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Every month a man consumes 25 kg rice and 9 kg wheat. The price of rice is 20% of the price of wheat and thus he spends total Rs. 350 on the rice and wheat per month. If the price of wheat is increased by 20% then what is the percentage reduction of rice consumption for the same expenditure of Rs. 350? Given that the price of rice and consumption of wheat is constant :

Every month a man consumes 25 kg rice and 9 kg wheat. The price of rice is 20% of the price of wheat and thus he spends total Rs. 350 on the rice and wheat per month. If the price of wheat is increased by 20% then what is the percentage reduction of rice consumption for the same expenditure of Rs. 350? Given that the price of rice and consumption of wheat is constant : Correct Answer 36%

Let the price of wheat is x per kg. Then price of wheat will be 5x per kg.Expenditure on rice = 25 × x = 25xExpenditure of wheat = 9 × 5x = 45xTotal cost,25x + 45x = 35070x = 350x = 5Hence, price of Rice = Rs. 5 per kg.Price of wheat = 25 per kg.Now, price of wheat = 25 ---- 20% ↑----> Rs. 30 per kg. Let the new amount of rice is N kg, thenN*5 + 9*30 = 350N = 16 kg. % decrease in the amount of rice
$$\eqalign{ & = \frac{{\left( {25 - 16} \right) \times 100}}{{25}} \cr & = 36\% \cr} $$

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