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Keith buys a new hurl - Leaving Cert Mathematics - Question c - 2022

Question c

Keith buys a new hurl. It usually costs €33. Keith gets a student discount of 15%. Work out the price Keith pays for the hurl. Keith also buys a jersey. This costs ... show full transcript

Worked Solution & Example Answer:Keith buys a new hurl - Leaving Cert Mathematics - Question c - 2022

Step 1

Work out the price Keith pays for the hurl.

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Answer

To calculate the price after the student discount, first determine the amount of the discount:

Calculate 15% of €33:

$ext{Discount} = 0.15 imes 33 = 4.95$
Subtract the discount from the original price:

$ext{Price after discount} = 33 - 4.95 = 28.05$

Thus, the price Keith pays for the hurl is €28.05.

Step 2

Work out the VAT on this jersey.

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Answer

Given that the jersey costs €49.50, including VAT at 23%, we need to find the VAT amount included in this price:

Let the price without VAT be denoted as P. The relation considering VAT is:

$P + 0.23P = 49.50$

Simplifying gives:

$1.23P = 49.50$
To find P, we divide:

$P = \frac{49.50}{1.23} \approx 40.24$
Now, calculate the VAT:

$ext{VAT} = 49.50 - 40.24 = 9.26$

Therefore, the VAT on the jersey is €9.26.

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