Question
In a jar initially containing 'm' liters of pure milk
costing Rs. 20 per liter, 50% of the milk is taken out, and honey is added to the remaining milk. This mixture is then poured into another jar, which already contains the same quantity, with a mixture of milk and honey in a ratio of 3:1. To make a 10% profit, find the selling price per liter of this final mixture.Solution
ATQ, First jar ‘m’ liter of pure milk. 50 percent taken out and honey added. So Milk = 0.5m; Honey = 0.5m Second container: same quantity m. Milk: Honey = 3: 1. So Milk= 0.75m and honey = 0.25m Two containers mixed: Total = 2m; Milk = 1.25m and Honey = 0.75m Cost price = Rs.20 Total quantity = By mixture method, let 'n' be the actual price of the mixture and given cost price of milk is 20 and honey is 0 (20 – n)/(n – 0) = 0.75/1.25 n = 12.5; Selling price with 10% profit = 1.1 × 12.5 = 13.75 rupees per liters
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