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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