CLAT CLAT Solved Paper-2010

  • question_answer
    Directions From the four answers given, shade the appropriate answer in the space provided for it on the OW Answer Sheet.
    By selling 11 oranges for a rupee, a man loses 10%. How many oranges for a rupee should he sell to gain 10%?

    A) 9                     

    B) 10       

    C) 8                                 

    D) 5

    Correct Answer: D

    Solution :

    Ans.   Suppose the cost price of an orange is x paisa. Then, cost price of 11 oranges will be \[11x\] paise selling price of 11 oranges is given 100 paise. Loss \[=11x-100\] Percentage Loss \[=\frac{11x-100}{11x}\times 100\] \[10=\frac{11x-100}{11x}\times 100\] \[11x=110x-1000\] \[99x=1000\] \[x=\frac{1000}{99}\] \[=10.1\] paise Selling price of an orange to get 10% profit \[\Rightarrow \,\,\,\,\,\,\,\,\,10.1+10.1\times \frac{10}{100}\] = 11.11 paise Total oranges to be sell in 100 paise to get 10% profit \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,\frac{100}{11.11}\simeq 9\]

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