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How many kilograms of sugar costing Rs9 per kg mustbe mixed with 27 kg of sugar costing Rs 7 per kg so that there may be a gain of 10 percent by selling the mixture at Rs 9.24 per kg?
Suppose you mix X kg of sugar at Rs9 per kg.Total amount of sugar = X + 27 kgTotal cost = 9*X + 7*27 = 9X + 189Selling price should be 10% more than the Total cost (above)that is Total sales = 1.1*(9X + 189) = 9.9X + 207.9But Total sales also = 9.24 * (X + 27) = 9.24X + 249.48Taking the difference between the two equations for Total sales,0.66X - 41.58 = 0So that X = 41.58/0.66 = 63 kilograms.
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