Question

A picture of chess board is given. 

(i) Find the percentage of the white coloured squares 

(ii) Find the percentage of gray coloured squares 

(iii) Find the percentage of the squares that have the pieces and 

(iv) The squares that do not have the pieces.

Answer 1

(i) Total number of squares in the chess board = 64 

Number of white coloured squares = 32

Percentage = \(\frac{32}{64}\) x \(\frac{100}{100}\)

= \(\frac{32}{64}\) x 100 % 

= 50%

(ii) Grey coloured squares = 64 

Percentage = \(\frac{32}{64}\) x \(\frac{100}{100}\)

= \(\frac{32}{64}\) x 100 % 

= 50 %

(iii) Number of squares having pieces = 20 

Total number of squares = 64

(iv) Number of squares do not have pieces = 44