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?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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