Charles buys 30 packs of pens. There are 15 pens in each pack. Each pack costs £2.80. Charles sells each pen for 90p bu

Question

Charles buys 30 packs of pens.
There are 15 pens in each pack.
Each pack costs £2.80.
Charles sells each pen for 90p but he only manages to sell
3
5
of the pens.
How much profit did he make?

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Edana Edana 3 months 2021-08-12T23:41:45+00:00 1 Answers 3 views 0

Answers ( )

    0
    2021-08-12T23:42:52+00:00

    Answer:

    £159

    Step-by-step explanation:

    Charles buys 30 packs of pens.

    There are 15 pens in each pack.

    Each pack costs £2.80.

    Charles sells each pen for 90p but he only manages to sell 3/5 of the pens.

    How much profit did he make?

    Step 1

    Charles buys 30 packs of pens.

    There are 15 pens in each pack.

    The total number of pens in the pack is

    30 packs × 15 pens

    = 450 pens

    Each pack costs £2.80

    Hence:

    1 pack = £2.80

    30 packs = x

    Cross Multiply

    x = 30 × £2.80

    x = £84

    Step 2

    The total number of pens in the pack is

    30 packs × 15 pens

    = 450 pens

    He only manages to sell 3/5 of the pens

    The amount of pens Charlie sells =

    3/5 × 450 pens

    = 270 pens

    Charles sells each pen for 90p

    100p = £1

    90p = x

    Cross Multiply

    100 × x = 90 × £1

    x = 90/100

    x = £0.9

    The amount he sells each pen =

    1 pen = £0.9

    270 pens = x

    Cross Multiply

    x = 270 pens × £0.9

    x = £243

    Step 3

    The profit that he made is calculated as:

    £243 – £84

    = £159

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