Number, NAPX-J4-CA35 SA

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

750

Question

The sale price of a second hand car is $4800.

Zilda buys the car for 25% off the sale price.

Zilda has a discount voucher that gives her a further $240 off the sale price.

What percentage of the original price does Zilda pay for the car?

Worked Solution
Sale price = $4800 − (25% × 4800)
= 75% × 4800
= $3600

Purchase price = 3600 − 240
= $3360

∴\therefore Percentage of original price
= 33604800×100\dfrac{3360}{4800} \times 100
= 70%

Question Type

Answer Box

Variables

Variable nameVariable value
question
The sale price of a second hand car is $4800. Zilda buys the car for 25% off the sale price. Zilda has a discount voucher that gives her a further $240 off the sale price. What percentage of the original price does Zilda pay for the car?
workedSolution
| | | | --------------------- | -------------- | | Sale price | \= $4800 − (25% × 4800) | | | \= 75% × 4800 | || \= $3600|

| | | | --------------------- | -------------- | | Purchase price | \= 3600 − 240 | | | \= $3360 |

sm_nogap $\therefore$ Percentage of original price
>>|| |-| |= $\dfrac{3360}{4800} \times 100$| |= {{{correctAnswer0}}}{{{suffix0}}}|
correctAnswer0
70
prefix0
suffix0
%

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer070

%

Variant 1

DifficultyLevel

746

Question

The sale price of an electric guitar is $600.

Kerry buys the guitar for 25% off the sale price.

Kerry has a discount voucher that gives her a further $90 off the sale price.

What percentage of the original price does Kerry pay for the guitar?

Worked Solution
Sale price = 600 − (25% × 600)
= 600 −- 150
= $450

Purchase price = 450 − 90
= $360

∴\therefore Percentage of original price
= 360600×100\dfrac{360}{600} \times 100
= 60%

Question Type

Answer Box

Variables

Variable nameVariable value
question
The sale price of an electric guitar is $600. Kerry buys the guitar for 25% off the sale price. Kerry has a discount voucher that gives her a further $90 off the sale price. What percentage of the original price does Kerry pay for the guitar?
workedSolution
| | | | --------------------- | -------------- | | Sale price | \= 600 − (25% × 600) | | | \= 600 $-$ 150 | || \= $450|

| | | | --------------------- | -------------- | | Purchase price | \= 450 − 90 | | | \= $360 |

sm_nogap $\therefore$ Percentage of original price
>>|| |-| |= $\dfrac{360}{600} \times 100$| |= {{{correctAnswer0}}}{{{suffix0}}}|
correctAnswer0
60
prefix0
suffix0
%

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer060

%

Variant 2

DifficultyLevel

740

Question

The price of a hamburger is $12.00.

On Tuesday at lunchtime, all customers receive 25% off any order.

Llandra has a discount voucher that gives her an extra $1.80 off.

What percentage of the original hamburger price does Llandra pay?

Worked Solution
Sale price = $12 − (25% × 12)
= 12−312 - 3
= $9.00

Purchase price = 9.00 −− 1.80
= $7.20

∴\therefore Percentage of original price
= 7.2012.00×100\dfrac{7.20}{12.00} \times 100
= 6× 1.2010× 1.20×100\dfrac{6 \times\ 1.20}{10 \times\ 1.20} \times 100
= 60%

Question Type

Answer Box

Variables

Variable nameVariable value
question
The price of a hamburger is $12.00. On Tuesday at lunchtime, all customers receive 25% off any order. Llandra has a discount voucher that gives her an extra $1.80 off. What percentage of the original hamburger price does Llandra pay?
workedSolution
| | | | --------------------- | -------------- | | Sale price | \= $12 − (25% × 12) | | | \= $12 - 3$ | || \= $9.00|

| | | | --------------------- | -------------- | | Purchase price | \= 9.00 $−$ 1.80 | | | \= $7.20 |

sm_nogap $\therefore$ Percentage of original price
>>|| |-| |= $\dfrac{7.20}{12.00} \times 100$| |= $\dfrac{6 \times\ 1.20}{10 \times\ 1.20} \times 100$| |= {{{correctAnswer0}}}{{{suffix0}}}|
correctAnswer0
60
prefix0
suffix0
%

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer060

%

Variant 3

DifficultyLevel

743

Question

The sale price of a trampoline is $2400.

Bevan buys the trampoline for 25% off the sale price.

Bevan has a store voucher that gives him a further $840 off the sale price.

What percentage of the original price does Bevan pay for the trampoline?

