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The table given below shows the distribution of male adults out of total adults (male and female) and the percentage distribution of children out of total adult in four cities. The total number of male adults in four cities is 2700.
Male Adults Percentage of children out of total adult
A 40p 15%
B 30p 10%
C 20p 12%
D 18p 18%
Note: The ratio of male to female adults in city B, C and D is 5:3, 5:6 and 9:11 respectively.
The total number of children in city B is what percentage of the total number of children in city D?
35%
66.66%
40%
50%
55%
- The total number of male adults is given as 2700 across cities A, B, C, and D.
- For city B, male adults are 30p. Hence, 30p = 2700 × (30/108), solving gives p = 90. So, male adults in B = 30 × 90 = 2700.
- Total adults in city B = 2700 × (8/5) (due to 5:3 ratio) = 4320.
- Children in city B = 10% of 4320 = 432.
- For city D, male adults are 18p = 2700 × (18/108), solving gives p = 150.
- Total adults in city D = 18 × 150 × (20/9) (due to 9:11 ratio) = 6000.
- Children in city D = 18% of 6000 = 1080.
- Percentage of children in B relative to D = (432 / 1080) × 100 = 40%.
The correct answer is: Option: 3, 40%
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