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A company makes poppy lapel pins.
Each of them costs £1.10 to make.
In October, it made 1000 lapel pins.
35% were given to charities.
The rest are sold in two formats: 60% of them at £3.00 each, 40% of them at £500 for 2.
Assuming that all the lapel pins will be sold by the end of November, work out the percentage profit the company should make.
Give your answer to 1 decimal place.

Respuesta :

Answer:

The required percentage is 65.45%.

Step-by-step explanation:

The total costing is [tex]1000 \times 1.10 = 1100[/tex]

35% were given to the charity, hence 350 were given to the charity.

There are (1000 - 350) = 650 lapel pins remaining.

60% of 650 = [tex]\frac{60}{100} \times 650 = 390[/tex] werre sold for 3.00 each. Hence, earning from here is [tex]390 \times3 = 1170[/tex].

40% of 650 = 260 were sold at 5.00 for 2. It can also be said that [tex]\frac{260}{2} = 130[/tex] were sold at 5.00 each. Earning from this section is [tex]130 \times5 = 650[/tex]

Total earning is (1170 + 650) = 1820.

Profit percentage = [tex]\frac{1820 - 1100}{1100} \times100 = \frac{720}{11} = 65.45[/tex]

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