VAT on books

The cost of a book in the store is 12.5 euros. How many euros is the VAT of this book? VAT is 10%.

Correct answer:

d =  1.1364 Eur

Step-by-step explanation:


x+d = 12.5
d = 10/100x

x+d = 12.5
d = 10/100·x

d+x = 12.5
100d-10x = 0

Pivot: Row 1 ↔ Row 2
100d-10x = 0
d+x = 12.5

Row 2 - 1/100 · Row 1 → Row 2
100d-10x = 0
1.1x = 12.5


x = 12.5/1.1 = 11.36363636
d = 0+10x/100 = 0+10 · 11.36363636/100 = 1.13636364

d = 25/22 ≈ 1.136364
x = 125/11 ≈ 11.363636

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