Question

A shopkeeper bought 'x - 44' kg of sugar at Rs. 60 per kg and 44 kg of sugar at Rs. 'x' per kg and mixed them. He sold the mixture at Rs. 92.3 per kg and thus making a profit of 30%. Find the value of 'x'.

A 50 Correct Answer Incorrect Answer
B 60 Correct Answer Incorrect Answer
C 80 Correct Answer Incorrect Answer
D 75 Correct Answer Incorrect Answer
E 77 Correct Answer Incorrect Answer

Solution

Cost price of one kg of mixture = (92.3/1.30) = Rs. 71 ATQ, [{60 X (x - 44) + (44 X x)}/(x - 44 + 44)] = 71 Or, 60x - 2640 + 44x = 71x Or, 33x = 2640 So, x = 80

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