1. **State the problem:** We need to find the selling price of a single book so that the publisher earns a 22% profit, given that 1,250 copies are published and shipping costs R52,500.
2. **Identify the total percentage of expenses:** The pie chart percentages are Advertising 9%, Binding 12%, Printing 21%, Authoring 17%, Materials 27%, and Shipping is the remaining percentage.
3. **Calculate the Shipping percentage:** Total percentage must be 100%, so Shipping % = 100% - (9% + 12% + 21% + 17% + 27%) = 100% - 86% = 14%.
4. **Calculate the total cost of publishing all books:** Shipping cost corresponds to 14% of total expenses.
Let total cost be $C$. Then:
$$0.14 \times C = 52500$$
Solve for $C$:
$$C = \frac{52500}{0.14} = 375000$$
So, total cost to publish 1,250 books is 375,000.
5. **Calculate cost price per book:**
$$\text{Cost per book} = \frac{375000}{1250} = 300$$
6. **Calculate selling price per book for 22% profit:**
Profit = 22% of cost price, so selling price $S$ is:
$$S = 300 + 0.22 \times 300 = 300 \times (1 + 0.22) = 300 \times 1.22 = 366$$
**Final answer:** The selling price of a single book should be **366** to earn a 22% profit.
Book Selling Price 761D7B
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