https://file.aiquickdraw.com/mathbot/file/1728999748225ig180rjz.jpg

Let's work through the problem:

### Given formula:
\[
x = \frac{100(S - C)}{C}
\]
Where:
- $ x $ is the profit percentage.
- $ S $ is the selling price.
- $ C $ is the cost price.

### Part (a) Make $ C $ the subject of the formula.

We want to rearrange the formula to solve for $ C $.

1. Start with:
\[
x = \frac{100(S - C)}{C}
\]
2. Multiply both sides by $ C $ to eliminate the denominator:
\[
xC = 100(S - C)
\]
3. Expand the right-hand side:
\[
xC = 100S - 100C
\]
4. Move all terms involving $ C $ to one side:
\[
xC + 100C = 100S
\]
5. Factor out $ C $ on the left-hand side:
\[
C(x + 100) = 100S
\]
6. Finally, solve for $ C $:
\[
C = \frac{100S}{x + 100}
\]

So, the formula for $ C $ is:
\[
C = \frac{100S}{x + 100}
\]

---

### Part (b) Given information:
- Selling price of 3 tablet computers is $15,000.
- Profit percentage $ x = 25\% $.

First, we need the selling price for one tablet, which is:
\[
S = \frac{15,000}{3} = 5,000
\]

Now, substitute into the formula for $ C $:
\[
C = \frac{100 \times 5,000}{25 + 100}
\]
\[
C = \frac{500,000}{125}
\]
\[
C = 4,000
\]

Thus, the cost price of one tablet computer is **$4,000**.

---

Do you have any questions or need further details? Here are some related questions to consider:

1. What would happen to the cost price if the profit percentage doubled?
2. How does changing the selling price affect the profit percentage?
3. If the profit percentage was negative, what would that mean for the business?
4. Can you express the selling price $ S $ in terms of $ C $ and $ x $?
5. How would the cost price change if the selling price were reduced to $4,500?

**Tip:** Always double-check units (like percentages and currency) to ensure consistency in calculations.

If the cost price and the selling price of a tablet computer are $C and $S respectively, the profit per cent x% can be calculated by the formula: x = 100(S - C) / C. (a) Make C the subject of the formula. (b) If the selling price of three tablet computers is $15,000 and the profit per cent is 25%, find the cost price of a tablet computer.

Learn how to rearrange the formula for profit percentage to make the cost price the subject. Calculate the cost price of a tablet computer when given the selling price and profit percentage, with detailed step-by-step solutions. Suitable for students in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation