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v1 Financial Maths, STD2 F1 2024 HSC 8 MC

A bill for servicing a car is made up of:

    • $275 for parts, which includes 10% GST
    • $120 for labour, excluding GST.

The mechanic needs to add 10% GST onto the labour charge.

How much GST does the customer pay in total?

  1. $27.50
  2. $30.00
  3. $35.50
  4. $37.00
Show Answers Only

\(D\)

Show Worked Solution

\(\text{Let } X = \text{ parts cost ex-GST}\)

  \(X + X \times 0.1\) \(= 275\)
  \(1.1X\) \(= 275\)
  \(X\) \(= 250\)

 
\(\text{Total GST} = 0.1(250 + 120) = \$37.00\)

\(\Rightarrow D\)

♦ Mean mark 43%.