21 a scooter has gst of $42 added to its price.
a what is the value of the scooter before gst?
b what is the price after gst has been added?

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Accepted Answer

{ "quality": "clear", "question_count": 2, "skills_matched": [ "step_cot", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "GST Calculation", "Tax Inclusive Pricing", "Tax Exclusive Pricing" ], "new_concepts": [], "current_concepts": [ "GST Calculation", "Tax Inclusive Pricing", "Tax Exclusive Pricing" ] } ## Calculate the price before GST Using the *GST Calculation* and *Tax Exclusive Pricing* knowledge points $$ \begin{aligned} &\text{GST Rate} = 15\% = 0.15\ &\text{GST Amount} = \$42\ &\text{Price Before GST} = \frac{\text{GST Amount}}{\text{GST Rate}} = \frac{42}{0.15} = \$280 \end{aligned} $$ ## Calculate the price after GST Using the *Tax Inclusive Pricing* knowledge point $$ \begin{aligned} &\text{Price After GST} = \text{Price Before GST} + \text{GST Amount}\ &\text{Price After GST} = 280 + 42 = \$322 \end{aligned} $$ ## Question 21a $280$ ## Question 21b $322$ { "subject": "Mathematics", "question_type": "Multi-part", "knowledge_point": [ "Mathematics", "Algebra", "GST Calculation" ] }

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Question

Explanation:

Calculate the price before GST

Calculate the price after GST

Answer:

Question 21a

Question 21b