Question

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 :
A.0.4
B.0.25
C.0.36
D.0.24

Answer 1

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SOLUTION :-
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Let the price of wheat is x per kg. Then price of wheat will be 5x per kg. 
Expenditure on rice = 25*x = 25x. 
Expenditure of wheat = 9*5x = 45x. 

Total cost, 

25x + 45x = 350. 
70x = 350. 
x = 5. 
Hence, 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, then

N*5 + 9*30 = 350. 
N = 16 kg.
%decrease in the amount of rice = [(25-16)*100]/25 = 36%.

So , Option (C) is the right answer ✔️

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Answer 2

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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 :
A.0.4
B.0.25
C.0.36✔️✔️
D.0.24



$<big><u><b><p>$Let the price of wheat is x per kg. Then price of wheat will be 5x per kg. 
Expenditure on rice = 25*x = 25x. 
Expenditure of wheat = 9*5x = 45x. 

Total cost, 

25x + 45x = 350. 
70x = 350. 
x = 5. 
Hence, 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, then

N*5 + 9*30 = 350. 
N = 16 kg.
%decrease in the amount of rice = [(25-16)*100]/25 = 36%.