Izan bought a bracelet at original cost $21 to sell in his handicraft store. The markup was 30% on selling price.

a) Find the selling price.

$ 
 (Round to two decimal places if necessary.)

b) Find the amount of the markup.

$ 
 (Round to two decimal places if necessary.)

To solve this problem, we need to understand the relationship between the original cost, the markup, and the selling price. The given problem states that the markup is 30% on the selling price. 

### a) Find the selling price.

Let $ S $ be the selling price. According to the problem, the markup is 30% of the selling price, and the original cost is $21. Thus, we can express the original cost as the selling price minus the markup:

\[ \text{Original Cost} = S - 0.30S \]

Given that the original cost is $21, we can write:

\[ 21 = S - 0.30S \]

Simplify the equation:

\[ 21 = 0.70S \]

Solve for $ S $:

\[ S = \frac{21}{0.70} \]

\[ S = 30 \]

So, the selling price is $30.

### b) Find the amount of the markup.

The markup is 30% of the selling price. We found the selling price to be $30. Therefore, the markup can be calculated as follows:

\[ \text{Markup} = 0.30 \times 30 \]

\[ \text{Markup} = 9 \]

So, the amount of the markup is $9.

### Summary:

a) The selling price is $ \boxed{30} $ dollars.

b) The amount of the markup is $ \boxed{9} $ dollars.

Would you like more details or have any questions?

Here are some related questions you might find interesting:
1. What would the selling price be if the original cost was $25 and the markup was 25% on the selling price?
2. How would the selling price change if the markup percentage increased to 40%?
3. If the selling price was known to be $35, what would the original cost be with a 30% markup on the selling price?
4. How does the markup percentage affect the relationship between the original cost and the selling price?
5. What is the formula to calculate the selling price given the original cost and the markup percentage?
6. If the original cost was reduced to $18, what would be the new selling price with the same markup percentage?
7. What is the difference between markup based on cost and markup based on selling price?
8. How can we calculate the markup percentage if we know the original cost and the selling price?

**Tip:** When solving markup problems, always clarify whether the markup is based on the cost price or the selling price as it changes the calculation method.

Learn how to calculate the selling price and markup amount when given the original cost and markup percentage. Detailed solution provided with step-by-step calculations and examples. Suitable for high school students.

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