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Emilie Maguren Mathematics Standard Year 11
Revision for Half Yearly Examination 2024 - worksheet #01
(show all working)

A necklace in Thailand costs 4419 baht after a VAT of 
7% has been added. What was its original price, to the nearest baht?

Emilie Maguren Mathematics Standard Year 1111\newlineRevision for Half Yearly Examination 20242024 - worksheet \#0101\newline(show all working)\newline11. A necklace in Thailand costs 44194419 baht after a VAT of 7% 7 \% has been added. What was its original price, to the nearest baht?

Full solution

Q. Emilie Maguren Mathematics Standard Year 1111\newlineRevision for Half Yearly Examination 20242024 - worksheet \#0101\newline(show all working)\newline11. A necklace in Thailand costs 44194419 baht after a VAT of 7% 7 \% has been added. What was its original price, to the nearest baht?
  1. Understand final price calculation: To find the original price before VAT, we need to understand that the final price is 100%100\% of the original price plus the 7%7\% VAT. This means the final price represents 107%107\% of the original price. We can represent the original price as 100%100\% and set up an equation to find this value.
  2. Denote original price as 'P': Let's denote the original price as ' extit{P}'. The final price after adding 77\% VAT is 107%107\% of ' extit{P}'. Therefore, we can write the equation as 107%107\% of extit{P} = 44194419 baht.
  3. Write equation for final price: To solve for PP, we convert the percentage to a decimal and write the equation as 1.07×P=44191.07 \times P = 4419.
  4. Isolate 'P' in the equation: Now, we divide both sides of the equation by 1.071.07 to isolate 'P' on one side. This gives us P=44191.07P = \frac{4419}{1.07}.
  5. Round to nearest baht: Performing the division, we get P=4130.841121495327P = 4130.841121495327. Since we need to round to the nearest baht, we round this number to 41314131.