F.3 Maths (percentage change) 急!!( 20)

2008-09-27 12:46 am
1)In the cost of cigarettes, 12.5%is on raw materials, 37.5% on labour and
50% on advertisement. If both the materials and labour cost are increase 10%while
advertisement cost is decrease by 5%, find the percentage change
the ans is +2.5%
I need the steps !! pls teach me!! (20)

回答 (1)

2008-09-27 12:55 am
✔ 最佳答案
Let original cost of cigarettes = P.
Therefore, original cost of raw material = 0.125P.
Original cost of labour = 0.375P.
Original cost of advertisement = 0.5P
New cost of raw material = (0.125P)(1.1) = 0.1375P.
New cost of labour = (0.375P)(1.1) = 0.4125P.
New cost of advertisement = (0.5P)(0.95) = 0.475P.
So total new cost = 1.025P.
So % change in cost =(1.025P - P)/P x 100% = 0.025 x 100% = + 2.5%


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