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    Question

    A = (9/4) × B and C = (1/12) × A. If (A + B + C) =

    300, then find the value of (12C – B).
    A 1480/7 Correct Answer Incorrect Answer
    B 1200/11 Correct Answer Incorrect Answer
    C 1451/17 Correct Answer Incorrect Answer
    D 1525/17 Correct Answer Incorrect Answer

    Solution

    ATQ; A = 12C And, A = (9/4) × B So, 12C = (9/4) × B Or, 16C = 3B Or, B = (16/3)C Since, A + B + C = 300 So, 12C + (16/3)C + C = 300 Or, (36C + 16C + 3C)/3 = 300 Or, 55C = 900 Or, C = 900/55 = 180/11 A = (180/11) × 12 = 2160/11 And, B = (16/3) × (180/11) = 960/11 Required value = 12 × (180/11) – (960/11) = 1200/11

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