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A person buys 140 articles at Rs.2400. He sells33.33% of his articles at 14% profit ,5/7 part of remaining articles he sells at 20% profit. Then at what profit or loss % he should sell remaining articles so that overall he will gain 12% profit? |
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Answer» 2% PROFIT Explanation: 33.33% or 1/3 of 140 ARTICLES = 46.6 articles Remaining articles = 140 - 46.6 = 93.4 articles 5/7 of remaining articles = (5/7) x 93.4 articles = 66.7 articles Remaining articles = 140 - (46.6 + 66.7) = 26.7 articles Average Profit % = (Profit % of 33.33% articles' SP + Profit % of 5/7 of the remaining articles' SP + Profit % 'x' for remaining 26.7 articles' SP)/3 Average Profit = Given, 12% 1st Profit = 14% 2nd Profit = 20% 3rd Profit = 'x'% Removing PERCENTAGE from all values since all values are alike - 12 = (14 + 20 + x)/3 36 = 14 + 20 + x 36 - (14 + 20) = x 36 - 34 = x x = 2 Hence, answer is 2% for the remaining articles. |
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