7th Class Mathematics Comparing Quantities Question Bank Comparing Quantities

  • question_answer 40) 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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