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
Ratio of Candidates Passing and Failing Within the City
City Ratio of Passing and Failing
A 7 : 3
B 5 : 3
C 4 : 5
D 1 : 3
E 3 : 2
F 7 : 5

Examveda
Examveda

What is the ratio of the number of candidates failing the exam from City D to that of those failing the exam from City A?

A. 289 : 42

B. 42 : 289

C. 227 : 50

D. 50 : 227

E. None of these

Answer: Option C

Solution(By Examveda Team)

$$\eqalign{ & \text{No. of candidates failing from city D} \cr & = \frac{3}{4}\times2.27\times100000 \cr & = \frac{3}{4}\times\frac{227}{100}\times100000 \cr & = 227\times750 \cr & \text{No. of candidates failing from city A} \cr & = \frac{3}{10}\times1.25\times100000 \cr & = \frac{3}{10}\times\frac{125}{100}\times100000 \cr & = 300\times125 \cr & \therefore \text{Required ratio} \cr & = \frac{227\times750}{300\times125} \cr & = \frac{227}{50} \cr & = 227:50 \cr} $$

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