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Question
A lady shopkeeper allows her customers 10% discount on the marked price of the goods and still gets a profit of 25%. What is the cost price of a fan for her marked at Rs 1250?
Solution
\[\text { Given, } \]
\[\text { MP of the fan = Rs } . 1250\]
\[\text { Discount = 10 % } \]
\[\text { So, Discount = 10 % of } 1250\]
\[ = 0 . 10 \times 1250\]
\[ = Rs . 125\]
\[\text { Since SP = MP - Discount }, \]
\[\text { SP = Rs } . \left( 1250 - 125 \right)\]
\[ = Rs . 1125\]
\[\text { Now }, \]
\[\text { SP of the fan = Rs }. 1125\]
\[\text { Profit = 25 % } \]
\[CP = \left[ \frac{100}{\left( 100 + \text { Profit % }\right)} \times SP \right]\]
\[ = \left[ \frac{100}{125} \right]1125\]
\[ = Rs . 900\]
\[\text { Thus, the cost price of the fan is Rs } . 900 .\]
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