Question
Two varieties of rice costing Rs 40 per kg and Rs 50 per
kg are mixed and sold at Rs 44 per kg without any profit or loss. In what ratio are the two varieties mixed (40-rupee rice : 50-rupee rice)?Solution
ATQ, Use alligation: Cheaper = 40 Dearer = 50 Mean price = 44 Difference: 50 − 44 = 6 44 − 40 = 4 Ratio (cheaper : dearer) = 6 : 4 = 3 : 2 But 40-rupee rice is cheaper; its quantity ∝ 50 − 44 = 6 50-rupee rice quantity ∝ 44 − 40 = 4 So 40 : 50 rice = 6 : 4 = 3 : 2
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