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    Question

    In 2017, Bangladesh imported 60% of its total wheat

    requirement, while the remaining 40% was produced domestically. In 2018, the country's wheat production increased by 20% compared to 2017, but the wheat requirement also increased by 25% compared to the previous year. As a result, Bangladesh had to import 4,845 tons more wheat in 2018 than in 2017 to meet its needs. By how many tons was the total wheat production in 2017 less than that in 2018?
    A 2260 Correct Answer Incorrect Answer
    B 2340 Correct Answer Incorrect Answer
    C 2280 Correct Answer Incorrect Answer
    D 2150 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    In 2017, let the requirement of wheat in Bangladesh = a tons

    Total wheats imported = 60% of a = 0.6a

    The wheat produced = 40% of a = 0.4a

    In 2018, total production = 120% of 0.4a = 0.48a

    Total requirement = 125% of a = 1.25a

    Total wheat imported = 1.25a - 0.48a = 0.77a

    According to the question, 0.77a - 0.6a = 0.17a = 4845

    a = 28500 tons

    The required answer = 0.48a - 0.4a = 0.08a = 0.08*28500 = 2280

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