Question
A seller started with a mixture of 'l' liters containing
70% juice (and lemon). After selling 100 liters of the mixture, the seller added 40 liters of sugar syrup to the remaining mixture. If the amount of juice in the final mixture is 40% more than the quantity of sugar syrup in it, find the value of 'l'.Solution
ATQ, Quantity of juice in the mixture = L × 70% = 0.70l litres Quantity of water in the mixture = L × 30% = 0.30l litres Quantity of juice in 100 litres of mixture = 100 × 70% = 70 litres Quantity of water in 100 litres of mixture = 100 × 30% = 30 litres According to the question, (0.7L – 70) = (0.30L – 30 + 40) × (140/100) Or, 70L – 7000 = 42L + 1400 Or, 28L = 8400 Or, L = 300
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