Question

If the price of suger increased by 20 percent then reduced by 10 percent and price of suger decrease by 10.80 rupees /kg then what is the price of 8 kg suger

Answer 1

Final Answer: New Consumption = 9.17 kg.

Solution:

Assumptions: Let initial price of sugar = X Rs/kg. Let initial expenditure = Y Rs. Let new consumption = C kg. We need to find the value of C.

Given data: Initial Consumption = 10 kg.

Step 1: Price of sugar has increased by 20%. The initial price of sugar is X Rs/kg.

20% increase in price of sugar implies

New price=X+(20X/100)=X(1+(20/100))=X(1+0.2)=1.2X Rs/kg

Step 2: Initial Expenditure (Y) = Initial price * Initial Consumption = X*10= 10X. Therefore Y=10X

Expenditure has increased by 10 percent implies

New expenditure = Y+(10Y/100)=Y(1+0.1)=1.1Y Rs.=1.1(10X)= 11X ———(Substituted Y=10X from the above step)

New Expenditure = New Price * New Consumption= 1.2X * C

11X=1.2X * C

Therefore, New Consumption C=11X/1.2X = 11/1.2 = 9.1666 = 9.17 kg.

Answer 2

Here is your answer...........