If an item marked at ₹8,100 is sold for ₹810, what is the discount percentage?

Concept

Discount percentage measures how much the marked price (MP) is reduced to reach the selling price (SP): Discount % = ((MP − SP) ÷ MP) × 100. Equivalently, SP = MP − Discount amount, so a larger discount percentage corresponds to a smaller selling price relative to the marked price.

Application

1. Marked price (MP) = ₹8,100; Selling price (SP) = ₹810.

2. Discount amount = MP − SP = ₹8,100 − ₹810 = ₹7,290.

3. Discount % = (Discount amount ÷ MP) × 100 = (7,290 ÷ 8,100) × 100.

4. 7,290 ÷ 8,100 = 0.9, so Discount % = 0.9 × 100 = 90%.

Cross-check

Apply a 90% discount back to the marked price: 90% of ₹8,100 = ₹7,290, and ₹8,100 − ₹7,290 = ₹810, which matches the given selling price — confirming the discount percentage.