CLAT Sample Paper CLAT Sample Paper-8

  • question_answer
    If the base of a rectangle is increased by 10% and the area is unchanged, then its corresponding altitude must be decreased by?

    A)  \[11\frac{1}{9}%\]                   

    B)  \[9\frac{1}{11}%\]       

    C)         11%                

    D)         10%    

    Correct Answer: B

    Solution :

    Let the length = 100 m and       height = x m Area = 100 x New length = 110 m and let new height \[=(x-y%\,\,\text{of}\,x)\] Then,     \[110\times \,\left( x-\frac{y}{100}\cdot x \right)=100\times x\] \[\Rightarrow \]   \[110\times \left( 1-\frac{y}{100} \right)=100\] \[\Rightarrow \]   \[1-\frac{y}{100}=\frac{100}{110}\] \[\Rightarrow \]   \[\frac{y}{100}=1-\frac{100}{110}=\frac{10}{110}=\frac{1}{11}\] \[\therefore \]      \[y=\frac{1000}{11}=9\frac{1}{11}%\]

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