1. **Problem (a):** Find the original price of an oven sold at 25% off with a sale price of 251.85.
2. The formula for discount price is:
$$\text{Sale Price} = \text{Original Price} \times (1 - \text{Discount Rate})$$
3. Substitute the known values:
$$251.85 = \text{Original Price} \times (1 - 0.25) = \text{Original Price} \times 0.75$$
4. Solve for Original Price:
$$\text{Original Price} = \frac{251.85}{0.75}$$
5. Show cancellation step:
$$\text{Original Price} = \frac{251.85}{\cancel{0.75}} \times \frac{\cancel{1}}{1}$$
6. Calculate:
$$\text{Original Price} = 335.8$$
7. **Answer (a):** 335.80
8. **Problem (b):** Calculate the price of a 435 refrigerator after a $50 discount and then 15% off.
9. First apply the $50 discount:
$$435 - 50 = 385$$
10. Then apply 15% discount:
$$\text{Final Price} = 385 \times (1 - 0.15) = 385 \times 0.85$$
11. Calculate:
$$\text{Final Price} = 327.25$$
12. **Answer (b):** 327.25
13. **Problem (c):** Find the percent increase in sales from 52,900 to 78,300.
14. Percent increase formula:
$$\text{Percent Increase} = \frac{\text{New} - \text{Old}}{\text{Old}} \times 100$$
15. Substitute values:
$$\frac{78,300 - 52,900}{52,900} \times 100 = \frac{25,400}{52,900} \times 100$$
16. Calculate:
$$0.48 \times 100 = 48\%$$
17. **Answer (c):** 48%
Discount Percent Increase 582848
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