17. (a) The formula with CP subject is [tex]CP=\frac{SP}{1.1}[/tex]
(b) The Cost Price of item without GST is $59.50
(c) The GST of item is $5.95
Step-by-step explanation:
Given formula is;
SP = 1.1 * CP
SP = Selling price
CP = Cost price
(a) Rearrange the formula to make CP the subject;
SP = 1.1 * CP
Dividing both sides by 1.1
[tex]\frac{SP}{1.1}=\frac{1.1*CP}{1.1}\\\\\frac{SP}{1.1}=CP\\\\CP=\frac{SP}{1.1}[/tex]
The formula with CP subject is [tex]CP=\frac{SP}{1.1}[/tex]
(b) Use your formula from (a) to find the Cost Price of an item without GST if the selling price is $65.45
SP = $65.45
[tex]CP=\frac{65.45}{1.1}\\\\CP=\$59.50[/tex]
The Cost Price of item without GST is $59.50
(c) Calculate the amount of GST on an item whose selling price is $65.45.
GST = 10% of CP
GST = [tex]\frac{10}{100}*CP[/tex]
GST = 0.1CP
From part (b)
CP = $59.50
GST = 0.1 * 59.50
GST = $5.95
The GST of item is $5.95
Keywords: percentage, multiplication
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