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8th Class Mathematics Comparing Quantities Question Bank Comparing Queantities

  • question_answer
    By selling an article for Rs.1000, a man loses 30%. At what price should he sell it in order to gain 20%?

    A)  Rs.1200                       

    B)  Rs.2000        

    C)  Rs.\[1714\frac{3}{7}\]  

    D)  Rs.\[1822\frac{4}{7}\]

    Correct Answer: C

    Solution :

    (c): Let loss in % age be \[{{x}_{1}}\]and gain in % age be \[{{x}_{2}}\Rightarrow {{x}_{1}}=30,{{x}_{2}}=20\] We have, \[\frac{S.{{P}_{1}}}{100-{{x}_{1}}}=\frac{S.{{P}_{2}}}{100+{{x}_{2}}}\] \[S.{{P}_{2}}=Rs.\,1000\times \frac{120}{70}=Rs.\frac{1200}{7}=1714\frac{2}{7}\]


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