A sports shop buys t-shirts for €25 and sells them for €49 - Junior Cycle Mathematics - Question 2 - 2017

To find the margin, we use the profit calculated earlier:

Profit = €24.

We also need the selling price, which is €49. The margin is calculated as follows:

ext{Margin} = rac{ ext{Profit}}{ ext{Selling Price}} imes 100 = rac{24}{49} imes 100 \\ ext{Margin} \\ = 48.97959184 ext{...}

Rounding to the nearest percent, the margin for the t-shirts is 49%.

Given that the runners have a mark up of 50%, we use the following relation:

Let the cost price be C. The selling price (S) becomes:

o $S = C + ext{Mark up} = C + 0.5C = 1.5C$

To find the margin, we first need the profit:

Profit = Selling Price - Cost Price = $1.5C - C = 0.5C$.

Now we calculate the margin as follows:

o ext{Margin} = rac{ ext{Profit}}{ ext{Selling Price}} imes 100 = rac{0.5C}{1.5C} imes 100 = rac{1}{3} imes 100 = 33.33

Rounding to the nearest percent, the margin for the runners is 33%.