Question : Supriya made a profit of 8% by selling a T-shirt after offering a discount of 10%. If the marked price of the t-shirt is INR 1,080, then find its cost price (in INR) for Supriya.
Option 1: INR 920
Option 2: INR 940
Option 3: INR 880
Option 4: INR 900
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Correct Answer: INR 900
Solution :
Given: The marked price (MP) of the T-shirt = INR 1080
Selling price (SP) of the T-shirt $=1080-\frac{1080×10}{100}=1080-108=972$
Let the cost price (CP) of the T-shirt be $x$.
CP + Profit = SP
$\therefore x+\frac{x×8}{100}=972$
⇒ $\frac{108x}{100}=972$
⇒ $x=\frac{972×100}{108}$
⇒ $x=900$
Hence, the correct answer is INR 900.
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