Application of Number (level 2) : Task 2
An Ideal House
Note from: Lowri Morgan, Sales manager
To: Designer
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Re: A request to redecorate a bedroom by Mr. and Mrs. Jones.
Mr. and Mrs. Jones have requested a quote for redecorating a bedroom. They have sent a sketch of the rooms as well as directions.
Mr and Mrs Jones are keen to change the carpet, to paint or paper the walls and to install new bedroom furniture, i.e. a new double wardrobe, chest of drawers, two bedside cabinets and a double bed. (Don’t forget the ceiling also has to be painted)
Design a suitable room for the customer and give a quote for the work. The labour cost should be 30% of the cost of the materials (not including VAT), VAT at 15% should be added to the cost of the furniture/equipment, carpet, paint/paper and labour to get the final price.
You should draw a plan showing how the furniture should be installed in the room.
Let me have details of the calculations and a summary of the price so that I can check them.
(As part of the annual audit we are required to show what proportion is the cost of the materials, labour and VAT, so I would appreciate it if you could show all the figures separately)
Lowri Morgan.

Application of Number (level 2) : Task 2
An Ideal House
Plan of the bedroom (the plan is not to scale)
164”
Window
0.91
Window
16”
1.28
0.94
The height of the room is 2.4m
2 doors (including frame) 202cm x 95cm
Large window 145 x 120cm
Small window 50 x 85cm.
There is a skirting (height 15cm) around the room. We would like this and the doors to be painted with white gloss please
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Application of Number (level 2) : Task 2
An Ideal House
The plan
The first thing I noticed is that the room has been measured using a number of different units so the first step is to change all the measurements into metres.
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Once I have done that I’ll be able to work out the floor area and know how much carpet needs to be bought. Then I’ll calculate the area of the walls (excluding the doors and windows) so that I’ll know how much emulsion paint I’ll need. I’m going to paint the ceiling in white and it will have the same area as the floor. Lastly I’ll calculate the area of the skirting to know how much gloss paint to buy.
I could choose my materials in a number of ways e.g, in the shops, looking through catalogues or searching the companies’ websites. For convenience I am going to price all my materials
(carpet, paint, furniture) on the internet. This can be cheaper as well.
The last step is to calculate the cost. Labour is 30% of the cost of the materials not including
VAT, so after calculating the cost of the materials, which will include VAT, I’ll have to divide that sum by 1.15 because the VAT rate at the present time is 15%, so:
Price not including VAT x 1.15 Price including VAT
So 100% + 15% = 115% = 1.15
So because I begin with a price that includes VAT I’ll be making an inverse calculation to get the price not including the VAT.
The labour cost will be worked out by discovering 30% of this sum.
To find out the total cost I’ll have to add the price of the materials not including VAT and the labour, then add VAT (using the method above). This will be the final total.
At the end of the work I’ll send a note to my sales manager that will have a table containing all the costs separately, as well as a plan of the room noting where the customer should place all the furniture to make the best use of the available space.

Application of Number (level 2) : Task 2
An Ideal House
The Calculation
Changing units: 1 inch = 2.54cm (to 2 decimal places)
164 inches = 164 x 2.54 = 416.56cm ≈ 417cm (to the nearest cm)
= 4.17m
16 inches = 16 x 2.54 = 40.66cm = 41cm (to the nearest cm )
= 0.41m
The floor area
I am going to divide the room into three parts, I’’ll calculate the area of each part separately and then add them together to get the total..
4.17m
4 window
0.91m window
A
B
0.41m
0.94m C
1.28m
4.17 – 0.41 = 3.76m
Each part is a rectangle, so: surface area = length x width
Area A: 4.17 x 2.66 = 11.0922 m 2
Area B: 1.75 x 1.28 = 2.24 m 2
Area C: 0.94 x 3.76 = 3.5344 m 2
Total 16.8666 m 2 = 17m 2 to the nearest metre

