1. Let's start by stating the problem: Consumer arithmetic involves calculations related to buying and selling goods, including concepts like discounts, profit, loss, cost price, and selling price.
2. Important formulas used in consumer arithmetic include:
- Profit = Selling Price (SP) - Cost Price (CP)
- Loss = Cost Price (CP) - Selling Price (SP)
- Profit Percentage = \frac{Profit}{Cost Price} \times 100
- Loss Percentage = \frac{Loss}{Cost Price} \times 100
- Selling Price after Discount = Marked Price - Discount
3. Key rules to remember:
- If SP > CP, there is a profit.
- If SP < CP, there is a loss.
- Discounts reduce the selling price.
4. Example: Suppose an item costs $100 (CP) and is sold for $120 (SP).
- Profit = $120 - $100 = $20
- Profit Percentage = \frac{20}{100} \times 100 = 20\%
5. Another example: An item marked at $150 is sold with a 10% discount.
- Discount = 10\% of $150 = $15
- Selling Price = $150 - $15 = $135
6. These calculations help consumers and sellers understand pricing, savings, and earnings clearly.
This explanation covers the basics of consumer arithmetic with formulas and examples to aid understanding.
Consumer Arithmetic
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.