Consumer Arithmetic
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.