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Question
Jyoti and Meena run a ready-made garment shop. They mark the garments at such a price that even after allowing a discount of 12.5%, they make a profit of 10%. Find the marked price of a suit which costs them Rs 1470.
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Solution
\[\text { Given, } \]
\[\text { CP of the suit = Rs }. 1470\]
\[\text { Gain = 10 % } \]
\[\text { So, SP = Rs } . \left( \frac{100 + \text { Gain }}{100} \times CP \right)\]
\[ = Rs . \left( \frac{100 + 10}{100} \times 1470 \right)\]
\[ = Rs . 1617\]
\[\text { Now }, \]
\[\text { SP = Rs } . 1617\]
\[\text { Discount = 12 . 5 % } \]
\[\text { So, MP = Rs } . \left( \frac{100 \times SP}{100 - \text { Discount % }} \right)\]
\[ = Rs . \left( \frac{100 \times 1617}{100 - 12 . 5} \right) = Rs . 1848\]
\[\text { Therefore, the marked price of the suit is Rs } . 1848 .\]
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