Following the bar graph shows percentage distribution number of challans generated in five different cities (A,B,C,D and E) in two different months (June and July) . Total number of challans generated in June and July is 800 and 1200 respectively.

Find the ratio of total number of challans generated in city C in July to total number of challans generated in city B in June.

The correct answer is 33:25.

To find the required ratio, let us extract the given data from the problem description and the bar graph:

Total number of challans generated in June = 800
Total number of challans generated in July = 1200

Step 1: Calculate the total number of challans generated in city C in July

From the bar graph, for city C, the percentage distribution of challans in July (orange bar) is 22%.

Number of challans in city C (July) = 22% of 1200

$\text{Challans in C (July)}=\frac{22}{100}\×1200=22\×12=264$

Step 2: Calculate the total number of challans generated in city B in June

From the bar graph, for city B, the percentage distribution of challans in June (blue bar) is 25%.

Number of challans in city B (June) = 25% of 800

$\text{Challans in B (June)}=\frac{25}{100}\×800=25\×8=200$

Step 3: Find the ratio of total challans in city C in July to total challans in city B in June

$\text{Required Ratio}=\frac{264}{200}$

Simplifying the fraction by dividing both the numerator and the denominator by 8:

$\text{Required Ratio}=\frac{264\÷8}{200\÷8}=\frac{33}{25}$

Thus, the required ratio is 33:25.