The following bar graph shows the total number of youth (in lakhs) and the number of employed youth (in lakhs) in 5 states A, B, C, D and E.

What is the ratio of the number of youth in states A, C and E taken together to the number of employed youth in states B, C and D taken together?

The correct answer is 65 : 49.

To find the required ratio, we first extract the values from the given bar graph for the relevant states:

1. Number of youth in states A, C, and E taken together:
- State A (Youth) = 12 lakhs
- State C (Youth) = 11.5 lakhs
- State E (Youth) = 9 lakhs

Summing these values:
$\text{Total youth (A + C + E)}=12+11.5+9=32.5\text{ lakhs}$

2. Number of employed youth in states B, C, and D taken together:
- State B (Employed youth) = 7 lakhs
- State C (Employed youth) = 10 lakhs
- State D (Employed youth) = 7.5 lakhs

Summing these values:
$\text{Total employed youth (B + C + D)}=7+10+7.5=24.5\text{ lakhs}$

3. Calculate the required ratio:
We divide the total youth in A, C, and E by the total employed youth in B, C, and D:
$\text{Ratio}=\frac{32.5}{24.5}$
Multiplying both the numerator and the denominator by 2 to convert the decimals into integers, we get:
$\text{Ratio}=\frac{65}{49}$
Therefore, the required ratio is 65 : 49.