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Question
A shopkeeper allows his customers 10% off on the marked price of goods and still gets a profit of 25%. What is the actual cost to him of an article marked Rs 250?
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Solution
\[\text { Let the CP of the article be Rs . x } . \]
\[\text { MP of the article = Rs } . 250\]
\[\text { Discount = 10 % } \]
\[\text { Discount = 10 % of } 250\]
\[ = 0 . 10 \times 250\]
\[ = \text {Rs . 25 }\]
\[\text { SP = MP - Discount }\]
\[ = 250 - 25\]
\[ = Rs . 225\]
\[\text { Given, } \]
\[\text { Profit = 25 % } \]
\[CP = \left[ \frac{100}{\left( 100 +\text { Gain % }\right)} \times SP \right]\]
\[x = \left[ \frac{100}{\left( 100 + 25 \right)} \times 225 \right]\]
\[ = \left[ \frac{100}{125} \times 225 \right]\]
\[ =\text { Rs }. 180\]
\[\text { Thus, the CP of the article is Rs } . 180 .\]
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