Question
A shopkeeper bought 'x - 30' kg of wheat at Rs. 50 per
kg and 30 kg of wheat at Rs. 'x' per kg and mixed them. He sold the mixture at Rs. 84 per kg and thus making a profit of 20%. Find the value of 'x'.Solution
Cost price of one kg of mixture = (84/1.20) = Rs. 70 ATQ, [{50 X (x - 30) + (30 X x)}/(x - 30 + 30)] = 70 Or, 50x - 1500 + 30x = 70x Or, 80x - 1500 = 70x Or, 10x = 1500 So, x = 150
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