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1. 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

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

Solution:

\begin{aligned} No. of candidates failing from city D \\ = \frac{3}{4} \times 2.27 \times 100000 \\ = \frac{3}{4} \times \frac{227}{100} \times 100000 \\ = 227 \times 750 \\ No. of candidates failing from city A \\ = \frac{3}{10} \times 1.25 \times 100000 \\ = \frac{3}{10} \times \frac{125}{100} \times 100000 \\ = 300 \times 125 \\ ∴ Required ratio \\ = \frac{227 \times 750}{300 \times 125} \\ = \frac{227}{50} \\ = 227 : 50 \end{aligned}

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

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