SSC Sample Paper SSC CGL - Sample Paper-26

  • question_answer
    If the length of a rectangle is increased by 10% and the area is unchanged, then by how much per cent does the breadth decrease?

    A) 100/11%           

    B) 100/9%

    C) 9%                               

    D) 10%

    Correct Answer: A

    Solution :

    Let the length of the rectangle \[=l\] and   breadth of the rectangle \[=b\] \[\therefore \]      Area of rectangle \[=lb\] New   length of the rectangle \[=\frac{l\times 110}{100}=\frac{11l}{10}\] and let new breadth of the rectangle \[=B\] \[\therefore \]      Area of new rectangles \[=\frac{11l}{10}B\] By given condition, \[lb=\frac{11l}{10}B\] \[\Rightarrow \]   \[B=\frac{10}{11}b\] \[\therefore \] Decrease in breadth of the rectangle             \[=b-\frac{10}{11}b=\frac{b}{11}\] Percentage decrease \[=\frac{b/11}{b}\times 100%=\frac{100}{11}%\]      


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