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Question
What price should Aslam mark on a pair of shoes which costs him Rs 1200 so as to gain 12% after allowing a discount of 16%?
Solution
\[\text { Given }, \]
\[\text { CP of the pair of shoes = Rs } . 1470\]
\[\text { Gain = 12 % } \]
\[\text { Discount = 16 % } \]
\[\text { So, SP = Rs } . \left( \frac{100 + \text { Gain }}{100} \times CP \right)\]
\[ = Rs . \left( \frac{100 + 12}{100} \times 1200 \right)\]
\[ = Rs . 1344\]
\[\text { Now, } \]
\[\text { SP of the pair of shoes = Rs } . 1344 \]
\[\text { Discount = 16 % } \]
\[\text { So, MP = Rs . } \left( \frac{100 \times SP}{100 - \text { Discount % }} \right)\]
\[ = Rs . \left( \frac{100 \times 1344}{100 - 16} \right) = Rs . 1600\]
\[\text { Aslam should sell the pair of shoes for Rs } . 1600 .\]
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