Answer :
To calculate the price of a necklace without GST, we need to understand the relationship between the price with GST and the GST percentage.
Given:
- Final price with GST included = [tex]$63 - GST percentage = 15% To find the price without GST, we'll denote: - Price without GST as \( P \) The relationship between the final price and the price without GST including the GST percentage can be expressed as: \[ \text{Price with GST} = \text{Price without GST} \times (1 + \frac{\text{GST percentage}}{100}) \] Substituting the known values: \[ 63 = P \times (1 + \frac{15}{100}) \] \[ 63 = P \times 1.15 \] To isolate \( P \), we divide both sides of the equation by 1.15: \[ P = \frac{63}{1.15} \] When we carry out this division: \[ P \approx 54.78260869565218 \] Thus, the price of the necklace without GST is approximately \$[/tex]54.78.
Therefore, the exact and detailed step-by-step solution concludes that the price without including the GST, correctly calculated, is \$54.78.
Given:
- Final price with GST included = [tex]$63 - GST percentage = 15% To find the price without GST, we'll denote: - Price without GST as \( P \) The relationship between the final price and the price without GST including the GST percentage can be expressed as: \[ \text{Price with GST} = \text{Price without GST} \times (1 + \frac{\text{GST percentage}}{100}) \] Substituting the known values: \[ 63 = P \times (1 + \frac{15}{100}) \] \[ 63 = P \times 1.15 \] To isolate \( P \), we divide both sides of the equation by 1.15: \[ P = \frac{63}{1.15} \] When we carry out this division: \[ P \approx 54.78260869565218 \] Thus, the price of the necklace without GST is approximately \$[/tex]54.78.
Therefore, the exact and detailed step-by-step solution concludes that the price without including the GST, correctly calculated, is \$54.78.
