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?

£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