Amit sold an article for ₹369.60 after allowing 12% discount on the marked price. Had he not allowed any discount he would have earned a profit of 20%. What is the cost price of the article?

Let, the marked price of the article is 100% He gave a discount of 12% ⇒ After discount selling price of the article (100 - 12) = 88% Accordingly, 88% → 369.60 ⇒ 1% → 369.60/88 ⇒ 100% → (369.6/88) × 100 = 420 Marked price of the article = Rs. 420 If he had not given any discount he would have gained 20% that means then discount % should be 0% MP / CP = (100 + 20) / (100 - 0) ⇒ MP / CP = 120 / 100 ⇒ 420 / CP = 6 / 5 ⇒ CP = 350 ∴ The cost price of the item is Rs. 350.