Amina wants to buy a pair of runners. (a) She can buy them online for £51.24. The currency conversion rate is €1 = £0.90. Convert £51.24 to euro. Give your answer correct to the nearest cent. (b) The same runners are for sale in a local sports shop for €65. Amina has a voucher for 15% off anything she buys in this shop. Work out how much the runners will cost Amina if she uses this voucher. The local sports shop buys t-shirts for €20 each and sells them for €28 each. (c) (i) Work out the profit on each t-shirt, in euro. (ii) Work out the percentage profit on each t-shirt (as a percentage of the cost price).

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Amina wants to buy a pair of runners - Junior Cycle Mathematics - Question 7 - 2018

Question 7

Amina wants to buy a pair of runners. (a) She can buy them online for £51.24. The currency conversion rate is €1 = £0.90. Convert £51.24 to euro. Give your answer c... show full transcript

Worked Solution & Example Answer:Amina wants to buy a pair of runners - Junior Cycle Mathematics - Question 7 - 2018

Step 1

(a) Convert £51.24 to euro.

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Answer

To convert from pounds to euros, we use the conversion rate of €1 = £0.90.

First, we need to find out how many euros correspond to £51.24:

Set up the conversion: $ext{Euros} = rac{ ext{Amount in Pounds}}{ ext{Conversion Rate}}$
Substitute the values: $ext{Euros} = rac{51.24}{0.90}$
Calculate: $ext{Euros} = 56.9333 ext{...}$
Rounding to the nearest cent gives: $ext{Euros} = €56.93$

Step 2

(b) Work out how much the runners will cost Amina if she uses this voucher.

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Answer

Amina has a voucher for 15% off the €65 price.

Calculate the discount: $ext{Discount} = 0.15 imes 65 = 9.75$
Subtract the discount from the original price: $ext{Final Price} = 65 - 9.75 = 55.25$

Therefore, the runners will cost Amina €55.25 after using the voucher.

Step 3

(c) (i) Work out the profit on each t-shirt, in euro.

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Answer

The cost price of each t-shirt is €20, and they are sold for €28.

Calculate the profit: $ext{Profit} = ext{Selling Price} - ext{Cost Price} = 28 - 20 = 8$

Thus, the profit on each t-shirt is €8.

Step 4

(c) (ii) Work out the percentage profit on each t-shirt (as a percentage of the cost price).

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Answer

To find the percentage profit, we use the formula:

Percentage Profit: $ext{Percentage Profit} = rac{ ext{Profit}}{ ext{Cost Price}} imes 100$
Substitute in the values: $ext{Percentage Profit} = rac{8}{20} imes 100 = 40\%$

Therefore, the percentage profit on each t-shirt is 40%.

Amina wants to buy a pair of runners - Junior Cycle Mathematics - Question 7 - 2018

Worked Solution & Example Answer:Amina wants to buy a pair of runners - Junior Cycle Mathematics - Question 7 - 2018

(a) Convert £51.24 to euro.

(b) Work out how much the runners will cost Amina if she uses this voucher.

(c) (i) Work out the profit on each t-shirt, in euro.

(c) (ii) Work out the percentage profit on each t-shirt (as a percentage of the cost price).

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