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 | 1.10 | 2.26 | 2.12 | 1.46 |
The 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)?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4. i.e. 9.77%.
Number of candidates appearing rom city Q = 2.26 lakh
Ratio of candidates passing and failing within the city Q= 3:7
Let the candidates passing and failing within city Q be 3x and 7x
Therefore,
⇒ 3x + 7x = 2.26 lakh
⇒ 10 x = 226000
⇒ x = 22600
Candidates passing within city Q = 3x = 3 ×22600 = 67800
Candidates failing within city Q = 7x = 7 × 22600 = 152800
Number of candidates appearing from all the cities together = (1.10 + 2.26 + 2.12 + 1.46)lakh = 6.94 lakh
Percentage of number of candidates passing the exam from city Q out of the total number of candidates appearing from all the cities together = × 100 = 9.77 %