What is the number of matches draw by Srilanka if the ratio between matches won by India and Austral...........

Quantitative Aptitude ( CCS) Data Table

Direction: Following is a tabulation of Number of ODI Cricket Matches Played, won, lost and drawn by five different countries in the year 2016 with some missing data. Read the table carefully and answer the questions.

Country Name	Total No. of Matches Played	No. of Matches Won	No. of Matches Lost	No. of Matches Draw
Australia	-	-	43	12
India	-	100	44	-
Pakistan	150	90	-	-
South Africa	162	-	47	-
Sri Lanka	-	80	-	-

What is the number of matches draw by Srilanka, if the ratio between matches won by India and Australia to the number of matches played by South Africa and Srilanka is 6:7 and the ratio between number of matches played by Australia and Pakistan to number of matches lost by South Africa and Srilanka is 3:1, given that number of matches lost by Srilanka is twice the number of matches lost by India?

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Explanation:

Let matches won by Australia be x
Let matches played by Srilanka be y

7(100 +x) = 6(162+y)
700 + 7x = 972 + 6y
7x – 6y = 972 – 700
7x – 6y = 272 -----------------(1)
Let the matches played by Australia be z
Matches lost by Srilanka = 2*44 = 88

z+150= 3(135)
z = 405 – 150 = 255 (matches played by Australia)
Matches won by Australia (x) = z – (43 + 12) = 255-(43+12) =200
Sub x= 200 in eqn. (1)
7(200) – 6y = 272
1400 -6y = 272
6y= 1128
Y = 188 (matches played by Srilanka)
Therefore, matches draw by Srilanka= 188- (80 +88) = 20