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    Question

    87.5% of the voters in State 'P'  is equivalent to

    10/11 of the voters in State 'Q', and 10/11 of the voters in State 'Q' is equal to 93.75% of the voters in State 'R'. If the average number of voters in State 'P', 'Q', and 'R' is 695, determine the difference between the number of voters in State 'P' and 'R'.
    A 45 Correct Answer Incorrect Answer
    B 48 Correct Answer Incorrect Answer
    C 35 Correct Answer Incorrect Answer
    D 25 Correct Answer Incorrect Answer
    E 18 Correct Answer Incorrect Answer

    Solution

    ATQ, 87.5% of voters in State P = 10/11 of State Q = 93.75% of State C Or, 7P/8 = 10Q/11 = 15R/16 [87.5% = 7/8 and 93.75% = 15/16] So, P:Q:R = (8/7):(11/10):(16/15) = 240:231:224 = c [say] Now, (240c + 231c + 224c) /3 = 695 Or, 695c = 695 × 3 Or, c = 3 Required difference = 240c – 224c = 16c = 48

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