CUET UG 2025 — General Test Arithmetic

Given that the saree is sold for Rs. 2880 with a 10% loss.

When there is a 10% loss, the selling price is 90% of the cost price.

$$\text{Selling Price} = 90\% \times \text{Cost Price}$$Selling Price=90%×Cost Price

$$2880 = \frac{90}{100} \times \text{Cost Price}$$2880=10090​×Cost Price

$$2880 = 0.9 \times \text{Cost Price}$$2880=0.9×Cost Price

$$\text{Cost Price} = \frac{2880}{0.9}$$Cost Price=0.92880​

$$\text{Cost Price} = 3200$$Cost Price=3200

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To gain a profit of 20%, the new selling price must be 120% of the cost price.

$$\text{New Selling Price} = \text{Cost Price} + 20\% \times \text{Cost Price}$$New Selling Price=Cost Price+20%×Cost Price

$$\text{New Selling Price} = 3200 + \frac{20}{100} \times 3200$$New Selling Price=3200+10020​×3200

$$\text{New Selling Price} = 3200 + 0.2 \times 3200$$New Selling Price=3200+0.2×3200

$$\text{New Selling Price} = 3200 + 640$$New Selling Price=3200+640

$$\text{New Selling Price} = 3840$$New Selling Price=3840

Therefore, the saree should be sold for Rs. 3840 to gain a profit of 20%.