The given bar graph represents the number of matches played by cricket teams of different country.
We can prepare frequency table from given bar graph as follows:
Country No. of matches
India $$30$$
Pakistan $$24$$
West Indies $$20$$
England $$28$$
South Africa $$18$$
Australia $$32$$
Sri Lanka $$24$$
Total number of students $$=176$$.
Then, the ratio of number of matches played by India to the number of matches played by Sri Lanka
$$=\dfrac{\text{Number of matches played by India}}{\text{Number of matches played by Sri Lanka}}$$
$$=\dfrac{30}{24}=\dfrac{5}{4}=5:4$$.
Hence, the required ratio is $$5:4$$.
Therefore, option $$B$$ is correct.