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The price of a diamond, passing through three hands, rises on the whole by 65%, if the first and the second sellers earned 20% and 25% profit respectively. Find the profit percentage earned by the third seller.1. 12%2. 10%3. 11%4. 15%5. 9% |
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Answer» Correct Answer - Option 2 : 10% Given: Total Profit = 65% 1st seller profit = 20% 2nd seller profit = 25% Calculations: Let the original price of the diamond be Rs. P Let the Profit earned by the third seller be x%. According to the question, ⇒ (100 + x)% of 125% of 120% of P = 165% of P ⇒ (100 + x)/100 × 125/100 × 120/100 × P = 165/100 × P ⇒ 100 + x = [(165 × 100 × 100 × 100)/(125 × 120 × 100)] ⇒ 100 + x = 110 ⇒ x = 110 – 100 ⇒ x = 10% The profit of the third seller is 10%. |
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