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A trader marks his goods such that he earns a profit of 50% on its cost. He then sells it by offering a discount of x% on its marked price. If his actual profit is 9.85%, then the value of x is:1. 26.762. 123. 154. 12.5 |
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Answer» Correct Answer - Option 1 : 26.76 Let the original cost price be Rs.100 Then the marked price = 50% of 100 + 100 ⇒ Marked price = 150 Selling price = 150 - x% of 150 1 %Profit = 9.85% ⇒ Selling price = 9.85% of 100 + 100 2 Equating 1 and 2 ⇒ 109.85 = 150 - x% of 150 ⇒ x% of 150 = 150 - 109.85 ⇒ 3/2 x = 40.15 ⇒ x = 40.15 × 2/3 ⇒ x = 26.76% ∴ The required answer = 26.76% |
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