In a constituency, 40% of the voters are senior citizens. 40% of the senior citizen voters are illiterates and 25% of the non-senior citizen voters are literates. By what percentage is the number of literate senior citizens voters less than that of illiterate non-senior citizen voters?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 46.66
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Understanding |
Application |
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Suppose the total number of voters are = x Number of senior citizen voters = 0.4x Number of non-senior citizen voters = 0.6x |
Suppose the total number of voters are = x Number of senior citizen voters = 0.4x Number of non-senior citizen voters = 0.6x Number of illiterate senior citizens = 0.4 × 0.4x = 0.16x Number of literate senior citizens = 0.4x – 0.16x = 0.24x Number of literate non-senior citizens = 0.25 × 0.6x = 0.15x Number of illiterate non-senior citizens = 0.6x – 0.15x = 0.45x Required percentage = [(0.45x – 0.24x)/0.45x] × 100 = 2100/45 = 46.66% |