Question

If the price of rice is increased by 15%, by how much per cent should a homemaker
reduce the consumption of rice so that the expenditure remains the same​

Answer 1

Answer:

give the full question

Answer 2

Answer:

23.07%

Step-by-step explanation:

If the price of rice increases by 30%, then by what percent should its consumption be decreased so that the total expenditure remains same?

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ANSWER:23.07%

WORKING:

the price of rice increases by 30%

let the intial price be x

let the inital consumption by y

since the price of rice increases by 30 %

final price of rice =1.3x

now, expenditure=price*consumption

let the final consumption be z

given total expendutre remains constant

therefore

x*y=1.3 x *z

therefore z=(y/1.3)

% decrease=((intial consumption-final consumption)/initial consumption)*100%

therefore % decrease=((y-z)/y)*100%=(1–(1/1.3))*100%=(1–0.769)*100%=23.07%