroup \dfrac{1}{7} \times 100 \Bigg \rgroup \% }$

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$\rm { \longrightarrow \:Percentage \: increase = \Bigg \lgroup \dfrac{100}{7} \Bigg \rgroup \% }$

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$\rm \red { \implies \:Percentage \: increase = 14.28 \: \% }$

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Henceforth , percentage increase is 14.28 %.

More formulae :

${\underline {\boxed {\rm {\longrightarrow Percentage \: increase = \Bigg \lgroup \dfrac{Amount \:of \: increase}{Original \: Amount} \times 100 \Bigg \rgroup \% } }}}$

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${\underline {\boxed {\rm {\longrightarrow Percentage \: decrease = \Bigg \lgroup \dfrac{Amount \:of \: decrease}{Original \: Amount} \times 100 \Bigg \rgroup \% } }}}$

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${\underline {\boxed {\rm {\longrightarrow Percentage \: error = \Bigg \lgroup \dfrac{error}{actual \: value} \times 100 \Bigg \rgroup \% } }}}$