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Number, NAP-K3-NC08 SA

Michael purchases a 3D printer worth $2 490 000.

He was given a 10% discount.

What was the price paid by Michael after the discount?

$    
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`$2\ 241\ 000`

Show Worked Solution
`text(Discount)` `= 10text(%) xx 2\ 490\ 000`
  `= 249\ 000`

 

`:.\ text(Price)` `= 2\ 490\ 000 – 249\ 000`
  `= $2\ 241\ 000`

Number, NAP-A3-CA24

A hockey stick is on sale, reduced from $220 to $165.

What percentage discount has been applied?

`text(25%)` `text(33%)` `text(45%)` `text(55%)`
 
 
 
 
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`text(25%)`

Show Worked Solution
`text(Discount)` `= text(reduction)/text(original price) xx 100`
  `= ((220 – 165))/220 xx 100`
  `= 25text(%)`

Number, NAP-J3-CA30 SA

Don buys a cricket ball, originally marked $30, that is discounted by 25%.

He also has a loyalty card that gives him another 20% off the sale price.

What is the final cost of the ball?

$  
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`$18`

Show Worked Solution

`text(Solution 1)`

`text(Sale price)` `= 30 – (25text(%) xx 30)`
  `=30 – 7.50`
  `= $22.50`

 

`:.\ text(Final cost)` `= 22.50 – (20text(%) xx 22.50)`
  `= $18`

 

`text{Solution 2 (advanced)}`

`text(Final cost)` `= 30 xx 0.75 xx 0.8 `
  `= $18`

Number, NAP-I3-CA23

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

 

 
Which shop has the lowest sale price for the jeans?

`text(A)` `text(B)` `text(C)` `text(D)`
 
 
 
 
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`text(Shop B)`

Show Worked Solution

`text(Consider the sale price at each shop:)`

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

 

`:.\ text(Shop B has the lowest sale price.)`

Number, NAP-I3-NC27 SA

A box of golf balls normally cost $19.50.

During a sale, the golf shop took 10% off the regular price of the balls.

What is the new sale price of the golf balls?

$  
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`$17.55` 

Show Worked Solution
`text(10% discount)` `= 19.50/10`
  `= $1.95`

 

`:.\ text(Sale price)` `= $19.50 – $1.95`
  `= $17.55`