In a state 70 of the girls are live in urban area while 35 of boys are live in rural areas If the ra...........

Logical Reasoning(Master ) Arithmetical Reasoning

In a state, 70% of the girls are live in urban area while 35% of boys are live in rural areas. If the ratio of the girls to that of the boys is 5: 3, then what percent of the total population is live in rural area?

32.87%

33.258%

30.564%

31.875%

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Explanation:

Let the number of girls and boys be 5x and 3x respectively.
Then, Rural Population = (100-70) % of 5x+35% of 3x
= (30/100) x (5x) + (35/100) x (3x) = (51/20)x
Required % = (51x / 20) x (1 / 8x) x 100 = 31.875%