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Total number of male register from Bangalore is approximately what percent of total female register from Nagaland?
156.3%
157.5%
166.66%
196.3%
None of the above
166.66%
Calculate male Bangalore as 1200├Ч125тАЛ=500 and female Nagaland as 800├Ч83тАЛ=300. Perform 300500тАЛ├Ч100=35тАЛ├Ч100, which is 166.66%.
Bangalore: Total = 1200, Male:Female ratio = 5:7. Nagaland: Total = 800, Male:Female ratio = 5:3.
Required┬аPercentage=(FemaleNagalandтАЛMaleBangaloreтАЛтАЛ)├Ч100
Calculate male Bangalore as 1200├Ч125тАЛ=500 and female Nagaland as 800├Ч83тАЛ=300. Perform 300500тАЛ├Ч100=35тАЛ├Ч100, which is 166.66%.
Students often miscalculate the ratio parts by adding them incorrectly or mixing up male and female values for the respective cities.
Calculate total male from Bangalore
Total registrations in Bangalore are 1200 with a ratio of 5:7. The sum of parts is 5+7=12. The number of males is given by:
MaleBangaloreтАЛ=1200├Ч125тАЛ=500
Calculate total female from Nagaland
Total registrations in Nagaland are 800 with a ratio of 5:3. The sum of parts is 5+3=8. The number of females is given by:
FemaleNagalandтАЛ=800├Ч83тАЛ=300
Calculate the percentage
To find the required percentage of males from Bangalore relative to females from Nagaland, calculate the ratio and multiply by 100:
Percentage=300500тАЛ├Ч100=35тАЛ├Ч100=166.66%
C is correct because the calculated ratio of 500 to 300 multiplied by 100 equals 166.66%.
Always verify if the denominator in percentage questions corresponds to the city specified in the 'of' clause; here it is Nagaland.
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