Question 51

The ratio of the number of males and females in a group is $$6 : 7$$. Fifteen females leave the group. As a result, this ratio becomes $$12 : 11$$. Now, if 6 males join the group, then what will be the ratio of the number of males and females in the group?

Solution

Let the males are 6x and females are 7x

According to question,

$$\frac{6x}{7x-15}=\frac{12}{11}$$

$$\frac{x}{7x-15}=\frac{2}{11}$$

11x = 14x - 30

3x = 30

x = 10

Number of males = $$6\times\ 10=60$$

Number of females = $$(7\times\ 10) - 15 = 55$$

If six males join the group = 60 + 6 = 66

Required ratio = 66 : 55 = 6 : 5

Hence, Option B is correct.

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