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SSC Sample Paper Mock Test-12 SSC CGL Tear-II Paper-1

  • question_answer
    If the length of a rectangle is increased by 10% and the area is unchanged, then the corresponding breadth must be decreased by

    A)  \[9\frac{1}{11}%\]

    B)  10%   

    C)  11%    

    D)  \[11\frac{1}{9}%\]

    Correct Answer: A

    Solution :

    Let length \[=l\] and breadth = b New breadth = z Then, (110% of l)\[\times z=l\times b\] \[\frac{110\,\,l\,\,z}{100}=lb\]\[\Rightarrow \]\[z=\frac{10\,\,b}{11}\] \[\therefore \] Percentage decrease in breadth \[=\left[ \left( b-\frac{10}{11}b \right)\times \frac{1}{b}\times 100 \right]=9\frac{1}{11}%\]


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