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SSC Sample Paper Mock Test-15 SSC CGL Tear-II Paper-1

  • question_answer
    A discount series of p% and q% on an invoice is 3 q same as a single discount of     

    A)             \[\left( p+q\frac{pq}{100} \right)%\]

    B)         \[\left\{ 100-\left( p+q\frac{pq}{100} \right) \right\}%\]

    C)                        \[\left( p-q+\frac{pq}{100} \right)%\] 

    D)                    None of the above   

    Correct Answer: D

    Solution :

     
    Let marked price be Rs. 100. Then,
    \[SP=(100-p)%\]of \[(100-q)%\]of Rs.100
    = Rs. \[\left\{ \frac{(100-p)}{100}\times \frac{(100-q)}{100}\times 100 \right\}\]
    = Rs.\[\frac{(100-p)(100-q)}{100}\]
    Single discount \[=\left\{ 100-\frac{(100-p)(100-q)}{100} \right\}%\]
    \[=\left\{ \frac{1000-\{1000-100p-100q+pq\}}{100} \right\}%\]\
    \[=\frac{100p+100q-pq}{100}=\left\{ p+q-\frac{pq}{100} \right\}%\]


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