1. Problem 1: A teacher's salary was 3300 after a 10% increase. Find the salary if the increase was 20% instead.
2. Formula: New Salary = Original Salary \times (1 + Increase Rate)
3. First, find the original salary before the 10% increase:
$$\text{Original Salary} = \frac{3300}{1 + 0.10} = \frac{3300}{1.10} = 3000$$
4. Now calculate the salary with a 20% increase:
$$\text{New Salary} = 3000 \times (1 + 0.20) = 3000 \times 1.20 = 3600$$
5. So, the teacher's salary with a 20% increase would be 3600.
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6. Problem 2: A salesman sells a stove for 1825 at a 25% profit. Find the price paid to the manufacturer.
7. Formula: Selling Price = Cost Price \times (1 + Profit Rate)
8. Rearranged to find Cost Price:
$$\text{Cost Price} = \frac{\text{Selling Price}}{1 + \text{Profit Rate}} = \frac{1825}{1 + 0.25} = \frac{1825}{1.25} = 1460$$
9. The salesman paid 1460 to the manufacturer.
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10. Problem 3: A shopkeeper sells a television for 2700 at a 20% profit. Find the cost price.
11. Using the same formula:
$$\text{Cost Price} = \frac{2700}{1 + 0.20} = \frac{2700}{1.20} = 2250$$
12. The shopkeeper paid 2250 for the television.
Final answers:
- Teacher's salary with 20% increase: 3600
- Salesman's cost price: 1460
- Shopkeeper's cost price: 2250
Salary Profit Calculations
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