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    Question

    The price (per litre) of petrol increases by 85%. By

    what percent should its consumption be reduced such that the expenditure on it increases by 48% only? 
    A 18% Correct Answer Incorrect Answer
    B 82% Correct Answer Incorrect Answer
    C 20% Correct Answer Incorrect Answer
    D 80% Correct Answer Incorrect Answer

    Solution

    Let initial price = 100 Increase = 85% → New price = 185 Let initial consumption = 100 Let required consumption = x Given expenditure increase = 48% So, new expenditure = 148 Equation: 185 × x / 100 = 148 x = (148 × 100) / 185 x = 80 Reduction in consumption = 100 − 80 = 20 Percentage reduction = 20%

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