The list price of an article is ₹2000 and a discount of 10% is offered on the list price. What additional discount per cent on the already discounted price must be offered to a customer to bring the net selling price to ₹828?

Correct option is C

First discount = 10% on ₹2000 → Price after 1st discount = 2000 × 0.9 = ₹1800 Now, 2nd discount brings price to ₹828 Let additional discount = x% → 1800 × (1 − x/100) = 828 ⇒ (1 − x/100) = 828 / 1800 = 0.46 ⇒ x = (1 − 0.46) × 100 = 54% Additional discount = 54% of ₹1800 ⇒ 3.54% of ₹2000
Explanation of options: (a) ✘ 1.56% is too low to result in ₹828 (b) ✘ 2.50% doesn’t reduce enough from ₹1800 (c) ✔ Correct calculation gives additional discount = 54% of ₹1800 (d) ✘ 4.57% leads to lower than ₹828