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SSC CGL Tier II 12 Jan 2017 Paper 1

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Question : 21 of 100

Marks: +1, -0

In a college union, there are 48 students. The ratio of the number of boys to the number of girls is 5 : 3. The number of girls to be added in the union, so that the ratio of boys to girls in 6 : 5 is

6
7
12
17

Solution:

(2) In the college union,

Number of boys

= \frac{5}{8} \times 48 = 30

Number of girls

= \frac{3}{8} \times 48 = 18

Let the number of girls added be x.

\therefore \frac{30}{18+x} = \frac{6}{5}

\Rightarrow 108 + 6x = 150

\Rightarrow 6x = 150 - 108 = 42

\Rightarrow x = \frac{42}{6} = 7

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