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The ratio of cost price of two articles is 4 ∶ 9. The articles are marked up by 40% and and 15% respectively and the ratio of their Marked price is 112 ∶ 207.If the discount of 12.5% and 11.11% is given respectively the profit earned on first article is Rs.270. What is the profit earned on second article?1. Rs.402. Rs.1503. Rs.604. Rs.805. Rs.200 |
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Answer» Correct Answer - Option 3 : Rs.60 The ratio of cost price of two articles is 4 ∶ 9 ⇒ Let the cost price of first article = 4x The cost price of second article = 9x The articles are marked up by 40% and 15% respectively ⇒ Marked price of first article = 4x × (140/100) = 5.6x Marked price of second article = 9x × (115/100) = 10.35x The ratio of their Marked price is 112 ∶ 207 ⇒ Marked price of first article = 112y Marked price of second article = 207y ∴ 5.6x = 112y ⇒ x = 20y According to question, Selling price of first article = 112y × (7/8) = 98y ----(12.5% = 1/8) Profit = 98y – 4x = 270 ⇒ 98y – 80y = 270 ⇒ 18y = 270 ⇒ y = 15 ∴ x = 20 × 15 = 300 ⇒ Cost price of second article = 300 × 9 = 2700 Marked price of second article = 2700 × (115/100) = 3105 Selling price of second article = 3105 × (8/9) = 2760 ∴ Profit earned = 2760 – 2700 = 60 ∴ The profit earned on second article is Rs.60 |
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