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

Marked price of a shirt = Rs. 850
Discount $= 4 %$
$∴$ Selling price
$= \frac{M . P \times (100 - d i s c o u n t %)}{100}$
$= \frac{850 (100 - 4)}{100} = \frac{850 \times 96}{100} = R s . 816$
Profit $= 20 %$
Cost price of the shirt
$= \frac{S . P \times 100}{100 + g a i n %} = \frac{816 \times 100}{100 + 20}$
$= \frac{816 \times 100}{120} = 680 R s$

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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?

Marked price of a shirt = Rs. 850 Discount =4% ∴ Selling price =M.P×(100−discount%)100 =850(100−4)100=850×96100=Rs.816 Profit =20% Cost price of the shirt =S.P×100100+gain%=816×100100+20 =816×100120=680Rs

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?