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A tank which contains a mixture of syrup and water in ratio 15:6. 25.5 litres of mixture is taken out from the tank and 2.5 litres of pure water and 5 litres of syrup is added to the mixture. If resultant mixture contains 25% water, what was the initial quantity of mixture in the tank before the replacement in litres?
77.7
70.78
75.6
80.5
Quantity of Syrup = 15x Quantity of water =6x Total = 21x Resultant Mixture = 21x – 25.5 + 2.5 + 5 = 21x – 18 Resultant water = 6x – 25.5 * (6/21) + 2.5 = 6x – 7.28 Resultant mixture contains 25% water (21x – 18)*25/100 = 6x – 7.28 x = 3.7 Initial quantity = 21*3.7 = 77.7
Hence, option 1 is the correct answer.
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