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Korolek [52]
3 years ago
11

Please help me, the booklet says that the answer is $620, but I need working out

Mathematics
1 answer:
matrenka [14]3 years ago
5 0

<u>Given</u><u> </u><u>details </u><u>:</u>

  • The selling price of a chandelier is $899
  • The profit gained js 45%

<u>To </u><u>find </u><u>:</u>

  • The cost price / Wholesale price

<u>Solution</u><u> </u><u>:</u>

We know that CP is ,

  • \sf\implies\:CP\:=\:\dfrac{100}{100\:+\:P\%}\:\times\:SP

Put the values in the formula ,

  • \sf\implies\:CP\:=\:\dfrac{100}{100\:+\:45\%}\:\times\:899

  • \sf\implies\:CP\:=\:\dfrac{100}{145}\:\times\:899

  • Simplify 899 with 145 that gives us 6.2

  • \sf\implies\::\:CP\:=\:100\:\times\:6.2

  • CP = $620
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Phil can paint the garage in 12 hours and Rick can o it in 10 hours. If they work together for 3 hours and then Phil leaves, how
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Answer:

It will take 4.5 hours for rick to complete the job.

Step-by-step explanation:

Given:

Time taken by Phil to paint the garage = 12 hours.

It means that for each hour he does =  \frac{1}{12}of the job.

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Time taken by Rick to paint the garage = 10 hours.

It means that for each hour he does = \frac{1}{10} of the job

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If they work together for 3 hours,

Phil does job in 3 hrs =  3\times\frac{1}{12} = \frac{1}{4}=0.25

Rick does job in 3 hrs =  3\times\frac{1}{10} = \frac{3}{10}=0.3

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So in three hours of working together job done = 0.3+0.25 = 0.55

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This means job of the painting entire garage have been done 0.55 of it.

1 - 0.55 = 0.45.

So  there is 0.45 job left

At this point Phil quits and Rick presses on by himself. Since he does 1/10 of the garage every hour

Let T represents the time that Rick needs to complete the job after Phil leaves.

Hence, \frac{1}{10}\times T= 0.45\\\\T = 0.45 \times 10\\T =4.5 hrs

Hence it will take rick 4.5 hours to complete the remaining job.

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