A typist uses a sheet measuring 20 cm by 30 cm lengthwise. If a margin of 2 cm is left on each side and a 3 cm margin on top and bottom, then what is the percent of the page used for typing?

Given:

Length of paper = 20 cm  

Breadth of paper = 30 cm

Margin of 2 cm is left on each side and a 3 cm margin on top and bottom.

To find: Here we have to find the percent of the page used for typing.

Solution:

Length of sheet = 20 cm  

Breadth of sheet = 30 cm

So,

Area of the sheet = Length $\times$ Breadth

Area of the sheet = 20 $\times$ 30 cm²  

Area of the sheet = 600 cm² 

Now,

Margin on left and right = 2 cm  

Margin at top and bottom = 3 cm

Therefore,

Length of usable paper = 20 cm $-$ 2 cm $-$ 2 cm = 16 cm

Breadth of usable paper = 30 cm $-$ 3 cm $-$ 3 cm = 24 cm  

So,

Area of usable paper = Length $\times$ Breadth

Area of usable paper = 16 $\times$ 24 cm²  

Area of usable paper = 384 cm² 

Calculating % of the page used for typing:

% area used for typing = $\frac{Area\ of\ usable\ paper}{Total\ area\ of\ the\ sheet} \ \times \ 100$

% area used for typing = $\frac{384}{600} \ \times \ 100$

% area used for typing = 64 %

So, 64% of the page is used for typing.

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Updated on: 10-Oct-2022

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