Question
The price of wheat has increased by 45%. Mohit has
decided to spend only 16% more than what he initially did on buying wheat. What is the percentage decrease in Mohit's wheat consumption?Solution
Let the initial price of Mohit be Rs. 100 per unit and Mohit's consumption be 10 units. ∴ Initial amount spent = 100 × 10 = Rs. 1,000 New price of wheat = 145% of 100 = Rs. 145 and new total amount spent = 116% of 1000 = Rs. 1,160 ∴ New consumption = 1160/145 = 8 units ∴ Decrease in consumption = 10 - 8 = 2 unit ∴ % decrease = 2/10 × 100 = 20%
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