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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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प्रश्न

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?

संक्षेप में उत्तर
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उत्तर

\[\text { Given }, \]

\[\text { MP of the shirt } = Rs . 850\]

\[\text { Discount = 4 % } \]

\[\text { Discount allowed = Rs }. \left( \frac{4}{100} \times 850 \right)\]

\[ = Rs . 34\]

\[\text { Thus, SP of the shirt = Rs } . \left( 850 - 34 \right) = Rs . 816\]

\[\text { Now , }\]

\[\text { Profit earned by Jasmine = 20 % } \]

\[\text { Thus, CP =  }\frac{100 \times SP}{\left( 100 +\text {  Profit % } \right)}\]

\[ = Rs . \left( \frac{100 \times 816}{100 + 20} \right)\]

\[ = Rs . \left( \frac{100 \times 816}{120} \right)\]

\[ = Rs . 680\]

\[\text { Thus, the cost price of the shirt is Rs } . 680 .\]

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