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Percentages, SM-Bank 064 MC

Bec is buying 40 kilograms of dry dog food for her bullmastiff.

The table below lists the original price and the amount of discount on a 40 kilogram bag of dry dog food at four different pet stores.

40 kg Dry Dog Food Prices
Shop Original price Discount
A. \($220\) \(18\text{%}\)
B. \($245\) \(25\text{%}\)
C. \($250\) \(\dfrac{1}{5}\)
D. \($230\) \($35\text{ off}\)

Which shop has the lowest sale price for the jeans?

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\(A\)

Show Worked Solution

\(\text{Consider the sale price at each shop:}\)

\(\text{A}\) \(= 220-(18\text{%}\times 220)=220-39.60= $180.40\)
\(\text{B}\) \(= 245-(25\text{%}\times 245) = 245-61.25 =$183.75\)
\(\text{C}\) \(= 250-(\dfrac{1}{5}\times 250) = 250-50= $200\)
\(\text{D}\) \(= 230-35 = $195\)

   
\(\therefore\ \text{Shop }A\text{ has the lowest sale price.}\)

\(\Rightarrow A\)

Percentages, SM-Bank 021

A sport store has a sale.
 

What is the difference in the sale prices of these two tents?  (2 marks)

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\($7.50\)

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\(\text{Price of tent 1}\) \(= 85-30\%\times 85\)
  \(= 85-25.5\)
  \(= $59.50\)
\(\text{Price of tent 2}\) \(= 80-35\%\times 80\)
  \(= 80-28.0\)
  \(= $52.00\)

  

\(\therefore\ \text{Price difference}\) \(= 59.50-52\)
  \(= $7.50\)

Percentages, SM-Bank 016 MC

The table below lists the original price and the amount of discount of a pair of jeans at four different shops.
    

JEANS SALE
Shop Original price Discount
A. \($20\) \(25\%\)
B. \($21\) \(\dfrac{1}{3}\)
C. \($18\) \(20\%\)
D. \($17\) \($2\text{ off}\)

    
Which shop has the lowest sale price for the jeans?

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\(B\)

Show Worked Solution

\(\text{Consider the sale price at each shop:}\)

\(\text{A}\) \(= 20-(25\%\times 20) = $15\)
\(\text{B}\) \(= 21-(1/3\times 21) = $14\)
\(\text{C}\) \(= 18-(20 \text{%}\times 18) = $14.40\)
\(\text{D}\) \(= 17-2 = $15\)

 
\(\Rightarrow B\)