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The pie chart given shows the percentage distribution of total number of voters in five different localities. The total number of voters in all five l
Question



The pie chart given shows the percentage distribution of total number of voters in five different localities. The total number of voters in all five localities is 25,000. Find the number of female voters in locality A, if the ration of the number of male voters to the number of female voters in locality a is 12:13.

A.

2910

B.

2990

C.

2630

D.

3500

Correct option is B

Given:Total number of voters=25000Percentage of voters in locality A=23%Step 1: Calculate total voters in locality AVoters in A=23100×25000=5750Step 2: Use the given ratio of Male : Female = 12 : 13Total parts=12+13=25Let one part=x=>Total=25x=5750x=575025=230Step 3: Calculate Female VotersFemale voters=13x=13×230=2990Final Answer:Option (b) 2990\textbf{Given:} \\\text{Total number of voters} = 25000 \\\text{Percentage of voters in locality A} = 23\% \\[10pt]\textbf{Step 1: Calculate total voters in locality A} \\\text{Voters in A} = \frac{23}{100} \times 25000 = 5750 \\[10pt]\textbf{Step 2: Use the given ratio of Male : Female = 12 : 13} \\\text{Total parts} = 12 + 13 = 25 \\\text{Let one part} = x \Rightarrow \text{Total} = 25x = 5750 \\x = \frac{5750}{25} = 230 \\[10pt]\textbf{Step 3: Calculate Female Voters} \\\text{Female voters} = 13x = 13 \times 230 = \boxed{2990} \\[10pt]\textbf{Final Answer:} \boxed{\text{Option (b) } 2990}​​

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