To find out how much the government receives as VAT from the total bill of 252,000 that includes VAT at 5%, we can follow these steps:
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Identify the VAT Rate: The VAT rate is 5%, which means the total bill includes both the cost of the computers and the 5% VAT.
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Calculate the Cost Before VAT: We can use the following formula to find the cost before VAT:
\[ \text{Cost before VAT} = \frac{\text{Total Bill}}{1 + \text{VAT rate}} \]
In this case:
\[ \text{Cost before VAT} = \frac{252,000}{1 + 0.05} = \frac{252,000}{1.05} \]
\[ \text{Cost before VAT} = \frac{252,000}{1.05} = 240,000 \]
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Calculate the VAT Amount: Now, we can calculate the VAT amount by subtracting the cost before VAT from the total bill:
\[ \text{VAT Amount} = \text{Total Bill} - \text{Cost before VAT} \]
Alternatively, we can also calculate it directly from the cost before VAT:
\[ \text{VAT Amount} = \text{Cost before VAT} \times \text{VAT rate} = 240,000 \times 0.05 \]
\[ \text{VAT Amount} = 12,000 \]
So, the government receives 12,000 as VAT from the total bill.