In what ratio must wheat costing ₹41 per kg be mixed with wheat costing ₹59 per kg, so that the mixture is worth ₹46 per kg?

💡 Solution & Explanation

Use alligation: the cheaper part : the dearer part = (dearer price − mixture price) : (mixture price − cheaper price) = (59 − 46) : (46 − 41) = 13 : 5, which simplifies to 13 : 5. Check: mixing in that ratio gives an average of ₹46 per kg. Writing the differences the other way round is the most common mistake.