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Money Problems

Algebra is widely used to solve real-world financial situations such as pricing, budgeting, business transactions, and investments. Below are essential concepts that are commonly encountered in money-related algebra problems:

1. Cost Price (C or CP)

The original price or amount paid to purchase an item before any markup or discount.

2. Selling Price (S or SP)

The price at which an item is sold to a buyer. This may be greater than, less than, or equal to the cost price.

3. Markup

The amount added to the cost price to obtain the selling price. It reflects the seller’s profit margin.

$$ \text{Markup} = \text{Selling Price} - \text{Cost Price} $$

4. Discount

A reduction in the original selling price, often given as a percentage.

$$ \text{Discount} = \text{Original Price} \times \left( \frac{\text{Discount Rate}}{100} \right) $$

5. Revenue

The total income generated from selling goods or services, without subtracting any costs.

$$ \text{Revenue} = \text{Selling Price} \times \text{Quantity Sold} $$

6. Profit

The financial gain made after subtracting total costs from total revenue.

$$ \text{Profit} = \text{Revenue} - \text{Total Cost} $$

7. Loss

Occurs when the selling price is less than the cost price.

$$ \text{Loss} = \text{Cost Price} - \text{Selling Price} $$
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