Question
The price of wheat has increased by 65%. Rohit has
decided to spend only 32% more than what he initially did on buying wheat. What is the percentage decrease in Rohit's wheat consumption?Solution
Let the initial price of Rohit be Rs. 100 per unit and Rohit's consumption be 10 units.  ∴ Initial amount spent = 100 × 10 = Rs. 1,000  New price of wheat = 165% of 100 = Rs. 165 and new total amount spent = 132% of 1000 = Rs. 1,320  ∴  New consumption = 1320/165 = 8 units  ∴ Decrease in consumption = 10 - 8 = 2 unit  ∴ % decrease = 2/10 × 100 = 20%
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