Application of Number (level 2) : Task 2
An Ideal House
The surface area of the walls
I’ll calculate the wall area by multiplying the perimeter of the room by the height and then subtracting the surface area of the doors and windows.
Perimeter: 4.17 + 0.91 + 1.28 + 1.75 + 1.28 + 0.94 + 3.76 + 0.94 + 0.41 + 2.66 = 18.1 m
Height: 2.4 – 0.15 = 2.25 m
Total - skirting
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Surface area = 18.1 x 2.25 = 40.725 m 2
Doors : 2.02 x 0.95 x 2 = 3.838 m 2
Windows: (1.45 x 1.2) + (0.5 x 0.85) = 2.165 m 2
Surface area to be painted: 40.725 – (3.838 + 2.165) = 34.722m
2 = 35 m 2 (to the nearest m 2 )
Surface area of gloss paint
The doors and windows will be painted with gloss paint so I must find out their total surface area. .
Skirting: perimeter of room x height of the skirting – width of doors = 18.1 x 0.15 – (2 x 0.95)
= 0.815 m 2
Surface area for gloss = doors + skirting
3.838 + 0.815 = 4.653 m 2 = 5 m 2 (to the nearest m 2 )
Buying materials
I am going to search different sites on the internet for the materials I’ll need.
Carpet
Carpetright.com
Carpet is £12.99 y m 2
Cost: £12.99 x 17 = £220.83

Application of Number (level 2) : Task 2
An Ideal House
Wall paint
6
1 litre is sufficient to paint 10 – 12 m 2 so 2.5 litres will cover
2.5 x 10 = 25
2.5 x 12 = 30.
Between 25 and 30 metre 2 . So I’ll have to buy 2 x 2.5 litre tins to have enough paint to cover the surface area of the walls in the room.
Cost of wall paint: 2 x £10.98 = £21.96

Application of Number (level 2) : Task 2
An Ideal House
Paint for the ceiling
7
As the surface area of the ceiling is 17m 2 one 2.5 litre tin will be enough.
Cost of paint for the ceiling: £10.98
Gloss paint (skirting and doors)
One litre covers 6 – 8 m 2 . Surface area to be painted is only 5m 2 so 1 tin will be sufficient.
Cost of gloss paint: £8.38

Application of Number (level 2) : Task 2
An Ideal House
Furniture
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Scandinavian Double Bedroom Package £249.99
This includes all the items needed i.e. double wardrobe, chest of drawers, two bedside cabinets and a double bed.

Application of Number (level 2) : Task 2
An Ideal House
Costs
The next step is to find out the total cost of the materials, because I have priced them in an ordinary shop I know that the price includes VAT.
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Item
Carpet
Pris
£220.83
Wall paint
Ceiling paint
Gloss paint
Furniture
£21.96
£10.98
£8.38
£249.99
Total £512.14
Price not including VAT:
512.14 ÷ 1.15 = £445.34 (to the nearest penny)
Labour Cost:
445.34 x 0.3 = £133.60 (to the nearest penny )
Total cost not including VAT:
445.34 + 133.60 = £578.94
Total cost including VAT :
578.94 x 1.15 = £665.78 (to the nearest penny)
This means that VAT is 665.78 – 578.94 = £86.84
(I can check this by discovering the VAT by itself from the cost not including VAT: 578.94 x
0.15 = £86.84)

Application of Number (level 2) : Task 2
An Ideal House
Note from: DesignerCynllunydd
To: Lowri Morgan, Sales manager
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Re: Quote for redecorating bedroom for Mr and Mrs Jones.
Now I’ve calulated the cost of redecorating a bedroom for Mr and Mrs Jones. I’ve quoted for green paint from B&Q on the walls, white paint on the ceiling and white gloss (as requested) on the skirting and doors. All the furniture come as a package from Argos. This ensures that they co-ordinate and match the room and the rest of the house.
The carpet I have chosen is a neutral light colour to give the impression of a bigger room. It also means that any colours and furniture used in the room will match the carpet.
All the prices and calculations can be seen in detail in the report but there is a summary below as you requested :
Item
Materials (not including VAT): carpet/paint/furniture £445.34
Labour (not including VAT)
VAT (15%)
£133.60
£86.84
TOTAL £665.78
I enclose a scale plan of the room with the furniture in place so that Mr and Mrs Jones will know how to place the furniture to make the best use of the space available. The scale I have used is 1 : 25, (i.e. 1cm represents an actual 25cm, or 4cm is 1m). To calculate the length of every line I had to divide the actual lengths of every item (in cm) by 25 to find the length on the plan.
I hope this meets the requirements