Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Your business client has booked accommodation for a staff conference in December and has asked for a G.S.T receipt for the accounts.
He has booked 10 poolside double rooms at the Oasis Beach Resort in Taupo for 2 nights.
The total cost comes to $4880.00 including G.S.T.
How much of this is G.S.T?
$ _____

Your business client has booked accommodation for a staff conference in December and has asked for a G.S.T receipt for the accounts.\newlineHe has booked 1010 poolside double rooms at the Oasis Beach Resort in Taupo for 22 nights.\newlineThe total cost comes to $4880.00 \$ 4880.00 including G.S.T.\newlineHow much of this is G.S.T?\newline$_____ \$ \_\_\_\_\_

Full solution

Q. Your business client has booked accommodation for a staff conference in December and has asked for a G.S.T receipt for the accounts.\newlineHe has booked 1010 poolside double rooms at the Oasis Beach Resort in Taupo for 22 nights.\newlineThe total cost comes to $4880.00 \$ 4880.00 including G.S.T.\newlineHow much of this is G.S.T?\newline$_____ \$ \_\_\_\_\_
  1. Calculate GST Amount: In New Zealand, the current rate of GST is 15%15\%. To find the amount of GST included in the total cost, we can use the formula: GST Amount=Total Cost(Total Cost/(1+GST Rate))\text{GST Amount} = \text{Total Cost} - (\text{Total Cost} / (1 + \text{GST Rate})). Let's calculate the GST amount from the total cost of $4880.00\$4880.00.
  2. Convert GST Rate: First, we need to express the GST rate as a decimal for the calculation. The GST rate is 15%15\%, which as a decimal is 0.150.15.
  3. Calculate Total Cost without GST: Now, we will calculate the total cost without GST by dividing the total cost by 11 plus the GST rate.\newlineTotal Cost without GST = Total Cost / (1+GST Rate)(1 + \text{GST Rate})\newlineTotal Cost without GST = $4880.00\$4880.00 / (1+0.15)(1 + 0.15)\newlineTotal Cost without GST = $4880.00\$4880.00 / 11.1515
  4. Subtract Total Cost: Performing the division to find the total cost without GST.\newlineTotal Cost without GST = $4880.00/1.15\$4880.00 / 1.15\newlineTotal Cost without GST = $4243.48\$4243.48 (rounded to two decimal places)
  5. Find GST Amount: Now, we subtract the total cost without GST from the total cost to find the GST amount.\newlineGST Amount = Total Cost - Total Cost without GST\newlineGST Amount = $4880.00\$4880.00 - $4243.48\$4243.48
  6. Find GST Amount: Now, we subtract the total cost without GST from the total cost to find the GST amount.\newlineGST Amount = Total Cost - Total Cost without GST\newlineGST Amount = $4880.00\$4880.00 - $4243.48\$4243.48Performing the subtraction to find the GST amount.\newlineGST Amount = $4880.00\$4880.00 - $4243.48\$4243.48\newlineGST Amount = $636.52\$636.52

More problems from Solve quadratic equations: word problems