Malik is curious to know what the cost price of a t-shirt is that he bought for R96,20 and he knows that the mark-up \( 85 \% \). What is the cost price of the \( t \)-shirt?

To find the cost price of the t-shirt, we use the formula involving the selling price (SP) and the markup percentage. The formula can be expressed as: \[ SP = CP + (Markup \times CP) \] Where CP is the cost price and SP is the selling price. Here, we know: - Selling Price (SP) = R96.20 - Markup = 85% or 0.85 We can rearrange the formula to find the cost price: \[ SP = CP(1 + Markup) \] Substituting the known values: \[ 96.20 = CP(1 + 0.85) \] \[ 96.20 = CP(1.85) \] Now, divide both sides by 1.85 to isolate CP: \[ CP = \frac{96.20}{1.85} \approx 51.96 \] So, the cost price of the t-shirt is approximately R51.96.