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20 A Belgian key-cutter charges 
€3, plus 
€0.57 in VAT, for every key cut. What percentage VAT is being charged?

A Belgian key-cutter charges 3€3, plus 0.57€0.57 in VAT, for every key cut. What percentage VAT is being charged?

Full solution

Q. A Belgian key-cutter charges 3€3, plus 0.57€0.57 in VAT, for every key cut. What percentage VAT is being charged?
  1. Identify total cost and VAT: Identify the total cost and the VAT amount.\newlineThe total cost for cutting one key is €33, and the VAT amount is €0.570.57.
  2. Calculate base cost: Calculate the base cost before VAT.\newlineThe base cost before VAT is the total cost minus the VAT amount.\newlineBase cost =Total costVAT amount= \text{Total cost} - \text{VAT amount}\newlineBase cost =30.57= €3 - €0.57\newlineBase cost =2.43= €2.43
  3. Calculate VAT percentage: Calculate the VAT percentage.\newlineThe VAT percentage is the VAT amount divided by the base cost, then multiplied by 100100 to convert it to a percentage.\newlineVAT percentage = VAT amountBase cost×100\frac{\text{VAT amount}}{\text{Base cost}} \times 100\newlineVAT percentage = €0.57€2.43×100\frac{\text{€0.57}}{\text{€2.43}} \times 100\newlineVAT percentage 23.46%\approx 23.46\%