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Question
A shopkeeper offers 10% off-season discount to the customers and still makes a profit of 26%. What is the cost price for the shopkeeper on a pair of shoes marked at Rs 1120?
Solution
\[\text { Given }, \]
\[\text { MP of the pair of shoes = Rs } . 1120\]
\[\text { Discount = 10 % } \]
\[\text { So, SP = MP }\left( \frac{100 - \text { Discount % }}{100} \right)\]
\[ = 1120 \times \frac{90}{100}\]
\[ = Rs . 1008\]
\[\text { Now, }\]
\[\text { Profit = 26 % } \]
\[\text { SP = Rs } . 1008\]
\[\text { Therefore, CP } = \left( \frac{100 \times SP}{100 +\text { Profit % }} \right)\]
\[\text { Cost price } = \left( \frac{100 \times 1008}{100 + 26} \right)\]
\[ = Rs . 800\]
\[\text { The cost price of the pair of shoes will be Rs . 800 } . \]
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