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After deducting 15% discount and 3% cash discount, the cash price including 20% VAT is €4,350.00. How much was the value of the goods?

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Answer to a math question After deducting 15% discount and 3% cash discount, the cash price including 20% VAT is €4,350.00. How much was the value of the goods?

Expert avatar
Neal
4.5
105 Answers
Let the initial value of the goods be x .

Step 1: Calculate the value after a 15% discount:
x - 0.15x = 0.85x

Step 2: Calculate the value after a 3% cash discount:
0.85x - 0.03(0.85x) = 0.85x - 0.0255x = 0.8245x

Step 3: Calculate the value with 20% VAT:
1.20(0.8245x) = 0.9894x = 4350

Step 4: Solve for x :
x=\frac{4350}{0.9894}\approx4396.60

Answer: The initial value of the goods was approximately €4396.60.

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