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5. Alistair sells books. He sells each book for £7.60 plus VAT at [tex]\(17 \frac{1}{2} \%\)[/tex]. He sells 1650 books. Work out how much money Alistair receives.

Sagot :

Certainly! Let's break down the problem into a step-by-step solution:

1. Determine the price of each book including VAT:
- The original price of each book is £7.60.
- The VAT rate is 17.5%.

To find the price of each book including VAT, we need to add the VAT to the original price. This can be done by calculating 17.5% of £7.60 and then adding it to the original price.

2. Calculate the VAT amount for one book:
- VAT amount = £7.60 (17.5 / 100)
- VAT amount ≈ £7.60
0.175
- VAT amount ≈ £1.33

3. Add the VAT amount to the original price of one book:
- Price including VAT = £7.60 + £1.33
- Price including VAT ≈ £8.93

4. Calculate the total money received for 1650 books:
- If one book including VAT costs approximately £8.93, for 1650 books, the total money received is:
- Total money received ≈ £8.93 * 1650
- Total money received ≈ £14,734.50

So, Alistair receives approximately £14,734.50 after selling 1650 books with the price including VAT.