2. A coat originally costing $150 is reduced by 25% in a sale and, since nobody...

 

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2. A coat originally costing $150 is reduced by 25% in a sale and, since nobody bought the 1. The cost of a computer is $6000 including 20% sales tax. In a generous gesture, the govern- ment decides to reduce the rate to just 17.5%. Find the cost of the computer after the tax has changed. coat, a further reduction of 20% of the sale price is applied. (a) Find the final cost of the coat after both reductions. (b) Find the overall percentage reduction and explain why this is not the same as a sinal reduction of 45%. 3. A furniture store has a sale of 40% on selected items. A sales assistant, Carol, reduces the price of a sofa originally costing $1200. (a) What is the new price? The manager does not want this sofa to be in the sale and the following day tells another sales assistant, Michael, to restore the sofa back to the original price. He does not know what the original price was and decides to show off his mathematical knowledge by taking the answer to part (a) and multiplying it by 1.4. (b) Explain carefully why this does not give the correct answer of $1200. (c) Suggest an alternative calculation that would give the right answer. 2. A coat originally costing $150 is reduced by 25% in a sale and, since nobody bought the 1. The cost of a computer is $6000 including 20% sales tax. In a generous gesture, the govern- ment decides to reduce the rate to just 17.5%. Find the cost of the computer after the tax has changed. coat, a further reduction of 20% of the sale price is applied. (a) Find the final cost of the coat after both reductions. (b) Find the overall percentage reduction and explain why this is not the same as a sinal reduction of 45%. 3. A furniture store has a sale of 40% on selected items. A sales assistant, Carol, reduces the price of a sofa originally costing $1200. (a) What is the new price? The manager does not want this sofa to be in the sale and the following day tells another sales assistant, Michael, to restore the sofa back to the original price. He does not know what the original price was and decides to show off his mathematical knowledge by taking the answer to part (a) and multiplying it by 1.4. (b) Explain carefully why this does not give the correct answer of $1200. (c) Suggest an alternative calculation that would give the right answer.

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