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An article is marked 35% above its cost. If a profit of 20% is earned by selling the article, then the discount per cent offered on the marked price of the article is:1. \(11\frac{1}{9}\%\)2. 15%3. 12%4. \(10\frac{1}{9}\%\) |
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Answer» Correct Answer - Option 1 : \(11\frac{1}{9}\%\) Given: Marked price = 35% above the cost price Profit% = 20% Formula used: Discount% = (Discount/M.P) × 100% Calculation: Let the cost price be Rs. 100x Marked price = Rs. 100x × (135/100) ⇒ Rs. 135x Selling price = Rs. 100x × (120/100) ⇒ Rs. 120x Discount = Rs. (135x – 120x) ⇒ Rs. 15x Discount% = (15x/135x) × 100% ⇒ 100/9% ∴ The discount% offered on the marked price is 100/9% |
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