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 $R s 850$ ?

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Solution

Given, MP of the shirt $= R s . 850$
Discount $= 4 %$
Discount allowed $= R s . \frac{4}{100} \times 850$
$= R s . 34$
Thus, SP of the shirt $= R s . 850 - 34 = R s . 816$
Now, Profit earned by Jasmine $= 20 %$
Thus, CP $= 100 \times \frac{SP}{100 + Profit %}$ [from SP $=$ CP $+$ profit on CP]
$= R s . 100 \times \frac{816}{100 + 20}$
$= R s . 100 \times \frac{816}{120}$
$= R s . 680$
Thus, the cost price of the shirt is $R s . 680.$

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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?

Given, MP of the shirt=Rs. 850Discount=4%Discount allowed=Rs. 4100×850=Rs. 34Thus, SP of the shirt=Rs.850−34=Rs.816Now, Profit earned by Jasmine=20%Thus, CP=100×SP100+Profit% [from SP=CP+ profit on CP]=Rs.100×816100+20=Rs.100×816120=Rs.680Thus, the cost price of the shirt is Rs.680.

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 $R s 850$ ?