Comprehension

The following table shows the number of registered voters for an election held in five different villages (A-E), alongwith the percentage of votes cast and the percentage of valid votes cast. Based on the data in the table, answer the questions that follow.

Village-wise Details of Election

Village Number of Registered Voters Percentage (%) of Votes Cast Valid Votes (%) out of Votes Cast
A 18000 75% 90%
B 22500 80% 75%
C 20000 50% 100%
D 25000 80% 60%
E 12500 60% 80%

 

Number of votes cast in villages A and B together is ________ % of the number of valid votes cast in village D.

  1. 262.5
  2. 225
  3. 137.5
  4. 175

Answer (Detailed Solution Below)

Option 1 : 262.5

Detailed Solution

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Number of votes cast in D :

\(25000\times\frac{80}{100}=20000.\)

Number of valid votes in D :

\(20000\times\frac{60}{100}=12000. \)

Number of votes cast in A :

\(18000\times\frac{75}{100}=13500.\)

Number of votes cast in B :

\(22500\times\frac{80}{100}=18000.\)

Reqd. percentage : \(\frac{31500}{12000}\times100=262.5\)%

 

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