Study the given tables and answer the question that follows.

The tables show the number of candidates (in lakh) appearing in an entrance exam from four different cities and the ratio of candidates passing and failing in the same.

City	P	Q	R	S
Number of candidates (in lakh)	1.10	2.26	2.12	1.46

Ratio of candidates passing and failing within the city:

City	Passing	Failing
P	6	5
Q	3	7
R	5	7
S	3	5

The number of candidates passing the exam from city Q is what percentage of the total number of candidates appearing from all the cities together (rounded off to 2 decimal places)?

The correct answer is 9.77%.

Step 1: Find the total number of candidates appearing from all four cities.

From the given table, the number of candidates (in lakh) appearing for the exam from each city is:

• City P = 1.10 lakh
• City Q = 2.26 lakh
• City R = 2.12 lakh
• City S = 1.46 lakh

$\text{Total candidates}=1.10+2.26+2.12+1.46=6.94\text{lakh}$

Step 2: Find the number of candidates passing from City Q.

The total candidates appearing from City Q = 2.26 lakh.
The ratio of candidates passing to failing in City Q is given as 3 : 7.

Total parts in the ratio = 3 + 7 = 10 parts.

$\text{Passing candidates from City Q}=2.26\times \frac{3}{10}=2.26\times 0.3=0.678\text{lakh}$

Step 3: Calculate the required percentage.

We need to calculate the percentage of candidates passing from City Q compared to the total candidates appearing from all cities together.

$\text{Required Percentage}=\left(\frac{\text{Passing candidates from City Q}}{\text{Total candidates from all cities}}\right)\times 100$

$\text{Required Percentage}=\left(\frac{0.678}{6.94}\right)\times 100=\frac{67.8}{6.94}\approx 9.7694\%$

Rounding off to 2 decimal places, the required percentage is 9.77%.