8th Class Mathematics Percentage Question Bank Percentage, Profit and Loss

  • question_answer The price of sugar goes up by 20%. By what percent must the consumption to be reduced so that expenditure does not increase?

    A)  \[16\frac{2}{3}%\]       

    B)  15%

    C)  \[15\frac{2}{3}%\]                   

    D)         16%

    Correct Answer: A

    Solution :

    (a): Without loss of generality, let present consumption be C kg & price be "p" Rs/kg \[\therefore Cost=C\times p\] Cost goes up by 20% = 1.2p Rs/kg Let new consumption be C \[\Rightarrow C\times 1.2p=C\times p\] \[\Rightarrow C=\frac{C}{1.2}=\frac{10C}{12}=\frac{5C}{6}\] \[\therefore \] % age decrease in consumption \[=\frac{C-\frac{5C}{6}}{C}\times 100%\] \[=\frac{1}{6}\times 100%=16\frac{2}{3}%\]

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