Question

pauls business cell phone charges for one month.
(a) the bill shows a total amount due of $158.88,
this includes charges of $38.88.
what percentage of the total amount are the charges?
1
(b) the previous months charge was $207.86 incl gst.
what is the gst exclusive price of last months charges?
2
last month
01 dec 21 previous account balance
$207.86
09 dec 21 payment - thank you
$207.86 cr
this month
plan charges
pricing plan
$104.35
discounts
$26.10 cr
subscribed services
$26.10
total before gst
$104.35
gst (@ standard rate
charges (not subject to gst)
$15.65
current months charges
$38.88
invoice total due 18 jan 22
$158.88
just a friendly reminder to please make your payment before the
due date so you can avoid the late payment fee of $18.40 and any
interruptions to your services.

Explanation:

Step1: Calculate percentage for (a)

The formula for percentage is \(\frac{\text{Part}}{\text{Whole}}\times100\). Here, the part is the charges (\(38.88\)) and the whole is the total amount due (\(158.88\)).

$$ \frac{38.88}{158.88}\times100=\frac{3888}{158.88}\approx24.47\% $$

Step2: Calculate GST - exclusive price for (b)

Let the GST - exclusive price be \(x\). If the price including \(10\%\) GST is \(207.86\), then \(x(1 + 0.1)=207.86\). Solving for \(x\), we get \(x=\frac{207.86}{1.1}=188.96\)

Answer:

(a) Approximately \(24.47\%\)
(b) \(\$188.96\)