In what ratio must tea leaves costing ₹22 per kg be mixed with tea leaves costing ₹41 per kg, so that the mixture is worth ₹24 per kg?

💡 Solution & Explanation

Use alligation: the cheaper part : the dearer part = (dearer price − mixture price) : (mixture price − cheaper price) = (41 − 24) : (24 − 22) = 17 : 2, which simplifies to 17 : 2. Check: mixing in that ratio gives an average of ₹24 per kg. Writing the differences the other way round is the most common mistake.