If a saree is sold for Rs. 2880, the seller will incur a loss of 10%. At what price should he sell it to gain a profit of 20%?

Rs. 3840

The correct answer is Option (3) → Rs. 3840

Step 1: Find the cost price (C.P.)

We are told:

Selling Price (S.P.) = Rs. 2880, Loss = 10%

Recall the formula:

$\text{S.P.} = \text{C.P.} \times \left(1 - \frac{\text{Loss }\%}{100}\right)$

$2880 = \text{C.P.} \times \left(1 - \frac{10}{100}\right)$

$2880 = \text{C.P.} \times 0.9$

$\text{C.P.} = \frac{2880}{0.9} = 3200$

Cost Price = Rs. 3200

Step 2: Find the S.P. for 20% profit

$\text{S.P.} = \text{C.P.} \times \left(1 + \frac{\text{Profit }\%}{100}\right)$

$\text{S.P.} = 3200 \times \left(1 + \frac{20}{100}\right)$

$\text{S.P.} = 3200 \times 1.2 = 3840$