Question
A trader purchased 60 kg of wheat at Rs. 18 per kg. He sold
some of it at a profit of 12% and the remaining at a profit of 18%. If his total profit was Rs. 144, find the quantity of wheat sold at 18% profit.Solution
ATQ,
Let the quantity of wheat sold at 18% profit be ‘x’ kg and the quantity of wheat sold at 12% profit be ‘60 – x’ kg.
ATQ;
18 × 0.12 × (60 – x) + 18 × 0.18 × x = 144
Or, 129.6 - 2.16x + 3.24x = 144
Or, 1.08x = 14.4
Or, x = 13.33
Therefore, the trader sold 13.33 kg of wheat at 18% profit.
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