Question

the price of a radio was reduced from 120 dollars to 85 dollars. find the percentage decrease in the price

Answer 1

Step-by-step explanation:

Given:-

The price of a radio was reduced from 120 dollars

to 85 dollars.

To find:-

The price of a radio was reduced from 120 dollars

to 85 dollars. find the percentage decrease in

the price

Solution:-

Original price of the radio = 120 dollars

Price of the radio after reduced = 85 dollars

Reduced Price = Original Price - Price after reduced

=> Reduced Price = 120-85

Reduced Price = 35 dollars

Decreasing percentage =

(Reduced Price /Original Price)×100

=>(35/120)× 100

=>(35×100)/120

=>3500/120

=>350/12

=>175/6

=>29.166666....

=>29.17 (correct it upto decimals)

Answer:-

The percentage in decrease in the given price is

29.17% (approximately)

Used formulae:-

• Profit /Loss is always calculated on the Cost Price

• Decrease percentage =

(Reduced Price /Original Price)×100

Answer 2

Answer :

Percentage decrease is 29.16 %.

Given :

• The price of a radio was reduced from 120 dollars to 85 dollars.

To calculate :

• Percen decrease

Calculation :

As we know that,

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

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⇒ Original amount = $ 120⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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Let us calculate the amount of decrease:

⇒ Amount of decrease = Original amount - New amount

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⇒ Amount of decrease = $ 120 - $ 85

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⇒ Amount of decrease = $ 35

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Substituting values :

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

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\rm { \longrightarrow \:Percentage \: decrease = \Bigg \lgroup \dfrac{35}{120} \times 100 \Bigg \rgroup \%}$

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$\rm { \longrightarrow \:Percentage \: decrease = \Bigg \lgroup \dfrac{35}{12} \times 10 \Bigg \rgroup \%}$

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$\rm { \longrightarrow \:Percentage \: decrease = \Bigg \lgroup \dfrac{35}{6} \times 5 \Bigg \rgroup \%}$

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$\rm { \longrightarrow \:Percentage \: decrease = \Bigg \lgroup \dfrac{175}{6} \Bigg \rgroup \% }$

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$\rm \red { \implies \:Percentage \: increase = 29.16 \: \% }$

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Henceforth , percentage decrease is 29.16 %.

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