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Question
Jasmine allows 4% discount on the marked price of her goods and still earns a profit of 20%. What is the cost price of a shirt for her marked at Rs 850?
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Solution
\[\text { Given }, \]
\[\text { MP of the shirt } = Rs . 850\]
\[\text { Discount = 4 % } \]
\[\text { Discount allowed = Rs }. \left( \frac{4}{100} \times 850 \right)\]
\[ = Rs . 34\]
\[\text { Thus, SP of the shirt = Rs } . \left( 850 - 34 \right) = Rs . 816\]
\[\text { Now , }\]
\[\text { Profit earned by Jasmine = 20 % } \]
\[\text { Thus, CP = }\frac{100 \times SP}{\left( 100 +\text { Profit % } \right)}\]
\[ = Rs . \left( \frac{100 \times 816}{100 + 20} \right)\]
\[ = Rs . \left( \frac{100 \times 816}{120} \right)\]
\[ = Rs . 680\]
\[\text { Thus, the cost price of the shirt is Rs } . 680 .\]
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