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    Question

    Because of a 20% rise in electricity prices, Rohan

    decided to use 30% less electricity. Find out the percentage change in his electricity expenses.
    A 22% decrease Correct Answer Incorrect Answer
    B 16% decrease Correct Answer Incorrect Answer
    C 14% increase Correct Answer Incorrect Answer
    D 24% decrease Correct Answer Incorrect Answer

    Solution

    Let the initial electricity price be Rs. 100m and electricity usage be 100n units. Initial expenditure = 100m × 100n = Rs. 10000mn New expenditure = (1.20 × 100m) × (0.70 × 100n) = Rs. 8400mn Required percent = [(8400mn - 10000mn)/10000mn] × 100 = -16% decrease

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