Worked Solution
Sale price = $2400 − (25% × 2400)
= 2400 −- 600
= $1800

Purchase price = 1800 −− 840
= $960

∴\therefore Percentage of original price
= 9602400×100\dfrac{960}{2400} \times 100
= 4×24010×240×100\dfrac{4 \times 240}{10 \times 240} \times 100
= 40%

Question Type

Answer Box

Variables

Variable nameVariable value
question
The sale price of a trampoline is $2400. Bevan buys the trampoline for 25% off the sale price. Bevan has a store voucher that gives him a further $840 off the sale price. What percentage of the original price does Bevan pay for the trampoline?
workedSolution
| | | | --------------------- | -------------- | | Sale price | \= $2400 − (25% × 2400) | | | \= 2400 $-$ 600 | || \= $1800|

| | | | --------------------- | -------------- | | Purchase price | \= 1800 $−$ 840 | | | \= $960 |

sm_nogap $\therefore$ Percentage of original price
>>|| |-| |= $\dfrac{960}{2400} \times 100$| |= $\dfrac{4 \times 240}{10 \times 240} \times 100$| |= {{{correctAnswer0}}}{{{suffix0}}}|
correctAnswer0
40
prefix0
suffix0
%

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer040

%

Variant 4

DifficultyLevel

737

Question

The sale price of a Labradoodle puppy is $3500.

The pet store gives Veronica 10% off the sale price.

Veronica has a pet store discount voucher that gives her a further $350 off the sale price.

What percentage of the original price does Veronica pay for the Labradoodle puppy?

Worked Solution
Sale price = $3500 − (10% × 3500)
= 3500 −- 350
= $3150

Purchase price = 3150 − 350
= $2800

∴\therefore Percentage of original price
= 28003500×100\dfrac{2800}{3500} \times 100
= 4×7005×700×100\dfrac{4 \times 700}{5 \times 700} \times 100
= 45×100\dfrac{4}{5} \times 100
= 80%

Question Type

Answer Box

Variables

Variable nameVariable value
question
The sale price of a Labradoodle puppy is $3500. The pet store gives Veronica 10% off the sale price. Veronica has a pet store discount voucher that gives her a further $350 off the sale price. What percentage of the original price does Veronica pay for the Labradoodle puppy?
workedSolution
| | | | --------------------- | -------------- | | Sale price | \= $3500 − (10% × 3500) | | | \= 3500 $-$ 350 | || \= $3150|

| | | | --------------------- | -------------- | | Purchase price | \= 3150 − 350 | | | \= $2800 |

sm_nogap $\therefore$ Percentage of original price
>>|| |-| |= $\dfrac{2800}{3500} \times 100$| |= $\dfrac{4 \times 700}{5 \times 700} \times 100$| |= $\dfrac{4}{5} \times 100$| |= {{{correctAnswer0}}}{{{suffix0}}}|
correctAnswer0
80
prefix0
suffix0
%

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer080

%

Variant 5

DifficultyLevel

729

Question

The sale price of a parrot is $400.

The pet store gives Albert 25% off the sale price.

Albert has a pet store discount voucher that gives him a further $60 off the sale price.

What percentage of the original price does Albert pay for the parrot?

Worked Solution
Sale price = $400 − (25% × 400)
= 400 −- 100
= $300

Purchase price = 300 − 60
= $240

∴\therefore Percentage of original price
= 240400×100\dfrac{240}{400} \times 100
= 6×4010×40×100\dfrac{6 \times 40}{10 \times 40} \times 100
= 610×100\dfrac{6}{10} \times 100
= 60%

Question Type

Answer Box

Variables

Variable nameVariable value
question
The sale price of a parrot is $400. The pet store gives Albert 25% off the sale price. Albert has a pet store discount voucher that gives him a further $60 off the sale price. What percentage of the original price does Albert pay for the parrot?
workedSolution
| | | | --------------------- | -------------- | | Sale price | \= $400 − (25% × 400) | | | \= 400 $-$ 100 | || \= $300|

| | | | --------------------- | -------------- | | Purchase price | \= 300 − 60 | | | \= $240 |

sm_nogap $\therefore$ Percentage of original price
>>|| |-| |= $\dfrac{240}{400} \times 100$| |= $\dfrac{6 \times 40}{10 \times 40} \times 100$| |= $\dfrac{6}{10} \times 100$| |= {{{correctAnswer0}}}{{{suffix0}}}|
correctAnswer0
60
prefix0
suffix0
%

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer060

%

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