Emilie Maguren Mathematics Standard Year 11Revision for Half Yearly Examination 2024 - worksheet \#01(show all working)1. A necklace in Thailand costs 4419 baht after a VAT of 7% has been added. What was its original price, to the nearest baht?
Q. Emilie Maguren Mathematics Standard Year 11Revision for Half Yearly Examination 2024 - worksheet \#01(show all working)1. A necklace in Thailand costs 4419 baht after a VAT of 7% has been added. What was its original price, to the nearest baht?
Understand final price calculation: To find the original price before VAT, we need to understand that the final price is 100% of the original price plus the 7% VAT. This means the final price represents 107% of the original price. We can represent the original price as 100% and set up an equation to find this value.
Denote original price as 'P': Let's denote the original price as ' extit{P}'. The final price after adding 7\% VAT is 107% of ' extit{P}'. Therefore, we can write the equation as 107% of extit{P} = 4419 baht.
Write equation for final price: To solve for P, we convert the percentage to a decimal and write the equation as 1.07×P=4419.
Isolate 'P' in the equation: Now, we divide both sides of the equation by 1.07 to isolate 'P' on one side. This gives us P=1.074419.
Round to nearest baht: Performing the division, we get P=4130.841121495327. Since we need to round to the nearest baht, we round this number to 4131.
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