Subjects algebra

Discount Calculations F0632E

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Discount Calculations F0632E


1. **Stating the problem:** Mr. Elia has 201900 Tanzania shillings and wants to buy groceries with discounts of 5%, 10%, and 15%. We need to find how much he will pay after each discount. 2. **Formula used:** The amount to pay after a discount is given by: $$\text{Amount to pay} = \text{Original price} \times (1 - \text{Discount rate})$$ where the discount rate is expressed as a decimal. 3. **Calculations:** - For 5% discount: $$201900 \times (1 - 0.05) = 201900 \times 0.95 = 191805$$ - For 10% discount: $$201900 \times (1 - 0.10) = 201900 \times 0.90 = 181710$$ - For 15% discount: $$201900 \times (1 - 0.15) = 201900 \times 0.85 = 171615$$ 4. **Explanation:** We multiply the original amount by the complement of the discount rate (1 minus the discount) to find the final price after discount. **Final answers:** - Amount to pay with 5% discount: 191805 - Amount to pay with 10% discount: 181710 - Amount to pay with 15% discount: 171615