Subjects algebra

Transport Fees

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1. **State the problem:** The cost of transport is 12000 and it is reduced by 10%. The reduced amount is then added to the school fees which is 15000. We need to find the new amounts for transport and school fees. 2. **Formula and explanation:** - To find the reduced cost of transport, use the formula for percentage decrease: $$\text{Reduced cost} = \text{Original cost} - \left(\frac{\text{Percentage decrease}}{100} \times \text{Original cost}\right)$$ - The amount reduced from transport is added to the school fees: $$\text{New school fees} = \text{Original school fees} + \text{Amount reduced from transport}$$ 3. **Calculate the reduced transport cost:** $$\text{Amount reduced} = \frac{10}{100} \times 12000 = 1200$$ $$\text{New transport cost} = 12000 - 1200 = 10800$$ 4. **Calculate the new school fees:** $$\text{New school fees} = 15000 + 1200 = 16200$$ 5. **Final answer:** - Transport cost after reduction: $10800$ - School fees after addition: $16200$