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CLAT CLAT Solved Paper-2019

  • question_answer
    Naresh bought a bicycle each for his two sons, each bicycle priced at ` 3500. If the first bicycle is sold at a profit of 5%, then how much should the other bicycle be sold for, to gain a total of 20% on both?

    A) 15%                 

    B) 10%   

    C) 25%     

    D)        35%

    Correct Answer: D

    Solution :

    Sol.      [d] Total CP of two bicycle = ` \[2\times 3500\] = ` 7000 SP of first Bicycle \[=\,CP\,\times \,\frac{100+\Pr ofit%}{100}\] \[=\,\frac{105}{100}\,\times \,3500\,=\]`3675 Let the SP of second bicycle be ` x Total SP = ` (3675 + x) Gain % = 20% Now, we know that \[SP\,=\,\frac{(100\,+\,gain%)\,CP}{100}\] \[3675\,+\,x\,=\,\frac{(100=20)\times 7000}{100}\] 3675 = x = 8400 x = ` (8400 - 3675) x = ` 4725 \[\therefore \]The other Bicycle must be sold with a gain of \[=\left( \frac{4725-3500}{3500} \right)\times \,100\] \[=\,\frac{1225}{3500}\,\times \,100\,=\,35\]%


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