Final answer:
The seller gains a 5% profit on the saree by selling it at 3150 INR, which is 150 INR above the cost price. The marked price is 3500 INR, so the discount offered is 350 INR. The discount percentage is therefore calculated to be 10%.
Step-by-step explanation:
To calculate the discount percentage, we first need to determine the selling price (SP) of the saree, which includes a 5% profit over the cost price (CP). Given that the CP is 3000 INR and the profit percentage is 5%, we can calculate the SP as follows:
Profit = (Profit Percentage/100) × CP
Profit = (5/100) × 3000
Profit = 150 INR
Therefore, SP = CP + Profit
SP = 3000 + 150
SP = 3150 INR
Now, to find the discount, we take the marked price (MP) and subtract the SP:
Discount = MP - SP
Discount = 3500 - 3150
Discount = 350 INR
To find the discount percentage, we use the formula:
Discount Percentage = (Discount/MP) × 100
Discount Percentage = (350/3500) × 100
Discount Percentage = 10%
Thus, the discount percentage offered on the saree is 10%.