Question

A shopkeeper offers Buy $1$ Get $1$ Free offer on t-shirts marked at '$₹2,400$‘. If after a sale, the shopkeeper earns a profit of ’$33.33\%$'. Then what is the actual price of the t-shirt?​

Answer 1

Given: A shopkeeper sells Buy 1, Get 1 Free offer on t-shirts marked at $=₹2,400$

Profit percentage$=33.33\%$

Step 1: Find the Selling price of one t-shirt:

$\Rightarrow$The selling price of $2$ t-shirts $=₹2400$

$\therefore$ The selling price of a t-shirt$=\frac{2400}{2}$

$=₹1200$

Step 2: Find the Cost Price of a t-shirt:

$\Rightarrow \mathrm{Cost}\mathrm{Price}=\frac{100}{100+\mathrm{Profit}\%}\times \mathrm{Selling}\mathrm{Price}$

$=\frac{100}{100+33.33}\times 1200$

$=\frac{100}{133.33}\times 1200$

$=₹900$

Therefore, the actual price of the t-shirt is $₹900$