Question
A jar contains a mixture of orange juice and water in
the ratio of 4:1. 75 litres of the mixture was taken out and 25 litres of water was added to it. If the water was 40% in the resultant mixture, what was the initial quantity of the mixture in the jar?Solution
Orange : water 4x : x Total = 5 x 75 litre of mixture taken out, Orange = 4x/5x × 75 = 60 Orange in mixture = 4x – 60 Water in mixture = x/5x × 75 = 15 Water = (x – 15) + 25 = x + 10 According to the question, (x+10)/(4x-60) = 40/60 6x + 60 = 16x – 240 10x = 300 ∴ x = 30 Initial quantity of mixture = 4x + x = 5x Initial quantity of mixture = 5 × 30 = 150 litres
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