Corrected version:

The bar chart gives information about the modes of transportation used in a European city for travelling between the years 1960 and 2000.

Explanation:  

The original sentence is missing the word "used" after "transportation" and contains an unnecessary comma after "transportation." Additionally, the phrase "use in a European city" should be rearranged to "used in a European city" for correct grammar.

Improved version:

The bar chart provides information about the modes of transportation used in a European city for travel between 1960 and 2000. 

Corrected version:

Regarding the mode of transportation used in 1960, buses had the highest percentage (37%), while cars had the lowest (5%). Notably, a quarter of the population preferred bikes as their means of transportation. 

Explanation: 

The original sentence incorrectly uses "it" to refer to the mode of transportation, which creates ambiguity. By specifying "buses" and "cars," the sentence becomes clearer. Additionally, "bus" and "car" should be pluralized as "buses" and "cars." The phrase "bike" should be changed to "bikes" to maintain consistency. 

Improved version:

Concerning transportation modes in 1960, buses had the highest percentage (37%), while cars had the lowest (5%). Notably, a quarter of the population preferred bikes as their means of transportation. 

Corrected version:

In 1980, 25% of Europeans used the bus for travelling, whereas less than a fifth travelled by foot. The figures for both cars and bikes almost the same. 

Explanation: 

The original sentence uses the wrong verb tense ("use" instead of "used") and is missing the definite article "the" before "bus." "Europeans" should not have an article. The phrase "figure for" should be changed to "figures for" to match the plural subjects "cars" and "bikes." The phrase "almost the same" is more appropriate than "for almost the same" in this context.

Improved version:

In 1980, the bus was used by 25% of Europeans for travel, whereas less than a fifth traveled by foot. The figures for both cars and bikes were almost identical.

Corrected version:

Looking at the 2000 figures for travelling by car in Europe, it had the highest proportion at 35%, while bike travel had the lowest proportion at 6%.

Explanation: 

The original sentence contains a nonsensical phrase "Travelling to Europe's okay" which seems out of context. The sentence is rephrased to provide a clear introductory statement. The phrase "Europe's okay" is removed. The verb tense in "was for moving" is changed to "had" for consistency with the previous sentence. The phrase "in proportion" is added to clarify the comparison between car and bike travel percentages.

Improved version:

Examining the 2000 figures for car travel in Europe, it had the highest proportion at 35%, while bike travel had the lowest proportion at 6%. 

Corrected version:

In summary, as the chart illustrates, we can see that the increase in private transport usage compared to public transport was reflected in a corresponding rate of increment over the years. Additionally, the number of people travelling by foot dropped by more than half. 

Explanation: 

The original sentence has grammatical errors and lacks clarity. The phrase "as a chart illustrate" should be changed to "as the chart illustrates" to match subject-verb agreement. The phrase "rate of increment in years" is not clear and can be rephrased as "rate of increase over the years." The phrase "more than a half" is corrected to "more than half" for proper phrasing. 

Improved version:

Overall, as the chart illustrates, it can be observed that there was an increase in the usage of private transport compared to public transport, reflected in a corresponding increment over the years. Additionally, the number of people traveling by foot decreased by more than half.