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    Question

    A rectangular mobile phone screen has a length of 12 cm

    and breadth of 7 cm. A new model has its length increased by 25% and its breadth decreased by 10%. What is the percentage change in the area of the screen?
    A 10% decrease Correct Answer Incorrect Answer
    B 12.5% increase Correct Answer Incorrect Answer
    C 15% increase Correct Answer Incorrect Answer
    D 20% increase Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Original area = 12 × 7 = 84 cm² New length = 12 × 1.25 = 15 cm New breadth = 7 × 0.90 = 6.3 cm New area = 15 × 6.3 = 94.5 cm² Increase in area = 94.5 − 84 = 10.5 cm² % increase = (10.5 / 84) × 100 = 12.5% So area increases by 12.5%.

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