Question
"A shopkeeper purchased an article for Rs. X and marked
it 175% above its cost price. He then sold it after giving two successive discounts of 40% and 20%, respectively, and earned a profit of Rs. 4a/5. Find the marked price of the article."Solution
Selling price of the article = a + (4a/5) = Rs. (9a/5) So, (9a/5) = (2.75 Γ a)/400 Γ 0.80 Or, 1.8a = (2.75a /400) Γ 0.80 Or, 2.25a = 2.75a / 400 Or, 0.5a = 400 Or, a = 800 So, marked price of the article = 2.75 Γ 800 = Rs. 2200
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