The cost to make each dessert increases to $13.60 .Jed wants to make the same percentage profit.Work out the new selling price.

1. Break Down the Problem

To find the new selling price of the dessert when the cost has increased, we need to determine what percentage profit Jed was making previously and then apply the same percentage to the new cost.

2. Relevant Concepts

1. Let’s denote:

   • $C$ as the cost price of the dessert.
   • $S$ as the selling price of the dessert.
   • $P$ as the profit percentage defined by $P = \frac{S - C}{C} \times 100$.

2. We need to find the new selling price $S'$ given:

   • The new cost price $C' = 13.60$.
   • The profit percentage remains the same.

3. Analysis and Detail

Let’s assume Jed's original selling price and cost price were as follows:

• Assume Jed initially had a cost price $C$ (not given directly, we need this for calculation).

Using the profit formula: $P \% = \frac{S - C}{C} \times 100$

Thus, $S = C + \left(\frac{P}{100} \times C\right) = C(1 + \frac{P}{100})$

For the new cost: $S' = C' \left(1 + \frac{P}{100}\right) = 13.60 \left(1 + \frac{P}{100}\right)$

4. Verify and Summarize

Without the original cost price or selling price, we cannot determine the specific numeric value of the new selling price. If you have the initial cost or profit percentage, we can plug those values into the formula to calculate the new selling price accordingly.

Final Answer

To conclude, the new selling price can be expressed as: $S' = 13.60 \left(1 + \frac{P}{100}\right)$ where $P$ is the initial profit percentage. Please provide the original selling price or cost for an exact numerical answer.