Directions (1 - 5): Study the following table carefully and answer the question that follow:
Number of candidates (in lakhs) appearing in a Entrance Examination from six different Cities.
| City | A | B | C | D | E | F |
| No. of Candidates | 1.25 | 3.14 | 1.08 | 2.27 | 1.85 | 2.73 |
| City | Ratio of Passing and Failing |
| A | 7 : 3 |
| B | 5 : 3 |
| C | 4 : 5 |
| D | 1 : 3 |
| E | 3 : 2 |
| F | 7 : 5 |
The number of candidates passing the examination from City F is what per cent of the total number of candidates appearing from all the cities together? ( rounded off to two digits after the decimal)
A. 12.93%
B. 14.46%
C. 10.84%
D. 11.37%
E. None of these
Answer: Option A
Solution(By Examveda Team)
Total number of candidates from al the 5 cities= {(1.25 + 3.14 + 1.08 + 2.27 + 1.85 + 2.73) × 100000}
= 12.32 × 100000
= 1232000
Number of candidates passing the exam from city F
$$\eqalign{ & = \frac{7}{12}\times2.73\times100000 \cr & = \frac{7\times273\times1000}{12} \cr & = 7\times91\times250 \cr & = 159250 \cr & \therefore \text{Required percentage} \cr & = \left(\frac{159250}{1232000}\times100\right)\% \cr & = \frac{15925}{1232}\% \cr & = 12.926\% \cr & \approx 12.93\% \cr} $$
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